UP POLICE CONSTABLE QUANT QUIZ

Question 1:

The taxi charges in a city contain fixed charges and additional charge/km. The fixed charge is for a distance of upto $5 \mathrm{~km}$ and additional charge/km thereafter. The charge for a distance of $10 \mathrm{~km}$ is Rs. 350 and for 25 $\mathrm{km}$ is Rs. $800 .$ The charge for a distance of $30 \mathrm{~km}$ is

Rs. 800

Rs. 750

Rs. 900

Rs. 950

Question 2:

In a triangle $\mathrm{ABC}, \mathrm{AC}=20 \mathrm{~cm}, \mathrm{BC}=10 \mathrm{~cm}$ and $\angle B=60^{\circ}$, then find the value of $\angle A$.

$\sin ^{-1}\left(\frac{\sqrt{3}}{8}\right)$

$\sin ^{-1}\left(\frac{\sqrt{5}}{6}\right)$

$\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$

None of these.

Question 3:

If the ratio of boys and girls in a class is $7: 5$.Which of the following cannot be the total number of students in the class?

36

50

60

120

Question 4:

H.C.F. of $\frac{2}{3}, \frac{4}{5}$ and $\frac{6}{7}$ is:

$\frac{40}{105}$

$\frac{2}{105}$

$\frac{1}{105}$

$\frac{24}{105}$

Question 5:

The average age of 17 students of a class is 25 years when a new student join the class the average age of the class become 31 years then find the age of new student .

108 years

133 years

140 years

116 years

Question 6:

The capacity of a closed cylindrical vessel of height $1 \mathrm{~m}$ is $15.4$ litres. How many square metres of metal sheet would be needed to make it ?

$0.4306 \mathrm{~m}^{2}$

$0.4708 \mathrm{~m}^{2}$

$0.3268 \mathrm{~m}^{2}$

$0.4296 \mathrm{~m}^{2}$

Question 7:

The difference of simple interest on a sum of money for 6 years and 8 years is Rs.400. If the rate of interest is 10% p.a, then what is the sum of money (in Rs)?

1500

2000

1800

1600

Question 8:

The Median and Mode of a set are 25 and 15 respectively, find their mode.

20

30

45

60

Question 9:

What will be the net discount (in percentage) after giving three successive discounts of $10 \%, 20 \%$ and $30 \%$ ?

$45.3$

$50.4$

$49.6$

$48.4$

Question 10:

In a library 40% books are in English. Out of the remaining 40% books are in Hindi and the remaining books are in Oriya. If 4800 books are in Hindi, then what is the total number of books in library ?

12000

24000

28000

20000