WB JEE 2020 | Binomial Theorem Question 22 | Mathematics

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

If c₀, c₁, c₂, ......, c₁₅ are the binomial coefficients in the expansion

of (1 + x)¹⁵, then the value of $${{{c_1}} \over {{c_0}}} + 2{{{c_2}} \over {{c_1}}} + 3{{{c_3}} \over {{c_2}}} + ... + 15{{{c_{15}}} \over {{c_{14}}}}$$ is

1240

120

124

140

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

The number of irrational terms in the expansion of $${\left( {{3^{{1 \over 8}}} + {5^{{1 \over 4}}}} \right)^{84}}$$ is

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

The number (101)¹⁰⁰ $$-$$ 1 is divisible by

10⁴

10⁶

10⁸

10¹²

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

If n is even positive integer, then the condition that the greatest term in the expansion of (1 + x)ⁿ may also have the greatest coefficient, is

$${n \over {n + 2}} < x < {{n + 2} \over n}$$

$${n \over {n + 1}} < x < {{n + 1} \over n}$$

$${{n + 1} \over {n + 2}} < x < {{n + 2} \over {n + 1}}$$

$${{n + 2} \over {n + 3}} < x < {{n + 3} \over {n + 2}}$$

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