DELHI POLICE QUANT QUIZ-7

The difference between two integers is 1208. When the larger number is divided by the smaller number, the quotient is 4 and the remainder is 182. Which is the larger number?

A train covers some part of a distance of $560 \text{ km}$ at $40 \text{ km/h}$ and the rest at $160 \text{ km/h}$ in $9$ hours and $30$ minutes. What is the total distance (in km) covered by the train at $40 \text{ km/h}$?

A sum lent at compound interest amounts to $72.8 \%$ more than itself in 3 years, interest compounded annually at a certain rate per cent per annum. What will be the compound interest on a sum of ₹$ 9,000$ for $1 \frac{1}{2}$ years at the same rate, if the interest is compounded six-monthly?

The average of 51 numbers is 52. The average of the first 28 numbers is $50.5$ and the average of the last 24 numbers is $54.5$. If 28th number is dropped, then what will be the average of the remaining numbers?

A can do $33 \frac{1}{3} \%$ of a work in 10 days and B can do $66 \frac{2}{3} \%$ of the same work in 8 days. Both worked together for 8 days. C alone completed the remaining work in 3 days. $A$ and $C$ together will complete $\frac{5}{6}$ part of the original work in how many days:

The perimeter of a circular field is $1012 \mathrm{~m}$. The area of this field is equal to a rectangular garden whose sides are in the ratio $14: 11$. The longer side of the garden is: (Take $\left.\pi=\frac{22}{7}\right)$

Pipes A and B can fill a tank in 10 hours and $13\frac{1}{3}$ hours, respectively. Pipe C is an emptying pipe. When all three pipes are opened together, the tank is filled in 8 hours. Pipe C alone can empty 60% part of the tank in:

A sum of ₹ 7,560 is divided between A, B and C such that if their shares are diminished by ₹ 400, ₹ 300 and ₹ 260, respectively, then their shares are in the ratio $4: 2: 5$. What is the original share of $\mathrm{B}$ ?

By selling an article for $\frac{9}{16}$ of its selling price, the trader incurs a loss of $25\%$. If that article is sold for $15\%$ less than its original selling price, what will be the profit percentage?

What will be the value of $\frac{5}{7} \div 5 \frac{1}{3}$ of $\frac{5}{14}-\frac{5}{14} \times 6 \frac{3}{10}+\left(0 . \overline{57} \div 0.6 \overline{3} \times 5 \frac{1}{2}\right) \times \frac{7}{15}$ ?