DELHI POLICE QUANT QUIZ

12 persons can dig a trench $20 \mathrm{~m}$ in length in 8 days. The number of persons required to dig a $30 \mathrm{~m}$ trench of the same width and depth in 6 days, is:

Out of two numbers, the first number is three-fourth of the second number. If the average of the reciprocals of both the numbers is $\frac{7}{48}$, then what is the first number?

What is the smallest number by which if 675 is multiplied, the product becomes a perfect cube?

Which of the following fractions will be the fourth if the fractions $\frac{4}{5}, \frac{6}{7}, \frac{9}{11}$, and $\frac{3}{8}$ are ordered in descending order of their values?

A farmer divides the herd of n cows among his four sons in such a way that the first son gets half the herd, the second son gets one-fourth, the third son gets gets 1/5 share and the fourth son gets 7 cows. What is the value of n accordingly?

A sum was put at simple interest at a certain rate for 2 years. If it had been put at 4% higher rate, it would have fetched ₹ 480 more. Find the sum.

If a sum of ₹ 6225 is divided into three parts such that 4 times the first part is equal to 5 times the second part and 7 times the third part. The difference between the first and second part (in ₹) is:

Excluding stoppages, the speed of a bus is 60 km/h and including stoppages, it is 42 km/h. For how many minutes does the bus stop per hour?

The ratio of the speed of two trains is 3 : 8. If the first train travels 300 km in 5 hours, then what is the sum of the speeds (in km/h) of both the trains?

When a number is divided by 156 it gives remainder 29 . If the same number is divided by 13 find the remainder.