DELHI POLICE CONSTABLE MATH QUIZ-1

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Question 1:

The ratio of boys and girls in a group is 7 : 6 . If 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls becomes $4: 3$. What is the total number of boys and girls initially in the group ?

Question 2:

Two numbers are in the ratio $3: 4$. If 8 is added to each number, the ratio changes to $5: 6$. What is the sum of both the numbers?

Question 3:

If there is a $10 \%$ loss on selling an article for Rs. 630, then what will be the $\%$ profit/loss if it is sold for Rs. 910 ?

Question 4:

The radius of a sphere is $9 \mathrm{~cm} .$ It is melted and drawn into a wire of radius $0.3 \mathrm{~cm}$. The length of the wire is:

Question 5:

A person covers half of his journey by car at $80 \mathrm{~km} / \mathrm{h}$. He covers half of the remaining at $40 \mathrm{~km} / \mathrm{h}$ and rest at $10 \mathrm{~km} / \mathrm{h}$. Find the average speed during the whole journey.

Question 6:

A, B and $\mathrm{C}$ can complete a piece of work in 729,486 and 1458 days respectively. Working together, they will complete the same work in how many days?

Question 7:

Simplify the following expression.

$1800 \div 10 \times[45 \div(17-2)] \text { of } 2+[-2(1+2)]$

Question 8:

If price of an article increases by $12 \%$, a person has to pay Rs. 18 more for a $\mathrm{kg}$. Find increased price of an article?

Question 9:

Find the HCF of $\frac{3}{4}, \frac{6}{7}, \frac{9}{14}$ and $\frac{12}{25}$.

Question 10:

The average marks of 100 students were found to be 40 . Later on it was discovered that a score of 53 was misread as 83. Find the correct average corresponding to the correct score.