Q.

Between two numbers whose sum is 13/6  , an even number of A.M’s are inserted , the sum of these means exceeds the number of means by unity, then find the number of means

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a

10

b

12

c

13

d

15

answer is B.

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Detailed Solution

Let a and b be two numbers and 2n, A.M’s are inserted between a and b, then from the given data we can write ,2n2(a+b)=2n+1∵a+b=1316→n  136=2n+1⇒n=6∴ Number of mean =12.
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