UP POLICE CONSTABLE QUANT QUIZ

Question 1:

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of radius and height of its conical part is:

$1: 3$

$1: 1$

$\sqrt{3}: 1$

$1: \sqrt{3}$

Question 2:

Find the greatest four digit number which when divided by 24,36 and 45 give 9 remainder in each case.

9720

9729

9360

9351

Question 3:

The value of $\cos ^{2} 73^{\circ}-\sin ^{2} 17^{\circ}$ is:

1.0

0.0

$-1$

$\frac{1}{\sqrt{2}}$

Question 4:

In a stock clearance sale, a shopkeeper gives $40 \%$ off on all his items. He incurs a loss of $25 \%$ by selling an item of marked price Rs.2,000. Which one of the following is the cost price of this item?

Rs.1,800

Rs. 1,200

Rs. 1,600

Rs. 1,400

Question 5:

In covering a certain distance, the speed of $\mathrm{A}$ and $\mathrm{B}$ are in the ratio of $3: 4 .$ A takes 30 minutes more than $\mathrm{B}$ to reach the destination. The time taken by $A$ to reach the destination is:

1 hour

$1 \frac{1}{2}$ hours

2 hours

$2 \frac{1}{2}$ hours

Question 6:

4 men and 6 boys can complete a piece of work in 12 days while 3 men and 7 boys can complete the same piece of work in 13 days. Find in how many days 2 men and a boy can complete the work.

$33 \frac{9}{47}$

$30 \frac{8}{47}$

$55 \frac{3}{4}$

$50 \frac{3}{4}$

Question 7:

Amit is a painter by profession, in one of his paintings he uses two colours namely, red and green in the ratio $5: 4$. If in upper half of the painting red and green colours are used in $3: 7$ ratio, then in lower half red and green are used in which ratio ?

$37: 19$

$73: 17$

$63: 16$

$37: 8$

Question 8:

Simplify the expression: $\{432 \times 12 \div 4+(48-17 \times 2) \div 7\}$

11

1298

20

1325

Question 9:

If median and mode of the distribution is 10 each then mean of the distribution is

20.0

10.0

40.0

30.0

Question 10:

What is the rate of interest if simple interest earned on a certain sum for the $3^{\text {rd }}$ year is 1840 and compound Interest earned for 2 years is Rs 3956 ?

10 %

7.5 %

15 %

18 %