Quantitative Aptitude - Arithmetic Ability Questions

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

What is the slope of the line, perpendicular to the line 3x - 6y = 4?

If cot(A/2) = x, then the value of x is

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

A mother is five times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.

Deepinder lent Rs 8200 to Jairaj for 16 years and Rs 4900 to Karna for 15 years on simple interest at the same rate of interest and received Rs 19446.5 in all from both of them as interest. The rate of interest per annum is:

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area(in cm2) of the triangle?