UP POLICE CONSTABLE QUANT QUIZ

Question 1:

The LCM of two prime numbers p and q is 2231 , where p > q. What is the value of p - q ?

67

70

74

81

Question 2:

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is :

9

12

1

7

Question 3:

On selling 37 apples for Rs. 624 , there is a gain equal to the cost price of 11 apples. The cost price of an apple (in rupees) is:

24

21

17

13

Question 4:

A cistern is normally filled in 4 hours but it takes 2 hours longer to fill it because of a leak in its bottom. If the cistern is full, in how many hours will the leak empty it?

12 hours

10 hours

14 hours

11.5 hours

Question 5:

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

1.0

0.0

$-1$

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

Question 6:

A man had a certain amount with him. He spends 20% of that to buy an article and 5% of the remaining on transport. Then he gifted Rs.120. If he is left with Rs.1400, the amount he spent on transport is:

Rs.76

Rs.61

Rs.95

Rs.80

Question 7:

In a wallet, there are notes of the denominations Rs. 10 and Rs. 50 . The total number of notes is $12 .$ The number of notes of Rs. 10 and Rs. 50 are in the ratio of $1: 2$. Total money in the wallet is:

440

280

360

110

Question 8:

A portion inside a rectangle of length 5 m and breadth 2 m is shaded in the form of a square of side 2 m. What is the ratio of the area of the shaded square to the unshaded portion of the rectangle?

3:2

2:3

5:2

2:5

Question 9:

$\mathrm{O}$ is the orthocenter of the triangle $\mathrm{ABC}$. If $\angle \mathrm{BOC}=120^{\circ}$, then $\angle \mathrm{BAC}$ is:

$150^{\circ}$

$60^{\circ}$

$135^{\circ}$

$90^{\circ}$

Question 10:

What is the value of $(101+102+103+$ $\ldots \ldots+150) ?$

12550

6275

5275

15825