Number System Easy Questions and Answers

Three - fourth of number is more than two-third of the number by 5. The number is ?

Let the number be N.
Then, 3N/4 - 2N/3 = 5

Let the number be N.
Then, 3N/4 - 2N/3 = 5
⇒ (9N - 8N) / 12 = 5
∴ N = 60

What number must be added to numerator and denominator of 3/4 to give 11/12 ?

Let (3 + x)/ (4 + x) = 11/12.
Then, 12(13 + x) = 11 (4 + x)

Let (3 + x)/ (4 + x) = 11/12.
Then, 12(13 + x) = 11 (4 + x)
⇒ x = 44 - 36 = 8

Three number are in the ratio 4 : 5 : 6 and their average is 25. The largest number is ?

Let the number be 4N, 5N and 6N
Then, 4N + 5N + 6N/3 = 25

Let the number be 4N, 5N and 6N
Then, 4N + 5N + 6N/3 = 25
or 15N = 75
or N = 5
Then largest number = 6N = 6 x 5 = 30

The sum of three consecutive odd number is 57. The middle one is ?

Let the requirement odd integers be N, N +2 and N + 4
Then, N + (N + 2) + (N + 4) = 57

Let the requirement odd integers be N, N +2 and N + 4
Then, N + (N + 2) + (N + 4) = 57
⇒ 3N = 51
⇒ N = 17
∴ The integers are 17, 19, 21.

A number when divided by 6 is diminished by 40. The number is ?

Let the required number be N,
Then, N/6 = N - 40

Let the required number be N,
Then, N/6 = N - 40
⇒ N + 240 = 6N
∴ N = 48.

Number System