Quantitative Aptitude - Arithmetic Ability Questions

If a + b = 4 and ab = 3, then what is the value of a3 + b3?

In 250 litres mixture of soda and water the ratio of amount of soda to that of water is 7 : 18. In order to make this ratio 2 : 3, how many more litres of soda should be added?

A farmer's land is in the shape of a trapezium which has its parallel sides measuring 2.56 yards and 3.44 yards and the distance between the parallelsides in 1.44 yards. The cost of ploughing the land is Rs 1800 per square yard. What amount will (in Rs) have to be spent in order to plough the entire land?

The average of 100 items was found to be 30 . If at the time of calculation , two items were wrongly taken as 32 and 12 instead of 23 and 11 , then the correct average is

If 5(4­-x) - ­4 < 3x - ­2 > 4x - 6; then the value of x is

If R = 97 and S = 155.2, then S is how much percentage more than R?

A bag has Rs 20 in the form of 1­-rupee, 50­-paise and 10­-paise coins in the ratio of 2:3:5. Find the number of 50­-paise coins.

What is the value of (32 cos6x – 48 cos4x + 18 cos2x – 1)/[4 sin x cos x sin (60 – x) cos (60 – x) sin (60 + x) cos (60 + x)]?