Maths Binomial Theorem & Mathematical Induction NTA Abhiyas Question - Binomial Theorem Single Correct MCQ
Published on: August 14, 2026

The number of terms in the expansion of which are integers is

A
100
B
101
C
102
D
103

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Text Solution

Verified by Experts
The correct answer is:
C

102

Where,K = 0,l,2..... ,1824

Now, will be an integer if

K = 0,6,12,18,...., 1824

Also, will be an integer if K = 0, 9,18, ....., 1818.

Both are integers if K=0,18, 36, ..... , 1818

If the number of terms = n,

1818 = 0 + (n-1)18

n = 102

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