New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2021 · 25 Jul · Shift 2 · Q24

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2021 · 25 Jul · Shift 2 · Q24

Binomial Theorem question

2021 · 25 Jul · Shift 2 · Q24

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

The sum of all those terms which are rational numbers in the expansion of (21/3 + 31/4)12 is :

A
89
B
27
C
35
D
43

More from Binomial Theorem

If the greatest value of the term independent of 'x' in the expansion of $(x sin α + a \frac{c o s α}{x})^{10}$ is $\frac{10 !}{( 5 !) ^{2}}$ , then the value of 'a' is equal to :2021 · MCQ
The lowest integer which is greater than $(1 + \frac{1}{10 ^{100}})^{10^{100}}$ is .2021 · MCQ
If the co-efficient of x7 and x8 in the expansion of $(2 + \frac{x}{3})^{n}$ are equal, then the value of n is equal to .2021 · Numerical
The maximum value of the term independent of 't' in the expansion of $(t x^{\frac{1}{5}} + \frac{( 1 - x ) ^{\frac{1}{10}}}{t})^{10}$ where x $\in$ (0, 1) is :2021 · MCQ
3 $\times$ 722 + 2 $\times$ 1022 $-$ 44 when divided by 18 leaves the remainder .2021 · Numerical
If the coefficients of x7 in $(x^{2} + \frac{1}{b x})^{11}$ and x $-$ 7 in $(x - \frac{1}{b x ^{2}})^{11}$ , b $e$ 0, are equal, then the value of b is equal to :2021 · MCQ
A possible value of 'x', for which the ninth term in the expansion of ${3^{l o g_{3} 25^{x - 1} + 7} + 3^{(- \frac{1}{8}) l o g_{3} (5^{x - 1} + 1)}}^{10}$ in the increasing powers…2021 · MCQ
If $(\frac{3 ^{6}}{4 ^{4}}) k$ is the term, independent of x, in the binomial expansion of $(\frac{x}{4} - \frac{12}{x ^{2}})^{12}$ , then k is equal to .2021 · Numerical