Basic Numeracy

A natural number N is such that it can be expressed as N = p + q + r, where p, q, and r are distinct factors of N. How many numbers below 50 have this property?

The 5-digit number PQRST (all distinct digits) is such that T is not equal to 0. P is thrice T. S is greater than Q by 4, while Q is greater than R by 3. How many such 5-digit numbers are possible?

Three prime numbers p, q, and r, each less than 20, are such that p – q = q – r. How many distinct possible values can we get for (p + q + r)?

X can complete one-third of a certain work in 6 days, Y can complete one-third of the same work in 8 days and Z can complete three-fourth of the same work in 12 days. All of them work together for n days and then X and Z quit and Y alone finishes the remaining work in days. What is n equal to?

What is the 489th digit in the number 123456789101112...?

Consider a set of 11 numbers:

Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers ≥ –5.
Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.
Which one of the following is correct?

There are n sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value of n?

Let x be a real number between 0 and 1. Which of the following statements is/are correct?

Select the correct answer using the code given below:

Let be a 3-digit number. What is the HCF of P and 481?

Let PQR be a 3-digit number, PPT be a 3-digit number and PS be a 2-digit number, where P, Q, R, S, T are distinct non-zero digits. Further, PQR − PS = PPT. If Q = 3 and T < 6, then what is the number of possible values of (R, S)?

Team X scored a total of N runs in 20 overs. Team Y tied the score in 10% less overs. Had Team Y's average run rate (runs per over) been 50% higher, the scores would have been tied in 12 overs. How many runs were scored by Team X?

A tram overtakes 2 persons X and Y walking at an average speed of 3 km/hr and 4 km/hr in the same direction and completely passes them in 8 seconds and 9 seconds respectively. What is the length of the train?

The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?

A 4-digit number N is such that when divided by 3, 5, 6, 9 it leaves a remainder of 1, 3, 4, 7 respectively. What is the smallest value of N?

What is the unit digit in the multiplication of 1 × 3 × 5 × 7 × 9 × … × 999?

How many possible values of (p + q + r) are there satisfying where p, q, and r are natural numbers (not necessarily distinct)?

Let p + q = 10, where p, q are integers.
Value-I = Maximum value of p × q when p, q are positive integers.
Value-II = Maximum value of p × q when p ≥ 6, q ≥ 4.
Which one of the following is correct?

The price (p) of a commodity is first increased by k%, then decreased by k%; again increased by k%, and again decreased by k%. If the new price is q, then what is the relation between p and q?

The difference between any two natural numbers is 10. What can be said about the natural numbers which are divisible by 5 and lie between these two numbers?

A set (X) of 20 pipes can fill 70% of a tank in 14 minutes. Another set (Y) of 10 pipes fills th of the tank in 6 minutes. A third set (Z) of 16 pipes can empty half of the tank in 20 minutes. If half of the pipes of set X are closed and only half of the pipes of set Y are open, and all pipes of the set (Z) are open, then how long will it take to fill 50% of the tank?

If n is a natural number, then what is the number of distinct remainders of when divided by 4?

If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7, then what is the ratio of maximum value of (x + y) to minimum value of (x − y)?

Consider the first 100 natural numbers. How many of them are not divisible by any one of 2, 3, 5, 7 and 9?

If N² = 12345678987654321, then how many digits does the number N have?

In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to the ratio of number of runs scored by Y to number of runs scored by Z.
Value-I = Runs scored by X
Value-II = Runs scored by Y
Value-III = Runs scored by Z
Which one of the following is correct?

What is the remainder when is divided by 6?

Consider the following statements:

1. There exists a natural number which when increased by 50% can have its number of factors unchanged.
2. There exists a natural number which when increased by 150% can have its number of factors unchanged.

Which of the statements given above is/are correct?

P and Q walk along a circular track. They start at 5:00 am. from the same point in opposite directions. P walks at an average speed of 5 rounds per hour and Q walks at an average speed of 3 rounds per hour. How many times will they cross each other between 5:20 a.m. and 7:00 a.m.?

