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Q.

If n arithmetic mans are inserted between a and 100 such that the ratio of the first mean to the last mean is 1 : 7 and a + n = 33, then the value of n is :

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a

21

b

22

c

23

d

24

answer is C.

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Detailed Solution

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Common difference =d=100an+1A1=a+dAn=100dgiven that A1An=17a+d100d=177a+8d=1007a+8100an+1=100       ...(1)but a=33-n                               ...(2)

Now, by Eq. (1) and (2) 

7n2132n667=0

n=23 and n=297 reject. 

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