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Quantitative Reasoning – Counting Fingers!

2014_QNR 13. Your grandmother counts upto 108 using the fingers and the thumb of her left hand. If she starts counting from the thumb (Marked A) as 1 to the little finger (marked E) as 5 and comes back to the thumb, on which finger will she end up after counting 108?

1)E
2)B
3)C
4)D

Ans: Every finger repeats on 5th count; since frequency is 5 we will need to find out the remainder when 108 is divided by it. Remainder on division by 5 can be found out by checking the last digit. Here, last digit is 8 which when divided by 5 gives 3 as remainder. 3rd finger is C option (3).

If it was ‘1087965432896’ in place of ‘108’, we could right away tell the remainder as 1. Finger A, would be the answer then. If it was ‘145367860’ in place of ‘108’, we could right away tell the remainder as 0. Finger E, would be the answer then.

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