AIEEE 2012 PYQ Mock Test

Topics Covered

Sample Questions from this Test

1. The equation $e^{\sin x}-e^{-\sin x}-4=0$ has:
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2. Let $\hat{a}$ and $\hat{b}$ be two unit vectors. If the vectors $\vec{c}=\hat{a}+2\hat{b}$ and $\vec{d}=5\hat{a}-4\hat{b}$ are perpendicular to each other, then the angle between $\hat{a}$ and $\hat{b}$ is:
3. A spherical balloon is filled with $4500\pi$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of $72\pi$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases $49$ minutes after the leakage began is:
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Test Instructions

• The test contains 90 questions and a total of 90 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.