Quantitative Aptitude - Arithmetic Ability Questions

What is the value of a2 + b2a3 - b3, when a + b = 8 and a - b = 2?

The ratio of marks obtained by a student was 1:2:3. The school decided to allow grace marks of 5% for each subject. Find the student's new ratio.

Two persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30 and 60 deg respectively. The distance between the persons is

A bank offers 15% compound interest per half year. A customer deposits Rs 7200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by means of interest is

If three successive discounts of 20%, 30% and 40% are given, then what will be the net discount (in percentage)?

A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of theconical heap is 24 cm, what is the radius of its base?

The surface area of a sphere is 5544 cm2. Find its diameter (in cm).

Possible length of the three sides of a triangle are :­