Quantitative Aptitude - Arithmetic Ability Questions

The sum of the ages of father and a son presently is 70 years. After 10 years, the son's age is exactly half that of the father. What are their ages now?

The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;

M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?

The third proportional of two numbers 9 and 15 is

A Rs 1000 box of cookies is offered at 10% discount and a Rs 400 bar of chocolate at 8% discount. If we buy 2 boxes of cookies and 3 bars of chocolate, what is the effective discount we get (in %)?

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?