UP POLICE MATHS QUIZ-41

Attempt now to get your rank among 479 students!

Question 1:

If the simple interest for 9 years be equal to $45 \%$ of the principal, then the rate interest per annum is equal to:

Question 2:

Simplify the following expression.

$\left(3 \frac{2}{3} \text { of } \frac{3}{4}-\frac{1}{4} \text { of } \frac{4}{3}\right) \div\left(\frac{1}{4} \div \frac{3}{2}\right)+1 \frac{1}{2}$

Question 3:

A's salary increases in the ratio $8: 11$. If his new salary is Rs. 33,000 , then what was his original salary (in Rs.)?

Question 4:

The average weight of some students in a group is $58 \mathrm{~kg}$. If 8 students of average weight $54 \mathrm{~kg}$ leave the group and 3 students weighing $53.6 \mathrm{~kg}, 54 \mathrm{~kg}$ and $57.4 \mathrm{~kg}$ join the group, then the average weight of the remaining students in the group will increase by $575 \mathrm{~g}$. The number of students initially, in the group is:

Question 5:

There are two tanks P and Q to fill up a water tank. The tank can be filled in 30 minutes , if both taps are on. The same tank can be filled in 50 minutes , if only tap P is on. How much time will tap Q alone , take to fill up the same tank?

Question 6:

The base of a $12 \mathrm{~m}$-high wooden solid cone has a circumference of $44 \mathrm{~m}$. Find its volume.

$\left(\text { use } \pi= \frac{22}{7}\right)$

Question 7:

With an average speed of $42 \mathrm{~km} / \mathrm{h}$, a train reaches its destination in time. If it moves with an average speed of $14 \mathrm{~km} / \mathrm{h}$, it is late by 35 minutes. The length of the journey is:

Question 8:

The price of a tablet is first increased by 10%, and then decreased by 2.5% due to reduction in sales. What is the net percentage change in the final price of the tablet?

Question 9:

A can do a piece of work in 15 days, but with the help of $B$, he can do it in 9 days. In what time can B do it alone?

Question 10:

Find the area of the sector of a circle of radius $7 \mathrm{~cm}$ with a central angle of $90^{\circ}$.