Let both p and k be prime numbers such that (p² + k) is also a prime number less than 30. What is the number of possible values of k?

The petrol price shot up by 10% as a result of the hike in crude oil prices. The price of petrol before the hike was ₹ 90 per litre. A person travels 2200 km every month and his car gives a mileage of 16 km per litre. By how many km should he reduce his travel if he wants to maintain his expenditure at the previous level?

What is the maximum value of n such that 7 × 343 × 385 × 1000 × 2401 × 77777 is divisible by 35ⁿ?

What is the sum of the first 28 terms in the following sequence?
1,1,2,1,3,2,1,4,3,2,1,5,4,3,2,..

What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

Consider the following:

Which of the above are correct?

Consider the following statements in respect of the sum S = x + y + z, where x, y and z are distinct prime numbers each less than 10:

Which of the statements given above are correct?

Let p and q be positive integers satisfying p < q and p + q = k. What is the smallest value of k that does not determine p and q uniquely?

Consider the following:
Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women
If the average weight of the women is 63 kg, then what is the average weight of the boys?

X, Y and Z can complete a piece of work individually in 6 hours, 8 hours and 8 hours respectively. However, only one person at a time can work in each hour and nobody can work for two consecutive hours. All are engaged to finish the work. What is the minimum amount of time that they will take to finish the work?

A can X contains 399 liters of petrol and a can Y contains 532 liters of diesel. They are to be bottled in bottles of equal size so that whole of petrol and diesel would be separately bottled. The bottle capacity in terms of liters is an integer.
How many different bottle sizes are possible?

How many consecutive zeros are there at the end of the integer obtained in the product
$1^2\times 2^4\times 3^6\times 4^8\times ...\times {25}^{50}$?

Let X be a two-digit number and Y be another two-digit number formed by interchanging the digits of X. If (X+Y) is the greatest two-digit number, then what is the number of possible values of X?

In an examination, 80% of students passed in English, 70% of students passed in Hindi and 15% failed in both the subjects. What is the percentage of students who failed in only one subject?

What is the rightmost digit preceding the zeros in the value of 30³⁰?

A number is mistakenly divided by 4 instead of multiplying by 4. What the percentage change in the result due to this mistake?

Two persons P and Q enter into a business. P puts ₹14,000 more than Q, but P has invested for 8 months and Q has invested for 10 months. If P’s share is ₹400 more than Q’s share out of the total profit of ₹2,000, what is the capital contributed by P?

Let p, q, r and s be distinct positive integers. Let p, q be odd and r, s be even. Consider the following statements:

Which of the statements given above are correct?

In the expression 5 * 4 * 3 * 2 * 1, * is chosen from +, –, × each at most two times. What is the smallest non-negative value of the expression?

A person buys three articles P, Q and R for ₹ 3,330. If P costs 25% more than R and R costs 20% more than Q, then what is the cost of P?

Three numbers x, y, z are selected from the set of the first seven natural numbers such that x > 2y > 3z. How many such distinct triplets (x, y, z) are possible?

On January 1^st, 2023, a person saved ₹1. On January 2^nd, 2003, he save ₹2 more than that on the previous day. On January 3^rd, 2023, he saved ₹2 more than that on the previous day and so on. At the end of which date was his total savings a perfect square as well a perfect cube?

222³³³ + 333²²² is divisible by which of the following numbers?

The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples.

Consider the following statements:

Which of the statements given above is/are correct?

If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?

421 and 427, when divided by the same number, leave the same remainder 1.
How many numbers can be used as the divisor in order to get the same remainder 1?

What percent of water must be mixed with honey so as to gain 20% by selling the mixture at the cost price of honey?

32⁵ + 2²⁷ is divisible by

A certain number of men can complete a piece of work in 6k days, where k is a natural number. By what percent should the number of men be increased so that the work can be completed in 5k days?

What is the number of fives used in numbering a 260-page book?

Let pp, qq and rr be 2-digit numbers where p < q < r. If pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the following statements:

A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wednesday; A alone, again works on Thursday and so an.

Consider the following statements:

Which. of the above statements is/are correct?

