kajolnb wrote:

A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is

A. 74

B. 75

C. 175

D. 680

E. 690

Back solving is a good technique but I like to keep it as the last option. Reasons for that:

1. It involves a lot of calculations so chances of error are relatively higher.

2. Sometimes, it is not possible to take an educated guess even after trying a couple of values so it could certainly be time consuming if the first numbers you try do not fall in place.

So, as an alternative approach, let me give you an equation that you can use.

Let the number be N.

"A number when divided by 5"

That is N/5

" gives a number which is 8 more than"

N/5 = 8 +

"the remainder obtained on dividing the same number by 34."

N = 34Q + R

So remainder obtained when N is divided by 34 is R which is (N - 34Q)

N/5 = 8 + (N - 34Q)

Isolate N from this equation to get:

N = 85Q/2 - 10

N will take the smallest value when Q = 2 (so that we get an integer value)

N = 85 - 10 = 75

_________________

Karishma

Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!