New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2017 · 8 Apr · Shift 1 · Q28

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

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2017 · 8 Apr · Shift 1 · Q28

Binomial Theorem question

2017 · 8 Apr · Shift 1 · Q28

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If (27)999 is divided by 7, then the remainder is :

A
1
B
2
C
3
D
6

More from Binomial Theorem

The coefficient of x−5 in the binomial expansion of $(\frac{x + 1}{x ^{\frac{2}{3}} - x ^{\frac{1}{3}} + 1} - \frac{x - 1}{x - x ^{\frac{1}{2}}})^{10},$ where x $e$ 0, 1, is :2017 · MCQ
For x $\in$ R, x $e$ -1, if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 = $i = 0 \sum 2016 a_{i} x^{i},$ then a17 is equal to :2016 · MCQ
If the coefficients of x−2 and x−4 in the expansion of $(x^{\frac{1}{3}} + \frac{1}{2 x ^{\frac{1}{3}}})^{18}, (x > 0),$ are m and n respectively, then $\frac{m}{n}$ is equal to :2016 · MCQ
The term independent of $x$ in expansion of $(\frac{x + 1}{x ^{2/3} - x ^{1/3} + 1} - \frac{x - 1}{x - x ^{1/2}})^{10}$ is2013 · MCQ
If $n$ is a positive integer, then $(3 + 1)^{2 n} - (3 - 1)^{2 n}$ is :2012 · MCQ
The remainder left out when $8^{2 n} - (62)^{2 n + 1}$ is divided by 9 is :2009 · MCQ
In the binomial expansion of $(a - b)^{n}, n \geq 5,$ the sum of $5^{t h}$ and $6^{t h}$ terms is zero, then $a / b$ equals2007 · MCQ
If the expansion in powers of $x$ of the function $\frac{1}{( 1 - a x ) ( 1 - b x )}$ is $a_{0} + a_{1} x + a_{2} x^{2} + a_{3} x^{3} .....$ then $a_{n}$ is2006 · MCQ