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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 ?


Options:
A .   33
B .   21
C .   16
D .   17
E .   None of these
Answer: Option D
:
D

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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