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Question 1

If x = (157932)2 + (157932) + (157933), then find the value of

Question 2

When a number x, which is a multiple of 23 is divided by 2, 3, 6, and 9, and leaves the remainder 1 in each case. Which of the following number should be added to the least possible value of x to make it a perfect square?

Question 3

What will be the sum of reciprocal of all the factors of 720?

Question 4

What will be the unit digit of

Question 5

What is the value of

Question 6

If P is a prime number and P – 4 is also a prime number, then

Statement I: P (P – 4) + 4 is not a perfect square.

Statement II: When (P + (P – 4)) is divided by 12, it will give 6 as the remainder.

Which of the following statements is/are correct?

Question 7

Find the remainder of

Question 8

What will be the unit digit of 7! × 14! × 21! × ……….. × 77!?

Question 9

When a number N is divided by 9 and 11 it gives a remainder of 2 and 5 respectively. If N < 300, then how many values of N are possible?

Question 10

What is the largest four digit number exactly divisible by 394?

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