Q.

The smallest integer larger than (3+2)6 is

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a

969

b

970

c

971

d

972

answer is B.

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Detailed Solution

(3+2)6+(3−2)6 =2 6C0(3)6+6C2(3)4(2)2+6C4(3)2(2)4+6C6(2)6 =970Since 0<(3−2)6<1⇒969<3+2n<970, the smallest integer larger than (3+2)6 is 970.
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