Quantitative Aptitude - Arithmetic Ability Questions

The length of one side and the diagonal of a rectangle are 5 cm and 13 cm respectively. Find its area (in cm2).

The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

A man starts walking from a place X and reaches the place Y in 12 hours. He travels 3/7th of the total distance at the speed of 3 km/hr and the remaining distance at the speed of 4 km/hr. What is the distance (in km) between X and Y?

A sum of Rs 4000 becomes Rs 7000 in 6 years at simple interest. If the rate of interest becomes double of itself, then what will be the amount (in Rs) after 6 years?