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Question

10x when divided by 13 remainder = -1. If x is a natural number less than 100 how many solutions are possible for x ?


Your Answer
A
33
Your Answer
B
21
Your Answer
C
16
Correct Answer
D
17
Your Answer
E
None of these

Solution

The correct option is B 17

The first power of 10 for which a division by 13 gives a remainder -1 is x=3. the next power of 10 will be 109 . hence it falls in an AP with first term as 3 and last term as 99 with a common difference of 6

number of terms =(993)6+1=966+1=16+1=17 terms.

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