# UP POLICE MATHS QUIZ-25

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## Question 1:

A right circular solid cone of radius $3.2 \mathrm{~cm}$ and height $7.2 \mathrm{~cm}$ is melted by recast into a right circular cylinder of height $9.6 \mathrm{~cm}$. What is the diameter of the base of the cylinder?

## Question 2:

$59 \%$ of $350-x \%$ of $20=4 \%$ of 5075 , then find  the value of x .

## Question 3:

Prakash can row a distance of 1250 meters in still water by boat in 10 minutes. He takes twice the time to row the boat against the stream than in the downstream. Find the speed of the stream.

## Question 4:

The amount of Rs.5183 is divided among Amit, Sumit and Jagat in such a way that if Rs.27, Rs.38 and Rs. 18 be deducted from their respective shares, they have money in the ratio $3: 6: 8 .$ Find Amit's share. (in Rs.)

## Question 5:

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 6:

There are two inlet pipes $\mathrm{A}$ and $\mathrm{B}$ can fill a tank in 20 minutes and 30 minutes respectively. Outlet pipe C can empty the whole tank in 15 minutes. What time will they take (in minutes) to fill the whole tank, if they start together?

## Question 7:

The difference between simple and compound interests compounded anually on a certain sum for 2 years at $25 \%$ per annum is Rs.500. The sum is:

## Question 8:

Suraj spends $70 \%$ of his income. If his income increases by $22 \%$ and his expenditure increases by $25 \%$ then what is the percentage increases in his saving ?

## Question 9:

Two numbers are in the ratio $3: 7$. If their difference is 60, then what is the smallest number?

## Question 10:

$150 \mathrm{gm}$ of sugar solution has $20 \%$ sugar in it. How much sugar should be added to make it $25 \%$ in the solution?