AILET entrance exam Question Bank Solutions for Mathematics

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

Three numbers are in the ratio of 3:4:5 and their LCM is 2400. Then, their HCF is

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12s respectively. In 30 min, how many times do they toll together?

The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is

The ratio, of two numbers is 3:4 and their HCF is 4 then, their LCM is

The sum of the three numbers in AP is 21 and the product of the first and third numbers of the sequence is 45. What are the three numbers?

In AP find 4 + 7 + 10 + 13 + 16 + ... upto 20 terms

In GP find 1 + `1/2`+ `1/4` + ... up to 5 terms.

The smallest number which when divided by 9, 12 and 16, leaves remainder 5 is