DELHI POLICE MATHS QUIZ-31

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Question 1:

In the given figure, $\mathrm{O}$ is the center of the circle then $x$ is equal to:

Question 2:

B borrows 10000 from A at 8%p.a. simple interest and lent it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays to A, the profit made by B in the transaction is:

Question 3:

A can do a piece of work in 40 days. He works at it for 10 days, and then B alone finishes the remaining work in 45 days. In how many days will A and B working together finish 75% of the same work?

Question 4:

Three friends A, B, C invested in a business in the ratio of $2: 3: 4$. After 6 months C withdraw half his capital. If the total profit earned for the year is ₹ 110000 then find the profit earned by C. (in ₹)

Question 5:

The expenditure on food is $35 \%$ of the income of a particular family. If the income is raised by $30 \%$, then how much percentage (to the nearest whole number) of food expenditure is less than the initial percentage to keep the food expenditure unchanged?

Question 6:

Two numbers are in the ratio of 6: 5. If their HCF is 3 , then what is the LCM of the two numbers?

Question 7:

The average of 25 numbers is $48.2$. If the average of the first 10 numbers is 47 and the average of the last 12 numbers is 49 , then find the average of 58,69 and the remaining numbers.

Question 8:

A person sells an article at $10 \%$ below its cost price. Had he sold it for Rs.332 more, he would have made a profit of $20 \%$. What is the original selling price (in Rs.) of the article?

Question 9:

A and B start moving towards each other from places $\mathbf{X}$ and $\mathbf{Y}$, respectively, at the same time. The speed of $\mathrm{A}$ is $20 \%$ more than that of B. After meeting on the way, $A$ and B take $2 \frac{1}{2}$ hours and $x$ hours, now to reach $Y$ and $X$, respectively. What is the value of $x$ ?

Question 10:

The volume of a cone is $144\pi \mathrm{} \mathrm{cm}^{3}$. If its height is twice the radius of its base, then the curved-surface area of the cone $\left(\mathrm{cm}^{2}\right.$) will be?