DELHI POLICE MATHS QUIZ-43

Question 1:

A train covers some part of a distance of $560 \text{ km}$ at $40 \text{ km/h}$ and the rest at $160 \text{ km/h}$ in $9$ hours and $30$ minutes. What is the total distance (in km) covered by the train at $40 \text{ km/h}$?

320

240

360

300

Question 2:

The average of 51 numbers is 52. The average of the first 28 numbers is $50.5$ and the average of the last 24 numbers is $54.5$. If 28th number is dropped, then what will be the average of the remaining numbers?

$51.64$

$50.40$

$50.84$

$51.86$

Question 3:

The rate of interest on a sum for the first 3 years is $8 \%$ p.a., for the next 4 years it is $10 \%$ p.a., and for the period beyond 7 years it is $16 \%$ p.a. If a person gets ₹ 11,340 as simple interest after 10 years, how much money did he invest?

₹ 11,150

₹ 12,140

₹ 10,140

₹ 10,125

Question 4:

A woman takes 3 hours 20 minutes in walking to a temple and riding back. She would have gained 2 hours by riding both ways. Half of the time she would take to walk both ways is:

2 hours 40 minutes

2 hour 50 minutes

3 hours 20 minutes

3 hours 10 minutes

Question 5:

When $x$ is added to each of $6,12,18$ and 28, the numbers obtained in this sequence are in a proportion. What will be the value of $(5 x-8):(x+4)$?

$31: 9$

$7: 2$

$8: 3$

$13: 4$

Question 6:

$\text{F}$ and $\text{M}$ together can do a piece of work in 8 days. $\text{F}$ alone can do the same work in 12 days. In how many days can $\text{M}$ alone do the same work?

8

12

24

6

Question 7:

A hollow iron pipe is $14 \mathrm{~cm}$ long and its outer diameter is $6 \mathrm{~cm}$. If the thickness of the pipe is $1 \mathrm{~cm}$ and the weight of iron is $8 \mathrm{~g} / \mathrm{cm}^{3}$, then the weight of the pipe ( in $\mathrm{Kg}$) how much? Use $\left(\pi=\frac{22}{7}\right.$ )

1.76

2.54

1.68

1.92

Question 8:

The ratio of the number of boys and girls in a class is $9: 7$. The average weight of all the boys and girls is $54.25 \mathrm{~kg}$. If the average weight of the girls is $52 \mathrm{~kg}$, then what is the average weight (in $\mathrm{kg}$ ) of the boys?

$56.5$

$57.5$

57

56

Question 9:

When a number is divided by $2,3,4,5$ and 6, the remainder is 1 in each case. If this number lies between 500 and 600, then what will be the sum of the digits of the number?

9

11

10

13

Question 10:

A sum of ₹ X is divided between A, B and C such that the ratio of the shares of A and B is 3 : 5, and that of B and C is 4 :7. If the difference between the shares of A and C is ₹ 2,001, then the value of X is:

5481

5742

5655

5829