Quantitative Aptitude - Arithmetic Ability Questions

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

Slope of the side DA of the rectangle ABCD is 1/3. What is the slope of the side AB?

The line parallel to the BC of the triangle ABC divides the other two sides at the point D and E in such a way that AB=3AD. Calculate the ratio of DE and BC.

97 x 97 = ?

The value of k, for which the quadratic equation 4x2 + 4√3x + k = 0 has equal roots is

45 - [38 - {60 / 3 - (6 - 9 / 3)/ 3}]= ?

Which of the following is a Pythagorean triplet?

The diagonals of 2 squares M and N are in the ratio 2:1. The ratio of their areas is