# UP POLICE MATHS QUIZ-15

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## Question 1:

If the ratio of alcohol and water in a mixture of 85 litres is 11 ∶ 6. How much water should be added to make the ratio 5 ∶ 3?

## Question 2:

Two candidates are contesting in an election. All votes are valid votes. A candidate who gets 38% of votes is rejected by 28,800 votes. The total number of votes polled is:

## Question 3:

Tarun earns a profit of $12.5 \%$ on selling an article at a certain price. If he sells the articles for Rs. $31.25$ more, he will gain $18.75 \%$. What is the original cost price of $19$ such articles?

## Question 4:

Excluding stoppages, a bus covers $45 \mathrm{~km}$ in an hour and including stoppages, it covers $36 \mathrm{~km}$. For how many minutes does the bus stop in an hour?

## Question 5:

A solid piece of iron in the form of a cuboid of dimensions 24.5 cm × 16.5 cm × 12 cm, is melted to form a solid sphere.

What is the radius (in cm) of the sphere? (Use π = $\frac{22}{7}$)

## Question 6:

The incomes of $A$ and $B$ are in the ratio $6: 11$. The ratio of their expenditure is $1: 2$. If $A$ and $B$ save $R$ s. 9,000 and Rs. 11,500 , respectively, then the expenditure of $B$ is:

## Question 7:

The compound interest on a sum of ₹$18400$ at $10 \%$ p.a. for a certain period of a time is ₹ $3864$. What is the simple interest on the same sum at the same rate for double the time?

## Question 8:

Ram can do a work in 10 days. Sita can do the same work in 5 days and Ravan can destroy the same work in 20 days. They started working together. In how many days the work will be completed?

## Question 9:

$\frac{3}{4}+\left\{\frac{3}{4}+\frac{3}{4} \div\left(\frac{3}{4}+\frac{3}{4}\right)\right\}=?$

## Question 10:

The average age of 9 students and their teacher is 16 years. The average age of the first four stu-dents is 19 years and that of the last five is 10 years. The teacher's age is