Binomial Theorem, Sequence And Series Jee Mains Questions

Jee main is one of the toughest exams in India. Every year 9 lakh students appear for this exam and 4 thousand students are selected for IIT. In this blog, I will share the Binomial Theorem, Sequence And Series Jee Mains Questions this question helps to crack the exam. If you are interested then read carefully.

Binomial Theorem Jee Mains Questions

1. The coefficient of x-6 , in the expansion of (4x/5 + 5/2x2)9 is __________.

2. The coefficient of x5 in the expansion of (2x3-1/3x2)5 is _____________.
(A) 80/9
(B) 8
(C) 9
(D) 26/3

3. The absolute difference of the coefficients of x10 and x7 in the expansion of (2x2+1/2x)11 is equal to :
(A) 103 – 10
(B) 113 – 11
(C) 123 – 12
(D) 133 – 13

4. If the term from the end in the binomial expansion of (4x/5 – 5/2x)2022 is 1024 times 1011th terms from the beginning, the 32 |x| is equal to :
(A) 8
(B) 12
(C) 10
(D) 15

5. If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of (4√2+1/4√3)is √6:1, then the third term from the beginning is:
(A)30√2
(B)60√2
(C)30√3
(D)60√3

6. If the coefficient of x7 in (ax – 1/bx2)13and the coefficient of x–5 in (ax + 1/bx2)13 are equal, then a4b4 is equal to :
(A) 22
(B) 44
(C) 11
(D) 33

7. The fractional part of the number 42022/15 is equal to :
(A) 4/15
(B) 8/15
(C) 1/15
(D) 14/15

8. 25190-19190-9190+2190 is divisible by:
(A) 34 but not by 14
(B) 14 but not by 34
(C) Both 14 and 34
(D) Neither 14 nor 34

9. If the coefficients of three consecutive terms in the expansion of (1+x)n are in the ratio 1 : 5: 20 then the coefficient of the fourth term is:
(A) 5481
(B) 3654
(C) 2436
(D) 1817

10. If the coefficients of x and x2 in (1+x)p(1-x)q are 4 and -5 respectively, then 2p+3q is equal to
(A) 60
(B) 63
(C) 66
(D) 69

There are total 130 Binomial Theorem Jee Mains previous year Questions and the solution are avilable.

Binomial Theorem Jee Mains QuestionsClick Here

Sequence And Series Jee Mains Questions

1. Let the first term ‘a’ and the common ratio ‘r’ of a geometric progression be positive integers. If the sum of squares of its first three terms is 33033, then the sum of these terms is equal to :
(A) 210
(B) 220
(C) 231
(D) 241

2. The sum of the first 20 terms of the series 5 + 11 + 19 + 29 + 41 + ….. is :
(A) 3450
(B) 3420
(C) 3520
(D) 3250

3. If gcd (m, n)=1 and 12 – 22 – 33 – 42 +…………+ (2021)2 + (2022)2 + (2023)3 = 1012 m2n then m2-n2 is equal to:
(A) 180
(B) 220
(C) 200
(D) 240

4. Let a, b, c, and d be positive real numbers such that a + b + c + d = 11. If the maximum value of a5b3c2d is 3750β the the value of β is
(A) 55
(B) 108
(C) 90
(D) 110

5. Let a1, a2, a3, …. be a G.P. of increasing positive numbers. Let the sum of its 6th and 8th terms be 2 and the product of its 3rd and 5th terms be 1/9. Then6(a2 + a4 ) (a4+ a,) is equal to
(A) 2
(B) 3
(C) 3√3
(D) 2√2

There are total 148 Sequence And Series Jee Mains previous year Questions and the solution are avilable.

Sequence And Series Jee Mains QuestionsClick Here