1 252 can be expressed as a product of primes as ; A) 2x2x3x3x7 B) 2x2x2x3x7 C) 3x3x3x3x7 D) 2x3x3x3x7
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 : A) 6 B) 9 C) 15 D) 21
7 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 : A) 4 B) 6 C) 8 D) 12
8 The product of the L.C.M. and H.C.F of two numbers is 24. The difference of two numbers is 2. Find the numhers A) 2 and 4 B) 6 and 4 C) 8 and 6 D) 8 and 10
9 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 ? A) 1 litres B) 7 litres C) 31 litres D) 41 litres
10 The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : A) 91 B) 910 C) 1001 D) 1911
11 Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case Then sum of the digits in N is : A) 4 B) 5 C) 6 D) 8
12 The least number which is a perfect square and is divisible by each of the numbers 10, 20 and 24, is A) 1600 B) 3600 C) 6400 D) 14400
13 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 : A) 3 B) 4 C) 5 D) 6
14 The smallest number which when diminished by 7, is divisible by 12, 16, 18 and 21 ?. A) 1008 B) 1015 C) 1022 D) 1032
15 252 can be expressed as a product of primes as : A) 2 x 2 x 3 x 3 x 7 B) 2 x 2 x 2 x 3 x 7 C) 3 x 3 x 3 x 3 x 7 D) 2 x 3 x 3 x 3 x 7