Build a question paper in 60 seconds.

1. A
   $1, 0$
2. B
   $1, 1$
3. C
   $2, 0$
4. D
   $2, 1$

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1. A
   Both the roots are real
2. B
   One root is real and the other is complex
3. C
   Both the roots are complex
4. D
   Cannot say

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1. A
   0
2. B
   4
3. C
   6
4. D
   10

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1. A
   2
2. B
   3
3. C
   4
4. D
   zero

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1. A
   $\dfrac{c-1}{b}$
2. B
   $\dfrac{1-c}{b}$
3. C
   $\dfrac{b}{c-1}$
4. D
   $\dfrac{b}{1-c}$

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1. A
   AP
2. B
   GP
3. C
   HP
4. D
   None of the above

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1. A
   AP
2. B
   GP
3. C
   HP
4. D
   None of the above

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1. A
   254
2. B
   255
3. C
   256
4. D
   257

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1. A
   5200
2. B
   4320
3. C
   3000
4. D
   2160

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1. A
   5
2. B
   7
3. C
   8
4. D
   15

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1. A
   2475
2. B
   2530
3. C
   4905
4. D
   5049

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1. A
   $2^n - n - 1$
2. B
   $1 - 2^{-n}$
3. C
   $2^{-n}+n-1$
4. D
   $2^n-1$

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1. A
   1, 2 and 3
2. B
   2, 3 and 4
3. C
   1, 3 and 4
4. D
   1, 2 and 4

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1. A
   0, 1, 0
2. B
   1, 1, 0
3. C
   0, 0, 1
4. D
   1, 0, 1

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1. A
   $\{-1\}$
2. B
   $\{0\}$
3. C
   $\{1\}$
4. D
   an empty set

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1. A
   $\dfrac{n-5}{6}$
2. B
   $\dfrac{n-4}{5}$
3. C
   $\dfrac{5}{n-4}$
4. D
   $\dfrac{6}{n-5}$

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1. A
   $\pm 1$
2. B
   $\pm 2$
3. C
   $\pm 3$
4. D
   $\pm 5$

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1. A
   $\det(B)$
2. B
   $\det(A)$
3. C
   $\det(B^{-1})$
4. D
   $\det(A^{-1})$

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1. A
   $a$
2. B
   $b$
3. C
   $c$
4. D
   $0$

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1. A
   Null matrix
2. B
   Identity matrix
3. C
   $A$
4. D
   $-A$

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1. A
   have the unique solution
2. B
   have infinitely many solutions
3. C
   are inconsistent
4. D
   None of the above

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1. A
   $\begin{pmatrix}4&8\\-4&-16\end{pmatrix}$
2. B
   $\begin{pmatrix}4&-4\\8&-16\end{pmatrix}$
3. C
   $\begin{pmatrix}-4&-8\\4&12\end{pmatrix}$
4. D
   $\begin{pmatrix}-4&-8\\8&12\end{pmatrix}$

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1. A
   $1+x+y+z$
2. B
   $2xyz$
3. C
   $x^2y^2z^2$
4. D
   $2x^2y^2z^2$

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1. A
   $\dfrac{x}{y}$ is one of the cube roots of unity
2. B
   $x$ is one of the cube roots of unity
3. C
   $y$ is one of the cube roots of unity
4. D
   $\dfrac{x}{y}$ is one of the cube roots of $-1$

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1. A
   $C$ is empty
2. B
   $B$ has as many elements as $C$
3. C
   $A = B \cup C$
4. D
   $B$ has thrice as many elements as $C$

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