DELHI POLICE MATHS QUIZ-58

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Question 1:

$\triangle \mathrm{ABC}$ is right-angled at $\mathrm{B}$ and $\mathrm{D}$ is a point on $\mathrm{AC}$ such that $\mathrm{BD}$ is perpendicular to $\mathrm{AC}$. If $\mathrm{BD}=6 \mathrm{~cm}$ and $\mathrm{AD}=3 \mathrm{~cm}$, then what will be the length of $\mathrm{AC}$ ?

Question 2:

A father’s age at the time of the birth of his son is the same as the present age of the son. If the age of the son was 15 years five years ago, then what is the current age of the father?

Question 3:

With an average speed of $42 \mathrm{~km} / \mathrm{h}$, a train reaches its destination in time. If it moves with an average speed of $14 \mathrm{~km} / \mathrm{h}$, it is late by 35 minutes. The length of the journey is:

Question 4:

The price of a tablet is first increased by 10%, and then decreased by 2.5% due to reduction in sales. What is the net percentage change in the final price of the tablet?

Question 5:

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 6:

A person rows upstream a distance of $55 \mathrm{~km}$ in 5 hours and rows downstream a distance of $75 \mathrm{~km}$ in 3 hours. How much time will he take to row a distance of $96 \mathrm{~km}$ in still water?

Question 7:

The simple interest on a certain sum for $3 \frac{1}{2}$ years at the rate of $10 \%$ per annum is Rs.2,940. What will be the compound interest in Rs.) on the same sum for $1 \frac{1}{2}$ years at the same rate when interest is compounded half-yearly (nearest to a rupee)?

Question 8:

A can do a piece of work in 15 days, but with the help of $B$, he can do it in 9 days. In what time can B do it alone?

Question 9:

What is the value of $\sin ^{2} 60+\tan ^{2} 45+\sec ^{2} 45-\operatorname{cosec}^{2} 30 ?$

Question 10:

How many 25 cm × 11.25 cm × 6 cm bricks will be required to construct an 8 m × 6 m ×22.5 cm wall?(ignoring other material used)