DELHI POLICE HEAD CONSTABLE QUANT QUIZ

Attempt now to get your rank among 10 students!

Question 1:

Simplify the expression: $\{432 \times 12 \div 4+(48-17 \times 2) \div 7\}$

Question 2:

The present average age of $A, B$ and $C$ is 22 years. Three years ago, the average age of $B$ and $C$ was 18 years. Find A's age 9 years hence.

Question 3:

In what ratio should water be mixed with milk at ₹48 per liter so that the price of the mixture becomes ₹44 per liter at a profit of 10%?

Question 4:

If a traders charges Rs.28 more for certain article, his profit percent would increase from $12 \%$ to $16 \%$. Find cost price of the article.

Question 5:

Delhi and Haridwar stations are $243 \mathrm{~km}$ apart. Two trains started simultaneously, one from Delhi and the other from Haridwar towards each other at $55 \mathrm{~km} / \mathrm{hr}$ and $80 \mathrm{~km} / \mathrm{hr}$ respectively. How far from delhi does the two train meet ?(in $\mathrm{km}$ )

Question 6:

If $A: B=4: 5, C: B=9: 7$, then, $A+C: B+$ $\mathrm{C}: \mathrm{B}-\mathrm{A}=?$

Question 7:

Chanda gave a cow at $10\%$ profit to Arun who gave it to Chandan at $5\%$ loss, and Chandan sold to Mohan at $20\%$ profit. If Mohan bought it for Rs.12540, Chanda had bought it for how much?

Question 8:

Find the smallest number, which when divided by $8,12,20$ or 25 leaves a remainder 5 in each case?

Question 9:

Solve:

$ \frac{7 \frac{1}{2} \div 4 \frac{2}{7} \text { of } \frac{3}{5}+\left(4 \frac{5}{8}-3 \frac{2}{7}\right) \div \frac{15}{14}}{18 \div 6 \text { of } 4+4 \times 5 \div 3 \text { of } 25} $

Question 10:

If three positive numbers are in the ratio 2: 3: 5 and the sum of their squares is 1368, then what is the sum of these numbers?