A cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the big cube. The number of small cubes with only one of the sides painted is

There were 50 faculty members comprising 30 males and the rest of females. No male faculty member knew music, but many of the female faculty members did. The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no member knew music. The conclusion is that:

In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is

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 the from the starting point?

Four friends A, B, C, and D need to cross a bridge. A maximum of two persons can cross it at a time. It is night and they just have one lamp. Persons that cross the bridge must carry the lamp to find the way. A pair must walk together at the speed of the slower person. After crossing the bridge, the person having faster speed in the pair will return with the lamp each time to accompany another person in the group. Finally, the lamp has to be returned at the original place and the person who returns the lamp has to cross the bridge again without the lamp. To cross the bridge, the time taken by them is as follows : A: 1 minute, B: 2 minutes, C: 7 minutes and D : 10 minutes.

What is the total minimum time required by all the friends to cross the bridge?

There are five persons in a group – P, Q, R, S, and T. The group has one doctor, one lawyer and one artist. P and S are unmarried students. T is a man married to one of the group members. Q is the brother of P and is neither doctor nor artist. R is not doctor.

Who is the artist?

Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.

Which one of the following boxes contains the golf ball?

Consider the given information and answer the three items that follow. When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order are: Ribeiro, Kumar and Singh. Further, we know that:

1. neither B nor Ribeiro wore a white sweater.
2. C wore a tie.
3. Singh’s garment was not white.
4. Kumar does not wear a jacket.
5. Ribeiro does not like to wear the black colour.
6. Each of the friends wore only one outer garment of only one colour.

What is the colour of the tie?

There are five persons in a group – P, Q, R, S, and T. The group has one doctor, one lawyer and one artist. P and S are unmarried students. T is a man married to one of the group members. Q is the brother of P and is neither doctor nor artist. R is not doctor.

Who is the doctor?

Consider the following statement: “We shall go either for a picnic or for trekking”. Which of the following, if true, would falsify this claim?

Consider the given information and answer the three items that follow. When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order are: Ribeiro, Kumar and Singh. Further, we know that:

1. neither B nor Ribeiro wore a white sweater.
2. C wore a tie.
3. Singh’s garment was not white.
4. Kumar does not wear a jacket.
5. Ribeiro does not like to wear the black colour.
6. Each of the friends wore only one outer garment of only one colour.

Who wore the sweater?

Consider the given information and answer the three items that follow. When three friends A, B and C met, it was found that each of them wore an outer garment of a different colour. In random order, the garments are: jacket, sweater and tie; and the colours are: blue, white and black. Their surnames in random order are: Ribeiro, Kumar and Singh. Further, we know that:

1. neither B nor Ribeiro wore a white sweater.
2. C wore a tie.
3. Singh’s garment was not white.
4. Kumar does not wear a jacket.
5. Ribeiro does not like to wear the black colour.
6. Each of the friends wore only one outer garment of only one colour.

What is C’s surname?

A ate grapes and pineapple; B ate grapes and oranges; C ate oranges, pineapple and apple; D ate grapes, apple and pineapple. After taking of the above facts, its can be said that the cause of sickness was:

There are five persons in a group – P, Q, R, S, and T. The group has one doctor, one lawyer and one artist. P and S are unmarried students. T is a man married to one of the group members. Q is the brother of P and is neither doctor nor artist. R is not doctor.

Who of the following is definitely a man?

There are five persons in a group – P, Q, R, S, and T. The group has one doctor, one lawyer and one artist. P and S are unmarried students. T is a man married to one of the group members. Q is the brother of P and is neither doctor nor artist. R is not doctor.

Who is the spouse of R?

There are five persons in a group – P, Q, R, S, and T. The group has one doctor, one lawyer and one artist. P and S are unmarried students. T is a man married to one of the group members. Q is the brother of P and is neither doctor nor artist. R is not doctor.

Who is the lawyer?

Consider the following statements:

1. Either A and B are of the same age or A is older than B.
2. Either C and D are of the same age or D is older than C.
3. B is older than C.

Which of the following conclusions can be drawn from the above statement?

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

Five people A, B, C, D, and E are seated at a round table. Every chair is spaced equidistant from adjacent chairs. i. C is seated next to A. ii. A is seated two seats from D. iii. B is not seated next to A.

On the basis of the above information, which of the following must be true?

1. D is seated next to B.
2. E is seated next to A.
3. D and C are separated by two seats.

Select the correct answer using the code given below:

Consider the following statements:

1. The rate of population growth is increasing in the country.
2. The death rate is declining faster in the country compared to birth rate.
3. The birth rate is declining faster in the country compared to death rate.
4. Rural-urban migration is taking place regularly in the country.

Which one of the following conclusions may be true in the light of the above facts?

Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.

Which of the following statements is/are correct?

Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.

The football is in the box of which colour?

A military code writes SYSTEM as SYSMET and NEARER as AENRER. Using the same code, FRACTION can be written as

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