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MathsMediumMCQ2021 ยท 16 Mar Shift 1

Q63.If n is the number of irrational terms in the expansion of (31/4 + 51/8) 60 , then (n โˆ’1) is divisible by : (1) 26 (2) 30 (3) 8 (4) 7

What This Question Tests

The question requires identifying the conditions on 'r' for the general term in a binomial expansion to be rational, then counting these terms to find the number of irrational terms.

Concepts Tested

General term of binomial expansionConditions for rational termsCounting principles

Formulas Used

T_{r+1} = nCr * a^(n-r) * b^r

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