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JEE Binomial Theorem PYQs with Solutions

6 previous year questions from Binomial Theorem (JEE Main & Advanced IOQM) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

6 questionsIOQMAnswers + solutions

About Binomial Theorem PYQs

Binomial Theorem has 6 previous year questions in the Quantrex Academy JEE Main & Advanced IOQM bank. The 6 questions in this list come from Olympiad workbook (6). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Binomial Theorem questions with solutions

Find the largest positive integer n < 30 such that (1)/(2)(n^8+3 n^4-4) is not divisible by the square of any prime number.

Olympiad workbook Solution View → 2

Let F_k(a, b)=(a+b)^k-a^k-b^k and let S=\ 1,2,3,4,5,6,7,8,9,10\ . For how many ordered pairs (a, b) with a, b ∈ S and a ≤ b is (F_5(a, b))/(F_3(a, b)) an integer?

Olympiad workbook Solution View → 3

The number obtained by taking the last two digits of 5^ 2024 in the same order is:

Olympiad workbook Solution View → 4

The number obtained by taking the last two digits of 5^ 2024 in the same order is:

Olympiad workbook Solution View → 5

Find the largest positive integer n < 30 such that (1)/(2)(n^8+3 n^4-4) is not divisible by the square of any prime number.

Olympiad workbook Solution View → 6

Let F_k(a, b)=(a+b)^k-a^k-b^k and let S=\ 1,2,3,4,5,6,7,8,9,10\ . For how many ordered pairs (a, b) with a, b ∈ S and a ≤ b is (F_5(a, b))/(F_3(a, b)) an integer?

Olympiad workbook Solution View →

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Main Binomial Theorem list

The larger JEE Binomial Theorem list is under Mathematics (550 questions).

Related JEE IOQM chapters

Permutation and Combination (112)Basics of Mathematics (88)Properties of Triangles (64)Sequences and Series (38)Quadratic Equation (38)Circle (30)Straight Lines (24)Functions (20)Binary Numbers (8)Vector Algebra (6)

Binomial Theorem in other exams

NDA Binomial Theorem (79)BITSAT Binomial Theorem (34)