AIEEE 2003 (Maths) Mock Test

Topics Covered

Sample Questions from this Test

1. A function $f$ from the set of natural numbers to integers defined by$f(n)=\{\begin{array}{ll}\frac{n-1}{2},& \text{when }n\text{ is odd}\\ -\frac{n}{2},& \text{when }n\text{ is even}\end{array}$ is:
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2. Let $z_1$ and $z_2$ be two roots of the equation $z^2+az+b=0$, $z$ being complex. Further, assume that the origin, $z_1$ and $z_2$ form an equilateral triangle, then:
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3. If $z$ and $\omega$ are two non-zero complex numbers such that $|z\omega |=1$, and $\text{Arg}(z)-\text{Arg}(\omega )=\frac{\pi }{2}$, then $\bar{z}\omega$ is equal to:
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Test Instructions

• The test contains 75 questions and a total of 75 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.