A box contains 14 black balls, 20 blue balls, 26 green balls, 28 Yellow balls, 38 red balls 54 white balls. Consider the following Statements:

Which of the above statements is/are correct?

ABCD is a square. One point on each of AB and CD; and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?

What is the remainder when $85\times 87\times 89\times 91\times 95\times 96$is divided by 100?

A flag has to be designed with 4 horizontal strips using some or all of the colour red, green and yellow. What is the number of different ways in which this can be done so that no two adjacent stripes have the same colour?

How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?

D is a 3-digit number such that the ratio of the number of the sum of its digits is least. What is the difference between the digit at the hundred’s place and the digit at the unit’s place of D?

There are large numbers of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm each. Consider the following statements:

Which of the statements given above is/are correct?

A rectangular floor measures 4 m in length and 2.2 m in breadth. Tiles of size 140cm by 60 cm have to be laid such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. What is the maximum number of tiles that can be accommodated on the floor?

Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following:

Which of the above statements is/are correct?

AB and CD are 2-digit numbers, Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8, then what is A + B + C equal to?

What is the sum of all-digit number less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digit is repeated?

What is the sum of all digits which appear in all the integers from 10 to 100?

Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?

Consider the following in respect of prime number p and composite number c.

Which of the statements given above are correct?

In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots?

For any choices of values of X, Y and Z the 6-digit number of the form XYZXYZ is divisible by:

What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF = 1111, then what is the value of A + B + C + D + E + F?

Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

Let x be a positive integer such that 7x + 96 is divisible by x. how many value of x are possible?

What is the number of selections of 10 consecutive things out of 12 things in a circle taken in the clockwise direction?

A number N is formed by writing 9 for 99 times, What is the remainder if N is divided by 13?

What is the remainder if 2192 is divided by 6?

In an examination, the maximum marks for each of the four papers namely P, Q, R and S are 100. Marks scored by the students are in integers. A student can score 99% in n different ways. What is the value of n?

A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, then which one of the following is correct?

If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q) (r + s)?

A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C?

There are three traffic signals. Each signal changes colour from green to red and then form red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colour are time. At 2:00 p.m. they together turn green. At what time will they change to green next, simultaneously?

What is the unit digit in the expansion of $(57242{)}^{9\times 7\times 5\times 3\times 1}$?

How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?

There are four letters and four envelopes and exactly one letter is to be put in exactly one envelop with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements:

Which of the statements given above is/are correct?

A man started from home to 14:30 hours and drove to village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length 1:25 times the first route at a rate twice as fast reaching home at 16:00 hours. As compared to the clock at home, the village clock is

What is the number of numbers of the form XY, where X and Y are distinct non-zero digits?

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number Z, then the sum becomes 165% of the value of z. Which one of the following is correct

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p × q = 2430, then what is the difference between p and q?

The letters A, B, C, D and E are arranged in such a way that there are exactly two letters between A and E. How many such arrangements are possible?

There is a numeric lock which has a 3-digit PIN. The PIN contains digits 1 to 7. There is no repetition of digits. The digits in the PIN from left to right are in decreasing order. Any two digits in the PIN differ by at least 2. How many maximum attempts does one need to find out the PIN with certainty?

24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

On one side of a 1.01 km long road, 101 plants are planted at equal distance from each other. What is the total distance between 5 consecutive plants?

How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?

One non-zero digit, one vowel and one consonant from English-alphabet (in capital) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can generated?

X and Y run a 3 km race along a circular course of length 300 m. Their speeds are in the ratio 3 : 2. If they start together in the same direction, how many times would the first one pass the other (the start-off is not counted as passing)?

A bill for ₹ 1,840 is paid in the denominations of ₹50, ₹20 and ₹10 notes. 50 notes in all are used. Consider the following statements:

Which of the above statements are not correct?

How many seconds in total are there in x weeks, x days, x hours, x minutes and seconds?

Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.

Consider the following statements:

Which of the above statements is/are correct?

In a tournament of Chess having 150 entrants, a players is eliminated whenever he loses a match. It is given that no match results in a tie/draw. How many matches are played in the entire tournament?

Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm:

Which of the above statements is/are correct?

What is the smallest number greater than 1000 that when divided
by anyone of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?

If $15\times 14\times 13\times ...\times 3\times 2\times 1=3^m\times n$ where m and n are positive integers, then what is the maximum value of m?

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more ta D. The number of coins D has now’, is the smallest two-digit number. How many coins does A have in the beginning?

The average weight of A, B C is 40 Kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. what is the average weight of A, B, C, D, E and F?

There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?

There are two containers X and Y. X contains 100ml of milk and y contains 100ml of water. 20ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?

The digits 1 to 9 are arranged in three rows in such a way that each row contains three digits, and the number formed in the second row is twice the number formed in the first row; and the number formed in the third row is thrice the number formed in the first row. Repetition of digits is not allowed. If only three of the four digits 2, 3, 7 and 9 are allowed to use in the first row, how many such combinations are possible to be arranged in the three rows?

There are eight equidistant points on a circle. How many right-angled triangle can be drawn using these points as vertices and taking the diameter as one side of the triangle?

Which number amongst 2⁴⁰, 3²¹, 4¹⁸ and 8¹² is the smallest?

A person X wants to distribute some pens among six children A, B, C, D. E and F. Suppose A gets twice the number of pens received by B, three times that of C. four times that of D. five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?

The increase in the price of a certain item was 25%, And then the price was decreased by 20% and then again increased by 10%, What is the resultant increase in the price?

A, B and C are three places such that there are three different roads from A to B. four different roads from B to C and three different roads from A to C. In how many different ways can one travel from A to C using these roads?

There are 6 persons arranged in a row. Another person has to shake hands with 3 of them so that he should not shake hands with two consecutive persons. In how many distinct possible combinations can the handshakes take place?

If the price of an article is decreased by 20% and then the new price is increased by 25%, then what is the net change in the price?

Consider the following statements:

Which of the above statements is/are correct?

When a certain number is multiplied by 7, the product entirely comprises ones only (1111…).
What is the smallest such number?

On a chess board, in how many different ways can 6 consecutive square be chosen on the diagonals along a straight path?

From January 1, 2021, the price of petrol (in Rupees per letre) on m^th day of the year is $80+0.1m$, where $m=1,2,3.....,100$and there after remains constant. On the other hand, the price of diesel (in Rupees per litre) on n^th day of 2021 is $69+0.15n$for any n. On which date in the year 2021 are the prices of these two fuels equal?

A cubical vessel of side 1m is filled completely with water. How many millilitres of water is contained in it (neglect thickness of the vessel)?

In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting the entire 90 question, a student got a total of 387 marks. What is the number to incorrect responses?

Using 2, 2, 3, 3, 3, as digits, how many distinct numbers greater than 30000 can be formed?

If 3²⁰¹⁹ is divided by 10, then what is the remainder?

Consider the following multiplication problem:
(PQ) × 3 = RQQ, where P, Q and R are different digits and R ≠ 0.
What is the value of (P + R) + Q?

There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.

Which of the above statements is/are correct?

An amount of money was distributed among A, B and C in the ratio p : q : r

Consider the following statements:

Which of the above statements is/are correct?

Integers are listed from 700 to 1000. In how many integers is the sum of the digits 10?

The number 3798125P369 is divisible by 7. What is the value of the digit P?

A person P asks one of his three friends X as to how much money he had. X replied, “If Y gives me Rs 40, then Y will have half of as much as Z, but if Z gives me @ 40, then three of us will have equal amount.” What is the total amount of money that X, Y and Z have?

Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store, If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the following is correct?

In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys?

Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3.
Let S be their sum.
Which of the following is/are correct?

Select the correct answer using the code given below:

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

Consider the following addition problem:
3P + 4P + PP + PP = RQ2; where P, Q and R are different digits.
What is the arithmetic mean of all such possible sums?

At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other?

A person X from a place A and another person Y from a place B set out at the same time to walk towards each other. The places are, separated by a distance of 15 km. X walks with a uniform speed of 1.5 km/hr and Y walks with a uniform speed of 1 in the first hour, with a uniform speed of 1:25 km/hr in the second hour and with a uniform speed of 1-5 km/hr in the third hour and so on.

