Online Mock Test 1: Number System

If both 11² and 3³ are factors of the number a * 4³ * 6² * 13¹¹, then what is the smallest possible value of 'a'?

 Find the greatest number of five digits, which is exactly divisible by 7, 10, 15, 21 and 28.

10²⁵ - 7 is divisible by

When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?

 Find the G.C.D of 12x²y³z², 18x³y²z⁴, and 24xy⁴z³

 Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?

What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; Where M & N are single digit integers? 

48 students have to be seated such that each row has the same number of students as the others. If at least 3 students are to be seated per row and at least 2 rows have to be there, how many arrangements are possible?

The sum of the first 100 numbers, 1 to 100 is divisible by

Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?