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Five numbers are in A.P whose sum is 25 and product is 2520 if one of these five numbers is -12  then the greatest number amongst them is 

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a
27
b
7
c
212
d
16

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detailed solution

Correct option is D

Let the five terms a−2d,a−d,a,a+d,a+2dSUM=5a=25→a=5 PRODUCT =25−4d225−d2=504→d=±1,d=±112 If d=±1 does not give −12 as a term ∴d=112 Largest term is 5+2d=5+11=16


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