DELHI POLICE MATHS QUIZ

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Question 1:

The angle of elevation of ladder leaning against a house is $60^{\circ}$ is, $4.5$ meters from the house the length of the ladder is.

Question 2:

If one side of a rhombus and one of the two diagonals are $16 \mathrm{~cm}$, then what will be the area of the rhombus in $\mathrm{cm}^{2}$?

Question 3:

Alloy A contains metals tin and copper only in the ratio $2: 5$ and alloy $B$ contains these metals in the ratio $5: 3$. Alloy C is prepared by mixing A and $\mathrm{B}$ in the ratio $4: 3$ The percentage of tin in alloy $\mathrm{C}$ is:

Question 4:

By selling an article at $\frac{7}{12}$ of its selling price, a man loses $16 \%$. If he sells it at $90 \%$ of its original selling price, then what will be the profit percentage?

Question 5:

$\mathrm{P}$ and $\mathrm{Q}$ together can do a job in 16 days. $\mathrm{Q}$ and $\mathrm{R}$ can finish the same job in $26 \frac{2}{3}$ days. P started the work and worked for 8 days, Q and $\mathrm{R}$ continued for 16 days. Then, the difference of days in which $\mathrm{R}$ and $\mathrm{P}$ can complete the job is:

Question 6:

Traveling at a speed of $57 \mathrm{~km} / \mathrm{h}$, Chaman reached the destination 3 minutes early. Had he traveled at the speed of $48 \mathrm{~km} / \mathrm{h}$, he would have reached 1 minute late. What is the distance covered by Chaman?

Question 7:

The average of 30 numbers is 55 . The average of the first 15 numbers is 51 and the average of the last 12 numbers is 56 . What is the average of 68,74 and the remaining 3 numbers?

Question 8:

$18 \div \frac{1}{8}\left\{11+16-(10+7-\overline{6+8})\right\}=?$

Question 9:

An amount is deposited at 8% p.a. compound interest. If the first year interest is Rs. 72, find the interest amount for the 2nd year.

Question 10:

Three partners, $X, Y$ and $Z$. shared profits. If the total profit was Rs. 3,000 . X's share being Rs. 400 less than Z's and $Y$ 's share being Rs. 200 less than $Z$ 's, then find the profit sharing ratio of $X: Y: Z$.