JEE Advanced Paper 1 free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper JEE Advanced Paper 1 set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
The number of terms in the expansion of (2^(
A 4
B 5
C 7
D 14
Correct answer: C — 7
- The general term is C(72, k)·2^( • It is an integer when k is a multiple of 3 and (72 − k) is a multiple of 4.
- Counting k = 0..72 satisfying both gives 7.
- Why the other options are wrong:
- A (4): This is 3 less than the correct value (7); check the arithmetic of the last step.
- B (5): This is 2 less than the correct value (7); check the arithmetic of the last step.
- D (14): This is twice the correct value (7): a factor of 2 has been added.
Terms with integer powers of both radicals: solve the two congruences on k together.
Your sample is downloading. Liked it? JEE Advanced Paper 1 Paper 1 is the full paper: 48 questions and 180 marks in 3 hours, 16 per subject: 4 single-correct (+3, −1), 3 multiple-correct (+4 with partial marks, −2), 6 numerical-value (+4) and 3 matching-list (+4, −1), with a worked solution for every question.
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Questions about this sample
What is in the JEE Advanced Paper 1 free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 3-page PDF; this page shows question 1 with its answer.
How many full JEE Advanced Paper 1 papers are there?
20 original papers for students in India preparing for JEE Advanced (Paper 1) for entry to the IITs. Each is 48 questions and 180 marks in 3 hours, 16 per subject: 4 single-correct (+3, −1), 3 multiple-correct (+4 with partial marks, −2), 6 numerical-value (+4) and 3 matching-list (+4, −1), with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.