DELHI POLICE MATHS QUIZ-56

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Question 1:

Sonu saves $15 \%$ of her income. If her income increases by $20 \%$ and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)

Question 2:

A field is in the form of a rectangle of length $18 \mathrm{~m}$ and width $15 \mathrm{~m}$ deep, in a corner of the field a pit is dug of area $7.5 \times 6$ and $0.8 \mathrm{~m}$ deep and the earth taken out is evenly spread over the remaining area of the field. The level of the field raised is:

Question 3:

If $x^2+\frac{1}{x^2}=18, x>0$, then find the value of $x^3+\frac{1}{x^3}$.

Question 4:

A man is running at $15 \mathrm{~km} / \mathrm{hr}$. What is time (in seconds) taken by man to cover one round of a circular garden of radius 525 metres?

Question 5:

$\mathrm{CP}$ of 10 lemons is equal to SP of 6 articles. While the discount on 6 lemons is equal to the profit earn on 3 lemons. Find the difference between \% of profit and discount?

Question 6:

If the annual rate of simple interest increases from to $11 \%$ to $17 \frac{1}{2} \%$ a person's yearly income increases by ₹ 1,071.20. The principal amount invested (in ₹) is:

Question 7:

A and B started a business investing amount of Rs. 92,500 and Rs. 1,12,500, respectively. If B’s share in the profit earned by them is Rs. 9,000. What is the profit (in Rs.) earned by A?

Question 8:

A and B can do a piece of work in 25 days. B alone can do $66\frac{ 2}{3}$% of the same work in 30 days. In how many days can A alone do 4/15 part of the same work?

Question 9:

The least number which is exactly divisible by $5,6,8,10$ and 12 is:

Question 10:

A circle is inscribed in a triangle $A B C$. It touches sides $A B, B C$ and $A C$ at points $R, P$ and $Q$, respectively. If $A Q=3.5 \mathrm{~cm}, P C=4.5 \mathrm{~cm}$ and $B R=7 \mathrm{~cm}$, then the perimeter (in $\mathrm{cm}$ ) of the triangle $A B C$ is:

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