Which of the following is/are correct?

Select the correct answer using the code given below

A biology class at high school predictor that a local population of animals will double in size every 12 years. The population at the beginning of the year 2021 was estimated to be 50 animals. If P represents the population after n years, then which one of the following equations represents the model of the class for population?

There are three Points P, Q and R on a straight line such that PQ: OR = 3 : 5. If n is the number of possible values of PQ : PR, then what is n equal to?

A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5^th of the previous height. The ball does not bounce further if the previous height is less than 50 cm. What is the number of times the ball hits the ground before the ball stops bouncing?

P scored 40 marks more than Q in an examination. If Q scored 10% less marks than P, then how much did Q score?

The difference between a 2-digit number and the number obtained by interchanging the positions of the digit is 54.

Consider the following statements:

Which of the above statements is/are correct?

A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5:6:7:8:9:10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?

A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work is further increased by 50%?

A sum of Rs 2,500 is distributed among X, Y and Z in the ratio $\frac{1}{2}:\frac{3}{4}:\frac{5}{6}.$ What is the difference between the maximum share and the minimum share?

In adult population of a city, 40% men and 30% women are married. What is the percentage of married adult population if no man marries more than one woman and no woman marries more than one man; and there are no widows and widowers?

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

Let XYZ be a three-digit number, where (X + Y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by

The recurring decimal representation 1.272727… is equivalent to

A shop owner offers the following discount options on an article to a customer:

Which one of the following is correct?

A digit n > 3 is divisible by 3 but not divisible by 6. Which one of the following is divisible by 4?

Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of q is two times that of P. Let u = m/x and v = n/y. Which one of the following is correct?

A frog tries to come out of a dried well 4.5m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. What is the number of jumps required for the frog to come out of the well?

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?

How many different sums can be formed with the denominations ₹50, ₹100, ₹200, ₹500 and ₹2000 taking at least three denominations at a time?

In a class, there are three groups, A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight for the students of the class?

A car travels from a place X to place Y at an average speed of v km/hr, from Y to X at an average speed of 2v km/hr, again from X to Y at an average speed of 3v km/hr and again from Y to X at an average speed of 4v km/hr. Then the average speed of the car for the entire journey

How many pairs of natural numbers are there such that the difference of whose squares is 63?

What is the largest number among the following?

What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?

How many five-digit prime numbers can be obtained by using all the digit 1, 2, 3, 4 and 5 without repetition of digits?

A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20kg. What is the weight of the empty vessel?

How many zeroes are there at the end of the following product?
$1\times 5\times 10\times 15\times 20\times 25\times 30\times 35\times 40\times 45\times 50\times 55\times 60$

A bottle contains 20 litres of liquid A., 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?

How many different 5-letter words (with or without meaning) can be constructed using all the letters of the word ‘DELHI’ so that each word has to start with D and end with I?

A person X can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?

If 1 litre of water weighs 1kg, then how many cubic millimetres of water will weigh 0.1 gm?

A person bought a car and sold it for Rs 3,00,000. If he incurred a loss of 20%, then how much did he spend to buy the car?

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions $\frac{2}{3},\frac{3}{4},\frac{4}{5}$and $\frac{5}{6}$?

The average score of a batsman after his 50th innings was 46.6. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and B?

A man takes halftime in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?

If you have two straight sticks of length 7.5 feet and 3.25 feet, what is minimum length can you measure?

For what value of n, the sum of digits in the number (10ⁿ + 1) is2?

What is the remainder when $51\times 27\times 35\times 62\times 75$is divided by 100?

As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs 1200. What was the original price of rice per kg.

In the sum
⊗ + 1 ⊗ + 5 ⊗ + ⊗ ⊗ + ⊗ 1 = 1 ⊗ ⊗
For which digit-does the symbol ⊗ stand?

What is the greatest length x such that $3\frac{1}{2}$m and $8\frac{3}{4}$m are integral multiple of x?

One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the reaming page is 195. The torn page contains which of the following numbers?

