Q.1
Given that (12 + 22 + 32 + ..... + 202) = 2870, the value of (22 + 42 + 62 + ... + 402 ) is :
Q.2
If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit's place and the thousandth's place respectively are :
Q.3
If p3 - q3 = (p - q) (p - q)2 - xpq, then find the value of x :
Q.4
In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ?
Q.5
If 6*43 - [email protected] = 1904, which of the following should come in place of * ?
Q.6
A number divided by 68 gives the quotient 260 and remainder zero. If the same number is divided by 65, the remainder is :
Q.7
If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true ?
I. n is odd
II. n is prime
III. n is a perfect square
Q.8
If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are :
Q.9
A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on
Q.10
What is the remainder when 231 is divided by 5 ?
Q.11
(800 ÷ 64) × (1296 ÷ 36) = ?
Q.12
The remainder obtained when any prime number greater than 6 is divided by 6 must be :
Q.13
The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is :
Q.14
If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers.
Q.15
The greatest number by which the product of three consecutive multiples of 3 is always divisible is :
Q.16
The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is :
0 h : 0 m : 1 s