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If a1, a2, a3 is an A.P. such that a1+a5+a10+a15+a20+a24=225 then a1+a2+a3++a23+a24  is equal to

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a
909
b
75
c
750
d
900

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detailed solution

Correct option is D

We have,a1+a5+a10+a15+a20+a24=225⇒a1+a24+a5+a20+a10+a15=225⇒3a1+a24=225⇒a1+a24=75∴ a1+a2+a3+……+a24=242a1+a24=12×75=900


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