An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?

Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent `1300 and Rajesh spent `1500. If each racket costs three times a ball does, then what is the price of a racket?

If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

Each face of a cube can be painted in black or white colours, In how many different ways can the cube the painted?

A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52kg. If the weight of the father is 60 kg, then what is the weight of the mother?

The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are

A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have?

If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both went for a swim together, when will they go together next?

When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometres was the runner supposed to run in this event?

The number of times the digit 5 will appear while writing the integers from 1 to 1000 is

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of four parallel lines, is

Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is

A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?

Suppose you have sufficient amount of rupee currency in three denominations: ₹1, ₹10 and ₹50. In how many different ways can you pay a bill of ₹107?

In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?

Raju has 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then

Ena was born 4 years after her parents, marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?

How many triples (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers?

In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?

1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are non-vegetarian.

Select the correct answer using the codes given below:

Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?

In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?

The ratio of a two-digit natural number to a number formed by reversing its digits is 4: 7. The number of such pairs is

Number 136 is added to 5 B 7 and the sum obtained is 7A3, where A and B are integers. It is given that 7A3 is exactly divisible by3. The only possible value of B is

There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?

A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his wining?

Consider the following sum:
I + 1I + 2I + I3 + I1 = 21I
In the above sum, I stands for

How many diagonals can be drawn by joining the vertices of an octagon?

While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred’s place is greater than the digit at ten’s place, and the digit at ten’s place is greater than the digit at unit’s place?

For a sports meet, a winners' stand comprising three wooden blocks is in the following form:

There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how different ways can the winners’ stand be painted?

Twelve equal squares are placed to fit in a rectangle of diagonal 5cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?

A person bought a refrigerator worth ₹22,800 with 12.5% interest compounded yearly. At the end of first year he paid ₹8,650 and at the end of second year ₹9,125. How much will he have to pay at the end of third year to clear the debt?

If X is between –3 and –1, and Y is between – 1 and 1, then X² – Y² is in between which of the following?

A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first number itself by 198, then the difference between the first and last digits is

A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

X and Y are natural numbers other than 1, and Y is greater than X Which of the following represents the largest number?

A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?

A bookseller sold 'a' number of Geography textbooks at the rate of ` x per book, 'a + 2' number of History textbooks at the rate of `(x + 2) per book and ‘a – 2’ number of mathematics text books at the rate of (x –2) per book. What is his total sale in

Two persons, A and B. are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

A shopkeeper sells an article at Rs 40 and gets X% profit. However, when he sells it at Rs 20, he faces same percentage of loss. What is the original cost of the article?

If 2 boys and 2 girls are to be arranged in a row so that the girls are not next to each other, how many possible arrangements are there?

In a city 12% of households earn less than `30,000 per year, 6% households earn more than Rs 2,00,000 per year, 22% households earn more than Rs 1,00,000 per year and 990 households earn between Rs 30,000 and Rs 1,00,000 per year. How many households earn between Rs 1,00,000 and Rs 2,00,000 per year?

The monthly incomes of X and Y are in the ratio of 4: 3 and their monthly expenses are in the ratio of 3 : 2. However, each saves Rs 6,000 per month. What is their total monthly income?

If there is a policy that 1/3rd of a population of a community has migrated every year from one place to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?

Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall, 8 m from the other wall and 9 m from the point P. How many meters is the fly from the ceiling?

P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?

What is the total number of digits printed, if a book containing 150 pages is to be numbered from to 150

There are thirteen 2-digit consecutive odd numbers. If 39 is the mean of the first five such numbers, then what is the mean of all the thirteen numbers?

The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4 : 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?

A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?

How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?

Suppose the average weight of 9 persons is 50kg. The average weight of the first 5 persons is 45 kg, whereas the average weight of the last 5 persons is 55 kg, Then the weight of the 5th person will be

There are certain 2-digit numbers. The difference between the number and the one obtained on reversing it is always 27. How many such maximum 2-digit numbers are there?

A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?

Certain 3-digit numbers have the following characteristics:

1. All the three digits are different.
2. The number is divisible by 7.
3. The number on reversing the digits is also divisible by 7.

