Bunuel wrote:

When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?

A. 5

B. 7

C. 11

D. 14

E. 21

SOLUTION 1:Assume some alues of Integer as per given constraint which is a number that leaves remainder 14 when divided by 35

First value of k = 35+14 = 49

Second value of k = 35+49 = 84

Third value of k = 35+84 = 119... and so on...

Now we see all these values of k are NOT divisible by 5 (Option A ruled out)

Now we see all these values of k are divisible by 7 (Option B RETAINED)

Now we see all these values of k are NOT divisible by 11 (Option C ruled out)

Now we see all these values of k are NOT divisible by 14 (Option D ruled out)

Now we see all these values of k are NOT divisible by 21 (Option E ruled out)

Answer: Option B

SOLUTION 2:k = 35x + 14

Now we see both these parts of equation are divisible by 7 (Option B )

Answer: Option B

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