UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow:
Let a,x,y,z,b be in A.P,where x+y+z=15.Leta,p,q,r,b be in HP, where p−1+q−1+r−1=
5
3
[NDA II 2016]
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What is the value of ab?
[NDA II 2016]
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