How many such 3-digit numbers are there?

There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to

If for a sample data - Mean < Median < Mode, then the distribution is

There are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. What is the maximum number of rectangles and squares that can be formed?

A clock strikes, once at 1o'clock, twice at 2o'clock and thrice at 3 o'clock, and soon. If it takes 12 seconds to strike at 5 o'clock, what is the time taken by it to strike at 10 o'clock?

There are three pillars, X, Y and-Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance. A climbs on X by 6cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of the requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?

The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?

Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal's position if he agreed?

A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour?

A round archery target of diameter 1 m is marked with four scoring regions from the centre outwards as red, blue, yellow and white. The radius of the red band is 0.20 m. The width of all the remaining bands is equal. If archers throw arrows towards the target, what is the probability, that the arrows fall in the red region of the archery target?

The average monthly income of a person in a certain family 5 is ₹ 10,000. What will be the average monthly income of a person in the same family if the income of one person increased by ₹ 1,20,000 per year?

The total emoluments of two persons are the same, but one gets allowances to the extent of 65% of his basic pay and the other gets allowances to the extent of 80% of his basic pay. The ratio of the basic pay of the former to the basic pay of the latter is:

AB is a vertical trunk of a huge tree with A being the point where the base of the trunk touches the ground. Due to a cyclone, the trunk has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the trunk at C. If the end of the broken part B touches the ground at D which is at a distance of 5 meters from A, then the original height of the trunk is:

In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With the additional contribution of 2 by one students only, the total collection is 443. Then how many students are there in the class?

There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per day out of which 5% are unfit for sale. In how many days will the order be completed?

An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?

In a race, a competitor has to collect 6 apples which are kept a straight line on a track and a bucket is placed at the beginning of the track which is a starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run if the bucket is 5 meters from the first apple and all other apples are placed 3 meters apart?

How many numbers are there between 100 and 300 which, either begin with or end with 2?

There are five hobby clubs in a college —photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

W can do 25% of a work-in 30days, X can do 1/4 of the 110. work in 10 days, Y can do 40% of the work in 40 days and Z. can do 1/3 of the work in 13 days. Who will complete the work first?

In a class, there are 18 very tall boys. If these constitute three fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

In a question paper there are five questions to be attempted and answer to each question has two choices—True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence. For this to happen the maximum number of candidates is:

Anita's mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is:

A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each period is:

The monthly average salary paid to all the employees of a company was Rs 5000. The monthly average salary paid to male and female employees was Rs 5200 and Rs 4200 respectively. Then the percentage of males employed in the company is:

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?

There are some nectar-filled flowers on a tree and some bees are hovering on it. If one bee lands on each flower, one bee will be left out. If two bees land on each flower, one flower will be left out. The number of flowers and bees respectively are:

A cylindrical overhead tank of radius 2m and height 7m is to be filled from an underground tank of size 5.5m × 4m × 6m. How much portion of the underground tank is still filled with water after filling the overhead tank completely?

A daily train is to be introduced between station A and station B starting from each at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?

A and B walk around a circular park. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other after 800 a.m. and before 9.30. a.m.?

A piece of tin is in the form of a rectangle having length 12cm and width 8 cm. This is used to construct a closed cube. The side of the cube is:

Ram and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?

30g of sugar was mixed in 180 ml water in a vessel A, 40 g of sugar was mixed in 280 ml of water in vessel B and 20g of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is

The sum of the ages of 5 members comprising a family, 3 years ago, was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby?

A person allows 10% discount for cash payment from the marked price of a toy and still he makes a 10% gain. What is the cost price of the toy which is marked Rs 770?

If R and S are different integers both divisible by 5, then which of the following is not necessarily true?

A selection is to be made for one post of Principal and two posts of Vice-Principal. Amongst the six candidates called for the interview, only two are eligible for the. post of Principal while they all are eligible for the post of Vice Principal. The number of possible combinations of selectees is

In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C; and 10% read all the three magazines. What percentages do not read any magazine?

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful.

Which of the following statements is correct?

