DELHI POLICE MATHS QUIZ

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Question 1:

The height and slant height of a right circular cone are $3 \sqrt{23} \mathrm{~cm}$ and $16 \mathrm{~cm}$ respectively. Assuming to be approximately $\frac{22}{7}$, find the area of the curved surface of the cone.

Question 2:

The average of marks of 14 student was calculated as 71 . But it was later found that the marks of one students had been wrongly entered as 42 instead of 56 and of another as 74 instead of 32 . The correct average is:

Question 3:

In an election, $24 \%$ voted for person $P$, whereas $42 \%$ voted for person Q. The remaining people do not vote to any person. If the difference between those who vote for person $P$ in the election and those who do not vote to any candidate was 5700 , then find how many people participate in village election?

Question 4:

A works four times faster than B, so he can complete a piece of work 60 days earlier than B. In how many days can they complete the work if they work together?

Question 5:

Two train starts at the same time from Delhi and Kolkata and proceed towards each other. When they meet it is found that one train has traveled 142 km more than the other train. What is the distance between Delhi and Kolkata, if the speed of 1st train is 90 km/h and that of 2nd train is 75 km/h?

Question 6:

The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403 . If one of the numbers is 93 , then the other number is.

Question 7:

A mixture of liquids A and B contains 70% of B . Another liquid C is added till the final solution contains 12% of A. What is the ratio of B to C in the final mixture?

Question 8:

Out of total capital A required to start a business invested by $40 \%$ , B invested $\frac{2}{3}$ rd of the remaining capital and C invested the remaining capital. At the end of one year sum of Rs. 8000 is earned as a profit which $20 \%$ of the capital given by B, then find how much $C$ invested in the business -

Question 9:

Sumit earned ₹ 10,692 as simple interest on ₹ 29,700 at a certain rate of interest for 3 years. His friend Anil invested ₹ 12,500 for 2 years at the same rate of interest but on compound interest compounded annually. How much did Anil earn as interest?

Question 10:

The profit percent earned by selling an article at Rs. 1600 is 2 times of the loss percent earned by selling that article at Rs1200. What is the cost price of the article.?