Numbers

1. The remainder when a (a>0) is divided by 4 can't be

a) 0 b) 1 c) 2 d) 3 e) 4
(S)

2 If x divided by 15 it gives remainder of 3 which of the following must be true

I) x is even
II) x is odd
III) x = 5y + 3 for some integral value of y.
IV) x = 3y for some integral value of y.
a) I & II only b) I, II & III only c) II & III only
d) III & IV only e) I, III & IV only.
(D)

3 If a and b are positive Integers and

What could be remainder when a is divided by b.

a) 0 b) 1 c)2 d)3 e) 4
(M)
4 Remainder when x4 - x2 + 1 is divided by x-1 is

a) 1 b) 0 c) 2 d) x e) x2
(S)
5 Difference between two numbers that are exactly divisible by 3,5 and 9 is always.

a) Multiple of 30
b) Divisor of 30
c) Divisor of 15
d) Multiple of 15
e) Multiple of 10
(M)
6 If 5 divided by x remainder is 1 and 5n divided by x remainder is also 1 where n & x are positive integes then x could be.

a) 0 b) 1 c) 6 d) 3 e) 4
(M)
7 If LCM of 2 numbers a & b is 10 and LCM of other 2 numbers c & d is 15 then LCM of all 4 numbers a ,b ,c and d is

a) 150 b) 20 c) 30 d) 60 e) none
(S)
8 If A is product of six different odd integers which of the following is true. ( If A > 0 )

I) Numbers of odd Integers > Number of negative Integers
II) Number of negative Integers > Number of odd Integers.
III) A is odd.

a) I only b) II only c)III only d) I & III only
e) I, III & II all
(D)
9 x balls are to be distributed among y people equally then b balls are left. What is share of each person

a) b) c) d) e)
(M)
10 H.C.F of two different positive Integers a and b is 3. What should be H.C.F of 5a and 5b.

a) 5 ab b) 5 c) 3 d) 15 e) ab