Quantitative Aptitude - Arithmetic Ability Questions

In ∆DEF measure of angle E is 90°. If secD = 25/7, and DE = 1.4cm, then what is the length (in cm) of side DF?

What is the fourth proportional to 24, 120 and 22?

The ratio of three numbers is 2 : 5 : 7. If their product is 1890, then what is the sum of the three numbers?

Average of the height of 251 students of a school is 48. If the average of the height of the boys is 51 and the average of the height of the girls is 29, then what will be the ratio of the total height of boys and the total height of girls respectively?

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

The largest 5 digit number exactly divisible by 95 is ______.

Hiten marks his pen at Rs 9800 and after allowing discount of 20%, he still earns 12% profit. What is the cost price (in Rs) of the pen?

The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5. What is the total quantity (in litres) of the alcohol in the new mixture?