Find the value of given expression. 

[76 – {90 ÷ 5 ⨯ (24 – 36 ÷ 3) ÷ 3}] 

A cask contains 24 litre mixture of wine and water in the ratio 3 : 1. How much mixture must be drawn off and replaced with water so that the quantity of wine and water becomes equal ? 

The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is: 

A boat travel 240 km downstream in 3 hours and the time is taken by the boat to travel the same distance in upstream in 6 hours. Find the speed of stream (in kmph).

Δ ABC is a right angled triangle whose angle A is right angled. Which side needs to bisect to form two other right angled triangles?

Rahul purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

A seller marks his goods 30 % above their cost price but allows 15 % discount for cash payment. His percentage of profit when sold in cash is 

The ratio of the students of one school is 3: 5 with the students of the other school, if in the first school there were 50 students more and in the second there were 80 students less then the ratio would be 5: 6. Find the total number of students in both schools.