IIT-JEE (Main & Advanced) Engineering Suite

Advanced multi-concept problem solving in Physics, Chemistry, and Mathematics designed for national top percentiles and IIT admissions.

EXAM TARGET

99.5+ %ile

JEE Main CBT & JEE Advanced

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JEE Main National CBT Mock Test (Sample 3 Qs)

Simulates authentic National Testing Agency (NTA) & Central examination software with live countdown timers, question palette navigation, and negative marking.

Questions

3 Qs

Time Allotted

10 Minutes

Marking Scheme

+4 / -1

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24/7 AI Academic Doubt Solver & Mentor

Instant Step-by-Step Concept Resolution for IIT-JEE (Main & Advanced) (Class 11, 12 & Droppers)

⚡ Live AI Online

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JEE Main & Advanced Official PYQ Vault

Categorized multi-concept problems with step-by-step mathematical proofs • Showing 2 of 2 Questions

JEE Main OfficialMathematics • Definite Integrals

Medium

Q1.Evaluate: I = ∫ (from 0 to π/2) [ (sin x)^(3/2) / ( (sin x)^(3/2) + (cos x)^(3/2) ) ] dx.

Concept: King's Property of Definite Integrals

JEE Main OfficialPhysics • Rotational Dynamics

Medium

Q2.A solid sphere and a hollow sphere of equal mass and radius roll down an inclined plane from rest without slipping. Which reaches the bottom first?

Concept: Pure Rolling on Inclined Plane and Moment of Inertia

🧠 JEE Advanced Master Formula Deck

Card 1 of 2 • 0 Mastered

Mathematics

❓ Term / Question (Click to Flip)

Determinant of Adjoint matrix: |adj(A)| for an n × n matrix?