If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by 1, the fraction becomes 3/4 . What is the original fraction?

Prime number 2, 3, 5, 7, 11, 13 are to be added successively. So, 165 is wrong.

Go on dividing by 4 to get the next number. So, 200 is wrong.

Go on multiplying with 1, 2, 3, 4, 5, 6 to get the next number. So, 96 is wrong.

The pattern is x² + 1, where x = 1, 2, 3, 4, 5, 6, 7, 8 etc. But 64 is out of pattern

The number are square of odd natural numbers, starting from 5 up to 15. So, 36 is wrong.

The number are 7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13 . So, 150 is wrong.

The terms are alternately multiples by 1.5 and divided by 3. However 18.5 does not satisfy it.

Sum of the digits in each number, except 324 is 10.

The number are cubes of primes i.e., 2³, 3³, 5³, 7³, 11³. Clearly, none is wrong.

Alternetly, we add 4 and double the next. So, 132 is wrong. It must be (68 x 2) i.e., 136.