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Q.

If ai, where i=1,2,........9 are the squares of odd integers then a1    a2    a3a4    a5    a6a7    a8    a9 is a multiple of

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a

9

b

16

c

64

d

1285

answer is C.

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Detailed Solution

=(2m+1)2(2n+1)2(2p+1)2(2q+1)2(2r+1)2(2s+1)2(2t+1)2(2u+1)(2v+1)2,

put

 m=0,n=1,p=2,q=3,r=4

s=5,t=6,u=7,v=8

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If ai, where i=1,2,........9 are the squares of odd integers then a1    a2    a3a4    a5    a6a7    a8    a9 is a multiple of