General Mental Ability

There are 7 places A, B, C, D, E, F and G in a city connected by various roads AB, AC, CD, DE, BF, EG and FG. A is 6 km south of B. A is 10 km west of C. D is 5 km east of E. C is 6 km north of D. F is 9 km west of B. F is 12 km north of G. A person travels from D to F through these roads. What is the distance covered by the person?

How many times the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2:00 p.m. (same day)?

A person walks 100 m West ward, then turns left and walks 100 m. He then takes 225° turn clockwise. In which direction is he walking now?

What is the least possible number of cuts required to cut a cube into 64 identical pieces?

A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction?

Choose the group which is different from the others:

125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side?

Consider the following statements:

Which of the above statements are correct?

Two friends X and Y start running and they run together for 50m in the same direction and reach a point. X turns right and runs 60 m, while Y turns left and runs 40 m. Then X turns left and runs 50 m and stops, while Y turns right and runs 50 m and then stops. How far are the two friends from each other now?

Images of consonants of the English alphabet (Capitals) are observed in a mirror. What is the number of images of these which do not look like their original shapes?

In a group of 120 persons, 80 are Indians and rest are foreigners. Further, 70 persons in the group can speak English. The number of Indians who can speak English is

A woman runs 12 km towards her North, then 6 km towards her South and then 8 km towards her East. In which direction is she from her starting point?

A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drives 40 km, then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house?

A man walks down the backside of his house straight 25 meters, then turns to the right and walks 50 meters again; then he turns towards left and again walks 25 meters. If his house faces to the East, what is his direction from the starting point?

In a group of 15 people; 7 can read French, 8 can read English while 3 of them can read neither of these two languages. The number of people who can read exactly one language is

‘A’ started from his house and walked 20 m towards East, where his friend ‘B’ joined him. They together walked 10 m in the same direction. Then ‘A’ turned left while ‘B’ turned right and travelled 2 m and 8 m respectively. Again ‘B’ turned left to travel 4 m followed by 5 m to his right to reach his office. ‘A’ turned right and travelled 12 m to reach his office. What is the shortest distance between the two offices?

P, Q and R are three towns. The distance between P and Q is 60 km, whereas the distance between P and R is 80 km. Q is in the West of P and R is in the South of P. What is the distance between Q and R?

A group of 19 boys decided to play hockey. Out of these boys, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and pants. What is the number of boys wearing full uniform?

A solid cube of side 3 cm, painted on all its faces is cut up into small cubes of 1 cm side. How many of the small cubes will have exactly two painted faces?

Consider the following three-dimensional figure:

How many triangles does the above figure have?

The outer surface of a 4 cm × 4 cm × 4 cm cube is painted completely in red. It is sliced parallel to the faces to yield sixty four 1 cm × 1 cm × 1 cm small cubes. How many small cubes do not have painted faces?

A person is standing on the first step from the bottom of a ladder. If he has to climb 4 more steps to reach exactly the middle step, how many steps does the ladder have?

A person climbs a hill in a straight path from point ‘O’ on the ground in the direction of north-east and reaches a point ‘A’ after travelling a distance of 5 km. Then, from the point ‘A’ he moves to point ‘B’ in the direction of north-west. Let the distance AB be 12 km. Now, how far is the person away from the starting point ‘O’?

A person X was driving in a place where all roads ran either north-south or east-west, forming a grid. Roads are at a distance of 1 km from each other in a parallel. He started at the intersection of two roads, drove 3 km north, 3 km west and 4 km south. Which further route could bring him back to his starting point, if the same route is not repeated?

A person walks 12 km due north, then 15 km due east, after that 19 km due west and then 15 km due south. How far is he from the starting point?

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group none can speak any other language. If 2 persons in the group can speak two languages only and one person can speak all the three languages, then how many persons are there in the group?

Shahid and Rohit start from the same point in opposite directions. After each 1 km, Shahid always turns left and Rohit always turns right. Which of the following statements is correct?

Four cardboard pieces of specific shapes are shown in the following figure:

Which one of the following figures given can be formed by joining these pieces together?

Examine the following figure:

Which one of the following figures has the above figure embedded in it?

Assume that

1. The hour and minute hands of a clock move without jerking.
2. The clock shows a time between 8 o’ clock and 9 o’ clock.
3. the two hands of the clock are one above the other.

After how many minutes (nearest integer) will the two hands be again lying one above the other?

Out of a total of 120 musicians in a club, 5 percent can play all the three instruments, guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone?

Location of B is north of A and location of C is east of A. The distances AB and AC are 5 km and 12 km, respectively. The shortest distance (in km) between the locations B and C is

A cube has six numbers marked 1, 2, 3, 4, 5 and 6 on its faces. Three views of the cube are shown below:

What possible numbers can exist on the two faces marked (A) and (B), respectively on the cube?

Problem Figures:

Answer Figures:

In the above figure, circle P represents hardworking people, circle Q represents intelligent people, circle R. represents truthful people, and circle S represents honest people. Which region represents the 3 people who are intelligent, honest and truthful but not hardworking?

Six squares are coloured, front/and back, red (R), blue (B), yellow (Y), green (G), white (W) and orange (O) and are hinged together as shown in the figure given below. If they are folded to form a cube, what would be the face opposite the white face?

Three views of a cube following a particular motion are given below:

What is the letter opposite to A?

Consider the following figure and answer the item that follows:

What is total number of triangles in the above grid?

There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football?

In the figure shown above, OP₁ and OP₂ are two plane mirrors kept perpendicular to each other. S is the direction of a beam of light filing on the mirror OP₁. The direction of the reflected beam of light from the mirror OP₂ will be: