AILET entrance exam Question Bank Solutions

Read the following data and use it for answering the question that follows.
Six people A, B, C, D, E, and F live in a six-story building, each on one floor. The following statements describe where they stay.

1.  B lives on floor 6.
2. A is equally far from C and E.
3. F is an engineer.
4. D is two floors above F.
5. C does not live next to an engineer.

If Statement V above is disregarded, which floor does A stay on?

Read the following information carefully and answer the question given below.
A couple decided to organize a party and invited a few of their friends. Only the host and hostess were sitting at the opposite ends of a rectangular table with three persons on each side. The pre-requisite of the sitting arrangement was that each person must be seated so that at least on one side he/she has a person of the opposite sex. Romeo is opposite to Sonakshi, who is not the hostess. Ruchir has a woman on his right and is sitting opposite to a woman. Jia is sitting to the hostess's right, next to Vikram. One person is seated between Mahima and Rajni, who is not the hostess. The men were Romeo, Ruchir, Vikram, and Rajnikant while the women were Mahima, Rajni, Sonakshi, and Jia.

The eighth person present, Rajnikant must be

1. The host
2. Seated to Sonakshi's right
3. Seated opposite to Rajni

Read the following information carefully and answer the question given below.
A couple decided to organize a party and invited a few of their friends. Only the host and hostess were sitting at the opposite ends of a rectangular table with three persons on each side. The pre-requisite of the sitting arrangement was that each person must be seated so that at least on one side he/she has a person of the opposite sex. Romeo is opposite to Sonakshi, who is not the hostess. Ruchir has a woman on his right and is sitting opposite to a woman. Jia is sitting to the hostess's right, next to Vikram. One person is seated between Mahima and Rajni, who is not the hostess. The men were Romeo, Ruchir, Vikram, and Rajnikant while the women were Mahima, Rajni, Sonakshi, and Jia.

If each person is placed directly opposite to his/her spouse, which of the following pairs must be married?

By solving inequality 3(a - 6) < 4 + a, answer will be

By solving inequality 6x - 7 > 5, answer will be

Mary scored 200 marks in three tests. If average score of 60 is required then lowest marks she must score for fourth test are

By solving inequality 1⁄3(x - 3) > 1⁄2(x + 2), answer will be

If -5 > a and a > b then -5 is

By solving inequality 1⁄3(x + 4) > (6 - 2x), answer will be

By solving inequality `1/2`(4x + 2) > `1/3`(x + 2), answer will be

If x > y and y > z then

If a < b and b < 0 then

By solving inequality a - 7 < 5 - 3a, answer will be

If a < b then sign used between a⁄-5 and b⁄-5 (if written respectively) is of

If a - 5 = b then

If x is greater than y then sign written between 10x and 10y is of

By solving inequality 18 - y > 9, answer will be

By solving inequality (2x + 3⁄4) - (x + 2⁄2) > 1 - (x + 3⁄2), answer will be

If x < 25 and 25 < b then

By solving inequality 4x - 16 < 0, answer will be