AILET entrance exam Question Bank Solutions

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

Which one of the following numbers is completely divisible by 99?

When a number is divided by 779, we get a remainder of 47. What remainder will be obtained by dividing the same number by 19?

The sum of the three numbers is 132. If the first number be twice the second and third numbers be one-third of the first. then the second number is

Which of the following numbers should be added to 11158 to make it exactly divisible by 77?

A number divided by 56 gives 29 as the remainder. If the same number is divided by 8, the remainder will be

LCM of 22, 54, 108, 135, 198 is

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

Product of two expressions ⁄ L.C.M =

Number of methods to find H.C.F are

For two or more algebric expressions, expression of lowest degree which is divisible by each of them without remainder is known as

For two or more algebric expressions, expression of highest degree which divides each of them without remainder is called

`("H.C.F" × "L.C.M")/(1"st expression")` =