In a test, a candidate attempted only 8 questions and secured 50% marks in each of the questions. If he obtained a total of 40% in the test and all question in the test carried equal marks, how many questions were there in the test?

Two equal glasses of same type are respectively 1/3 and ¼ full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?

In a society it is customary for friends of the same sex to hug and for friends met in a party and there were 24 handshakes. Which one among the following numbers indicates the possible number of hugs?

In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?

Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in both English and Mathematics. The number of students who passed finally is

A cow costs more than 4 goats but less than 5 goats. If a goat costs between ₹ 600 and ₹ 800, which of the following is a most valid conclusion?

A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father’s and the mother’s age is 51 years. What is the age of the son?

There are 5 tasks and 5 persons. Task – 1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?

In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

Two pipes A and B can independently fill a tank completely in 20 and 30 minutes respectively. If both the pipes are opened simultaneously, how much time will they take to fill the tank completely?

Between 6 p.m. and 7 p.m. the minute hand of a clock will be ahead of the hour hand by 3 minutes at

An automobiles owner reduced his monthly petrol consumption when the prices went up. The price-consumption relationship is as follows:

If the price goes up to Rs 80 per litre, his expected consumption (in litres) will be:

Two cities A and B are 360km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. What is the average speed of the car?

In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/motorbikes (two wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is

If ABC × DEED = ABCABC; where A, B, C, D and E are different digits. What are the values of D and E?

A students has to put for 2 subjects out of 5 subjects for a course, namely, Commerce, Economics, Statistics, Mathematics I and Mathematics II. Mathematics II can be offered only if Mathematics I is also opted. The number of different combination of two subjects which can be opted is

The monthly incomes of Peter and Paul are in the ratio of 4:3. Their expenses are in the ratio of 3 : 2. If each saves Rs 6,000 at the end of the month, their monthly incomes respectively are (in`)

A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pair by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order?

A group of 630 children is seated in rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible?

Five persons fire bullets at a target at an interval of 6, 7, 8, 9 and 12 seconds respectively. The number of times they would fire the bullets together at the target in an hour is

For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs 5 each, one-third at the rate of Rs 3 each and the rest for Rs 2 each. What was the total amount received?

Two cars start towards each other; from two places A and B which are at a distance of 160 km. They start at the same time 08 :10 AM. If the speeds of the cars are 50km and 30 km per hour respectively, they will meet each other at

A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. If all the three bells ring at the same time at 8 o'clock in the morning, at what other time will they all ring together?

A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden

As per agreement with a bank, a businessman had to refund a loan in some equal instalments without interest. After paying 18 instalments he found that 60 percent of his loan was refunded. How many instalments were there in the agreement?

If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the other

A straight line segment is 36 cm long. Points are to be marked on the line from both the end points. From each end, the first point is at a distance of 1cm from the end, the second point is at a distance of 2 cm from the first point and the third point is at a distance of 3 cm from the second point and soon. If the points on the ends are not counted and the common points are counted as one, what is the number of points?

A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. If he walks at a speed of 6 km/hr., then he reaches the factory 7 mins early. The distance of the factory from his house is

A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?

Out of 120 applications for a post, 70 are male and 80 have a driver's license. What is the ratio between the minimum to maximum number of males having driver's license?

A thief running at 8km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100m ahead of the policeman, then required for the policeman to catch the thief will be

Consider the following diagrams:

x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. Based on the information, the total number of coins in the collection now becomes

In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?

There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

The tank-full petrol in Arun's motor-cycle lasts for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?

A sum of Rs 700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, what is the least value of the prize?

A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?

Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?

Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

A student on her first 3 tests received an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?

A person has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively

A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day etc., the penalty for each succeeding day being Rs 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?

There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C?

In a group of persons, 70% of the persons are male and 30% of the persons are married. If two-sevenths of the males are married, what fraction of the females is single?

If a bus travels 160km in 4 hours and a train trave1s 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided.
How many females were not in favour the proposal?

A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20m × 15m × 6m. The water of this tank will last for

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided.
How many males were undecided?

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided.
How many females voted for the proposal?