# UP POLICE MATHS QUIZ-21

Attempt now to get your rank among 133 students!

## Question 1:

$22-[23-\{24-(27-\overline{25-30})\}]=?$

## Question 2:

The employee of a company increase by 10 $\%$ every year. If there are 6655 employees at present find the number of employees 3 years ago.

## Question 3:

A sum of Rs. 4,095 is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3. That of B and C is 2 : 5 and that of C and D is 2 : 3. What is the difference (in Rs.) between the shares of B and D?

## Question 4:

A parallelogram PQRS whose sides are of lengths $8 \mathrm{~cm}$ and $12 \mathrm{~cm}$, has a diagonal of length $10 \mathrm{~cm}$. The length of the second diagonal is approximately:

## Question 5:

Driving at the speed of $48 \mathrm{~km} / \mathrm{h}$, Barun reached the destination 2 minutes ahead of time. If he is driving at the speed of $42 \mathrm{~km} / \mathrm{h}$, are Barun will reach 1 minute late. For what distance does Barun have to drive?

## Question 6:

7 experts and 5 trainees can complete a job in 9 days while 4 experts and 15 trainees can complete it in 12 days. How many days will 5 experts and 6 trainees need to complete the job?

## Question 7:

Shivani invested a sum of ₹1600 for two years at compound interest and received an amount of ₹$1764$ on maturity. What is the rate of interest?

## Question 8:

If $a=\frac{\sqrt{5}+1}{\sqrt{5}-1}$ and $b=\frac{\sqrt{5}-1}{\sqrt{5}+1}$ the value of $\left(\frac{a^{2}+a b+b^{2}}{a^{2}-a b+b^{2}}\right)$ is

## Question 9:

A shopkeeper marks an article 24% above its cost price and allows a 15% discount on the marked price. If he earns a profit of Rs. 27 by selling the article, then the selling price of the article is:

## Question 10:

Average weight of 25 persons is increased by 1 $\mathrm{kg}$ when one man weighing $60 \mathrm{~kg}$ is replaced by a new person. Weight of new person is :