AILET entrance exam Question Bank Solutions

Reema, Ruchi, and Richa can make a painting in 15, 20 and 30 days, respectively. They undertake to make a painting for ₹ 810. The share of Reema exceeds that of Ruchi by

If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is true?

Three wheels can complete 40. 24 and 16 revolutions per minutes respectively. There is a green spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again?

In a group of students in a class, 20 are in the debating club, 24 in the drama club and 27 in the recitation club. If 12 like drama and debate, 10 like recitation and debate, 14 like drama and recitation and 7 like all the three activities, then the total number of students in the class is

The difference between the place values of two 7s in the numeral 69758472 is

Which one of the following is not a prime number?

The smallest 6-digit number exactly divisible by 111 is

The largest 5-digit number exactly divisible by 91 is

Which natural number is nearest to 9217 which is completely divisible by 88?

n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?

476** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively

Which of the following numbers will completely divide (49¹⁵ -1)?

What smallest number should be added to 4456, so that the sum is completely divisible by 6?

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is

Three numbers which are coprimes to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is

If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11?

The unit digit in the product (784 x 618 x 917x 463) is

Unit's place digit in (122)¹⁷³ is

On dividing a number by 68, we get 269 as quotient and 0 as the remainder. On dividing the same number by 67, what will the remainder?

The HCF of two numbers is 11 and their LCM is 7700. If one of the numbers is 275, then the other is