Build a question paper in 60 seconds.

1. A
   $x=1$
2. B
   $x=\dfrac{1}{\sqrt{2}}$
3. C
   $x=\dfrac{1}{2}$
4. D
   $x=\dfrac{1}{\sqrt{3}}$

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1. A
   Only one
2. B
   Only two
3. C
   Four
4. D
   No solution

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1. A
   $\sqrt{2}$
2. B
   $2$
3. C
   $1$
4. D
   $\dfrac{1}{2}$

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1. A
   $1$
2. B
   $7$
3. C
   $8$
4. D
   $16$

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1. A
   $-\dfrac{1}{4}$
2. B
   $-\dfrac{3}{4}$
3. C
   $\dfrac{3\sin10°}{4}$
4. D
   $-\dfrac{3\cos10°}{4}$

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1. A
   $-\dfrac{\pi}{4}$
2. B
   $\dfrac{\pi}{4}$
3. C
   $\tan^{-1}\!\dfrac{a^2-b^2}{a^2+b^2}$
4. D
   $\tan^{-1}\!\dfrac{2ab}{a^2+b^2}$

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1. A
   $1-\cos\beta<0$
2. B
   $1-\cos\beta\leq0$
3. C
   $1-\cos\beta>0$
4. D
   $1-\cos\beta\geq0$

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1. A
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $\dfrac{76}{65}$

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

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1. A
   $\dfrac{13}{75}$
2. B
   $\dfrac{13}{85}$
3. C
   $\dfrac{17}{85}$
4. D
   $\dfrac{19}{85}$

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

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1. A
   A Only
2. B
   B Only
3. C
   Both A and B
4. D
   Neither A nor B

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1. A
   $19$
2. B
   $18$
3. C
   $17$
4. D
   $11$

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1. A
   $-2$
2. B
   $-1$
3. C
   $1$
4. D
   $2$

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1. A
   Zero
2. B
   One
3. C
   Two
4. D
   Infinitely many

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1. A
   $0$
2. B
   $1$
3. C
   $3$
4. D
   $71$

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1. A
   $(4,4,1)$
2. B
   $(2,4,1)$
3. C
   $(4,1,4)$
4. D
   $(3,4,7)$

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

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1. A
   $\dfrac{1}{101}$
2. B
   $\dfrac{29}{101}$
3. C
   $\dfrac{41}{101}$
4. D
   $\dfrac{92}{101}$

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1. A
   $3x+y=10xy$
2. B
   $x+3y=10xy$
3. C
   $3x+y=10$
4. D
   $x+3y=10$

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1. A
   $x\sin\theta-y\cos\theta-1=0$
2. B
   $x\sin\theta-y\cos\theta+1=0$
3. C
   $x\sin\theta-y\cos\theta=0$
4. D
   $x\cos\theta-y\sin\theta+1=0$

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1. A
   $\left(1+\frac{2}{\sqrt{5}},5+\frac{4}{\sqrt{5}}\right),\left(1-\frac{2}{\sqrt{5}},5-\frac{4}{\sqrt{5}}\right)$
2. B
   $\left(3+\frac{2}{\sqrt{5}},5+\frac{4}{\sqrt{5}}\right),\left(-1-\frac{2}{\sqrt{5}},5-\frac{4}{\sqrt{5}}\right)$
3. C
   $\left(1-\frac{2}{\sqrt{5}},5+\frac{4}{\sqrt{5}}\right),\left(1+\frac{2}{\sqrt{5}},5-\frac{4}{\sqrt{5}}\right)$
4. D
   $\left(3-\frac{2}{\sqrt{5}},5+\frac{4}{\sqrt{5}}\right),\left(-1+\frac{2}{\sqrt{5}},5-\frac{4}{\sqrt{5}}\right)$

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1. A
   $6.05$
2. B
   $6.15$
3. C
   $6.25$
4. D
   $6.35$

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1. A
   $\left(\dfrac{8}{3},\dfrac{11}{3}\right)$
2. B
   $\left(\dfrac{7}{3},\dfrac{7}{3}\right)$
3. C
   $\left(2,\dfrac{8}{3}\right)$
4. D
   $\left(\dfrac{8}{3},2\right)$

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

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