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Question

Larger of 9950+10050 and 10150

A
9950+10050
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B
10150
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C
Cannot be determined
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D
None
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Solution

The correct option is B 10150
Binomial theorem is given by,
(x+a)n=nC0xna0+nC1xn1a1+nC2xn2a2+...+nCrxnrar+.......+an
Therefore,
10150=(100+1)50=10050+50.10049+25.49.10048+..................

9950=(1001)50=1005050.10049+25.49.10048+............

101509950=2[50.10049+25.49.16.10047+.............]

101509950=10050+50.49.16.10047+............>10050

101509950>10050
10150>9950+10050

Hence larger number =10150

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