# Let a1, a2,......, a30 be an A.P., S = ∑ai and T = ∑a(2i−1). If A5 = 27 and S − 2T = 75, then a10 is equal to :

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Let $a_1,a_2,......,a_{30}$ be an A.P., $S=\sum\limits_{i=1}^{30}a_i$ and $T=\sum\limits_{i=1}^{15}a_{(2i-1)}$. If $A_5=27$ and $S-2T=75$, then $a_{10}$ is equal to :

(1) 57

(2) 47

(3) 42

(4) 52