In a mixture of 25 liters, the ratio of acid to water is 4 : 1. Another 3 liters of water is added to the mixture. The ratio of acid to water in the new mixture is: 

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

(31.99)^1/5 × (80.78)^1/4 × (5.15)² = ? × 2.29

The value of sin²22° + Sin²68°+ Cot² 30° is:

If x+ y=90°, then what is  the value of $$ {\sqrt{cosx.cosecy-cosx.siny}}$$?

The perimeter of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of two square, is 

The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

An office opens at 10 am and closes at 5 pm. The lunch break is of 30 minutes. What is the ratio of lunch break and total office hours?

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to