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Binomial Theorem — JEE Main & Advanced IOQM PYQs

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

6 questionsIOQMSolutions on every page

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 F₅(a, b) F₃(a, b) an integer?

Olympiad workbook Solution View → 3

The number obtained by taking the last two digits of 5²⁰²⁴ in the same order is:

Olympiad workbook Solution View → 4

The number obtained by taking the last two digits of 5²⁰²⁴ 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 F₅(a, b) F₃(a, b) an integer?

Olympiad workbook Solution View →

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