DELHI POLICE MATHS QUIZ-62

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Question 1:

A sum of ₹ 8,000 amounts to ₹ 13,824 in 3 years at $R \%$ p.a., interest compounded annually. What will it amount to in $1 \frac{1}{4}$ years at the same rate, if the interest is compounded half-yearly?

Question 2:

In a two digit number the units digit is 4 more than the tens digit, and the product of the sum of the number and its digits is 826. Between which of the following two numbers will that number lie?

Question 3:

The income of $\mathrm{A}$ is $60 \%$ more than the income of $\mathrm{B}$, and the income of $\mathrm{C}$ is $45 \%$ less than the total income of $\mathrm{A}$ and $\mathrm{B}$. By what percentage is C's income less than that of A's?

Question 4:

The value of $1 \frac{1}{6} \div \frac{2}{3}$ of $\frac{7}{8}-\frac{7}{8} \div \frac{5}{6} \times \frac{5}{24}-(0.6 \overline{5} \div \overline{59}) \times 1 \frac{1}{11}$ is:

Question 5:

A train takes 30 seconds to pass through a platform 320 meter long and 25 second to pass another platform 230 meter long. What is the length (in meters.) of the train?

Question 6:

By selling an article at $\frac{8}{11}$ of its selling price, Madhu incurs a loss of $10 \%$. If he sells the article at $85 \%$ of its actual selling price, then what is the profit percentage (correct to one decimal place)?

Question 7:

The diagonal of a square is$4 \sqrt{2} \mathrm{~cm}$. The diagonal of another square whose area is double that of the first square is :

Question 8:

A train covers 400 km at a uniform speed. If the speed had been 10 km/h more , it would have taken 2 hours less for the same journey. What is the speed of the train (in km/h )?

Question 9:

A certain sum amounts to ₹ 5,808 after 2 years and to ₹ 7,320 after 5 years at the same rate per cent per annum at simple interest. What will be the simple interest on a sum of ₹ 8,500 for $4 \frac{2}{3}$ years at the same rate?

Question 10:

A train A moving with a speed of $60 \mathrm{~km} / \mathrm{h}$, another train B coming from the opposite direction with a speed of $48 \mathrm{~km} / \mathrm{h}$ Completely crosses in 20 seconds. The length of train $B$ is $1.5$ times the length of train $A$. Train $B$ crosses a tunnel in 57 seconds. What is the length of the tunnel (in $\mathrm{m}$)?