Quantitative Aptitude - Arithmetic Ability Questions

If 31x + 31y = 403, then what is the average of x and y?

In ΔXYZ measure of angle Y is 90 deg. If cot X = 5/12, and XY = 2.5 cm, then what is the length (in cm) of side XZ?

The orthocentre of an obtuse­angled triangle lies

If 31% of an electricity bill is deducted, Rs 1794 is still to be paid. How much was the original bill amount?

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?

ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?

What is the value of √2 Sec 45 - Tan 30?

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?