UP POLICE MATHS QUIZ-18

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Question 1:

If the number $579683 p q$ is divisible by both 5 and 8 , then the smallest possible values of $p$ and $q$ will be:

Question 2:

The value of $1 \frac{19}{21}-\left[1 \frac{10}{21}+\frac{1}{2}\right.$ of $\frac{1}{3} \div \frac{7}{12}-\left(\frac{2}{7}\right.$ of $\left.\left.\frac{1}{5}\right)\right]$

Question 3:

Neha, Diya and Shivani contested an election $80 \%$ of the total votes polled were declared valid. Divya got $45 \%$ of the valid votes while Shivani got $24 \%$ of the total votes polled. If the difference in number of votes got by Shivani and Neha is 672 , then find the total number of valid votes polled.

Question 4:

A man brought an article and sold it at a gain of $10 \%$. If he had bought the article at $20 \%$ less and sold it for Rs. 1000 more, he would have made a profit of $40 \%$. The earlier selling price of the article (in Rs) is:

Question 5:

An alloy contains $40\%$ silver, $30\%$ copper and $30\%$ nickel. How much silver (in kg) should be mixed in the 25 kg alloy so that silver in the new alloy  becomes $50 \%$  ?

Question 6:

The measures of the outer dimensions of a closed metal box are given as 15 cm×18 cm×8 cm. The thickness of the metal is 1.5 cm. What will be the volume of the metal required to make the box?

Question 7:

In a race of 1000 meters, A beats B by 50 meters and in a race of 500 meters, B beats C by 10 meters. In a race of 400 meters, A will beat C by how many meters?

Question 8:

A and B can do a piece of work in 60 days and 90 days respectively. With the help of $C$, he completed the work in 20 days. If his total earning is Rs. 36,000 , then given that his earning is in proportion to his work. What will be the share of C?

Question 9:

What is the compound interest on Rs. 5000 in 3 years, if the rate of interest is $4 \%$ for the first year, $3 \%$ for the second year and $2 \%$ for the third year?

Question 10:

Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother (in years) is :