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1)

The least number of five digits which is exactly divisible by 12, 15 and 18, is :









2)

A number a is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n. An example of perfect number is :









3)

The H.C.F. of 204, 1190 and 1445 is :









4)

The H.C.F. of 1.75, 5.6 and 7 is :









5)

H.C.F. of 4 x 27 x 3125, 8 x y x 25 x 7 & 16 x 81 x 5 x 11 x 49 is :









6)

The sum of two numbers is 528 and their H .C.F. is 33. The number of pairs of numbers satisfying the above conditions is :









7)

Find the least number which when divided by 16, 18; 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.









8)

Three numbers are in the ratio 1:2:3 and their H.C.F. is 12. 1 he numbers are :









9)

The H.C.F. and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is :









10)

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one or the numbers is 275, then the other is :









11)

Which of the following has most number of divisors ?









12)

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is :









13)

Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?









14)

Let the least number of six digits, which when divided by 4, 6, 10 and 15 leaves in each case the same remainder of 2, be N. The sum of the digits in N is :









15)

The smallest number which when diminished by 7, is divisible by 12. 16, 18, 21 and a is: