Quantitative Aptitude - Arithmetic Ability Questions

If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?

Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?

If a/b = c/d = e/f = 2/5, then what is (5a + 3c + 2e) : (5b + 3d + 2f)?

The population of a town is 200000. It increases annually at the rate of 10%. What will be the population after 2 years?

What is the LCM (least common multiple) of 57 and 93?

A person lent Rs 10000 to B for 3 years and Rs 6000 to C for 4 years on simple interest at same rate of interest and received Rs 5400 in all from both of
them as interest. What is the rate of interest (in %)?

The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 506, then what is the difference between the first and the third number?