UP POLICE CONSTABLE QUANT QUIZ

Question 1:

What value will come in place of the question mark (?) in the following question?

$1, ?, 3,15,105,945$

2

$1.5$

$0.5$

1

Question 2:

A milkman has 75 litres milk in one can and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number of times is:

1 liter

5 liters

15 liters

25 liters

Question 3:

A sphere of maximum volume is cut out from a solid hemisphere. What is the ratio of the volume of the sphere to that of the remaining solid?

$1: 4$

$1: 3$

$1: 2$

$1: 1$

Question 4:

What is the product of the roots of the equation $x^{2}-\sqrt{3}=0 ?$

$+\sqrt{3}$

$\sqrt{3} i$

$-\sqrt{3} i$

$-\sqrt{3}$

Question 5:

Direction: What should come in Place of Question Mark (?) in the following question?

$\sqrt[2]{256} \times(4096)^{\frac{1}{3}}=2^{x} \times 2$

7

6

9

10

Question 6:

The mode and mean of a set is 16 and 35 respectively, find their median.

9

54

28.6

60

Question 7:

$1+\frac{2}{1+\frac{3}{2+\frac{4}{1+\frac{5}{6}}}}$

$\frac{79}{171}$

$\frac{171}{79}$

$\frac{169}{79}$

$\frac{79}{169}$

Question 8:

A car can cover a distance of $522 \mathrm{~km}$ on 36 liters of petrol. How far can it travel on 14 liters of petrol?

$203 \mathrm{Km}$

$205 \mathrm{Km}$

$204 \mathrm{Km}$

$206 \mathrm{Km}$

Question 9:

What should be the value of $\tan \theta$ ?

0

1

2

Infinite

Question 10:

Direction : In each of these question, two equations are given. Solve both the equations and answer the following question:

(i) $4 x^{2}+4 x-8=0$

(ii) $\mathrm{y}^{2}+11 \mathrm{y}+18=0$

If $x>y$

If $x \geq y$

If $x < y$

If $x \leq y$