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Binomial Theorem Questions

Practice 18 Binomial Theorem questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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18
Total Questions
๐ŸŸข
0
Easy
๐ŸŸก
16
Medium
๐Ÿ”ด
2
Hard
Practice by Exam:Mathematics(18)

About Binomial Theorem โ€” practice questions, PYQs & concepts

Binomial Theorem is a frequently-tested topic on Mathematics. ExamTest.live currently lists 18 Binomial Theorem questions spanning previous-year papers from 2004 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year โ€” every answer key is free, no sign-up required.

Binomial Theorem weight in competitive exams

Across our Binomial Theorem question bank, the largest sources are Mathematics (18). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Binomial Theorem questions are available โ€” build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right โ€” the explanation often surfaces a faster approach you can reuse.

All Binomial Theorem Questions(1โ€“18 of 18)

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Q1mediummcqMathematicsAIEEE 20072026
100% accuracy
The sum of the series is:
Q2mediummcqMathematicsAIEEE 20062026
0% accuracy
If the expansion in powers of of the function is , then is:
Q3mediummcqMathematicsAIEEE 20062026
0% accuracy
For natural numbers , if , and , then is:
Q4mediummcqMathematicsAIEEE 20072026
0% accuracy
In the binomial expansion of , the sum of and terms is zero, then equals:
Q5mediummcqMathematicsJEE Main2026
The term independent of in expansion of is:
Q6mediummcqMathematicsAIEEE2026
If the coefficients of , and terms in the binomial expansion of are in A.P., then and satisfy the equation:
Q7mediummcqMathematicsAIEEE 20122026
If is a positive integer, then is:
Q8hardmcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The coefficient of in the expansion of is:
Q9hardmcqMathematicsAIEEE2026
Let , and .Statement-1: Statement-2: and .
Q10mediummcqMathematicsAIEEE 20092026
The remainder left out when is divided by is:
Q11mediummcqMathematicsAIEEE2026
Statement - 1: .Statement - 2: .
Q12mediummcqMathematicsAIEEE-CBSE-ENG-032026
If is positive, the first negative term in the expansion of is:
Q13mediummcqMathematicsAIEEE-CBSE-ENG-032026
The number of integral terms in the expansion of is:
Q14mediummcqMathematicsAIEEE-CBSE-ENG-032026
If denotes the number of combinations of things taken at a time, then the expression equals:
Q15mediummcqMathematicsAIEEE2026
If the coefficient of in equals the coefficient of in , then and satisfy the relation:
Q16mediummcqMathematicsAIEEE 20042004
0% accuracy
If and then is equal to
Q17mediummcqMathematicsAIEEE 20042004
0% accuracy
The coefficient of the middle term in the binomial expansion in powers of of and of is the same if equals
Q18mediummcqMathematicsAIEEE 20042004
0% accuracy
The coefficient of in expansion of is

Frequently Asked Questions

How many Binomial Theorem questions are on ExamTest.live?โ–ผ
We have 18 Binomial Theorem questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Binomial Theorem MCQs free?โ–ผ
Yes. All Binomial Theorem questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Binomial Theorem questions?โ–ผ
Binomial Theorem questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Binomial Theorem questions effectively?โ–ผ
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.