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Question

The number of irrational terms in the expansion of (513+214)100 is


A

94

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B

92

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C

93

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D

91

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Solution

The correct option is B

92


(513+214)100 = (214+513)100

Tr+1 = 100Cr (214)100r . (513)r = 100Cr225r4.5r3

For rational terms, 'r' should be divisible by 12.

No.of rational terms = 9

No.of irrational terms = 101 - 9 = 92


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