250 Number Theory Questions with Solutions




Download : 250 Number Theory Questions with Solutions

1.

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

  1. 2, 4 and 8
  2. 2 and 4
  3. 2
  4. 100
  5. None of these

2.

How many different factors does 48 have, excluding 1 and 48?

  1. 12
  2. 4
  3. 8
  4. 10
  5. None of these

3.

1025 – 7 is divisible by _____

  1. 2
  2. 3
  3. 9
  4. Both (2) and (3)

4.

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

  1. 6xy2z2
  2. 6x3y4z3
  3. 24xy2z2
  4. 24xy3z2
  5. 18x2y2z3

 

5.

What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; where M & N take integer values from 0 to 9, inclusive?

  1. M = 7; N = 8
  2. M = 8; N = 6
  3. M = 6; N = 4
  4. M = 5; N = 4
  5. M = 4; N = 6

6.

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?

  1. 4
  2. 10
  3. 8
  4. 7
  5. 6

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