Daily Practice Problems
JEE Maths
Binomial Theorem
JEE Maths
Binomial Theorem
If the coefficients of the 5th, 6th, and 7th terms in the expansion of 
are in AP, then the value of n is [Level: Moderate]
(a) 7 only
(b) 14 only
(c) 7 or 14
(d) None of these
Question 2:
What is the sum of coefficient in the expansion of 
. [Level: Moderate]
(a) 1
(b) - 1
(c) 
(d) 
Question 3:
Using binomial theorem, the value of 
is __________ . [Level: Difficult]
Question 4:
Find the remainder, when 
is divided by 25 [Level: Moderate]
(a) 7
(b) 14
(c) 18
(d) 21
Question 5:
The lowest integer which is greater than 
is [Level: Easy]
(a) 1
(b) 2
(c) 3
(d) 4
Question 6:
Find the coefficient of 
in the expansion of 
[Level: Easy]
(a) 20
(b) 30
(c) 40
(d) 50
Question 7:
Find the number of rational terms in the expansion of 
. [Level: Difficult]
(a) 100
(b) 101
(c) 50
(d) 51
Question 8:
Let n be a positive integer. If the coefficients of 2nd, 3rd, 4th terms in the expansion of 
are in A.P. then n is __________ . [Level: Moderate]
Question 9:
Coefficient of 
in the expansion of 
is __________ . [Level: Easy]
Question 10:
The sum S = 
is equal to [Level: Difficult]
(a) 1 + 5.
(b)
(c) 1 + 
(d) 1 + 9.
Question 11:
is equal to [Level: Moderate]
(a) 70
(b) 101
(c) 140
(d) 120
Question 12:
The largest term in the expansion of 
is [Level: Moderate]
(a) 
(b) 
(c) 
(d) 
Question 13:
If the last term in the binomial expansion of 
, then the 3rd term from beginning is [Level: Moderate]
(a) 14
(b) 28
(c) 56
(d) 112
Question 14:
If 
= 
. 
, then a belongs to [Level: Difficult]
(a) 
(b) 
(c) 
(d) 
Question 15:
The sum of 1 + 
+ 
. . . . 
[Level: Moderate]
(a) 
(b) 
(c)
(d) 
Question 16:
Coefficient of 
in the expansion of 
is __________ .[Level: Moderate]
Question 17:
If the coefficient of 
in the expansion of 
is K.
, then K is equal to __________ . [Level: Difficult]
Question 18:
The sum of binomial coefficients in the expansion of is 256. Find the value of n. [Level: Easy]
(a) 7
(b) 8
(c) 9
(d) 10
Question 19:
The coefficient of 
in the expansion of 
is [Level: Easy]
(a) 12
(b) 24
(c) 252
(d) 504
Question 20:
If 
= 36, 
= 84 and = 126, then the values of n and r respectively are [Level: Moderate]
(a) 10, 2
(b) 9, 3
(c) 8, 3
(d) 7, 2
**********
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In summary, problem-solving after learning a theoretical concept on CBSE Binomial Theorem JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.
You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.
Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.
All About Daily Practice Problems on JEE Maths Binomial Theorem NCERT Chapter 8
Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Binomial Theorem NCERT Chapter 8 useful.
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