Quantitative Aptitude - Arithmetic Ability Questions

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?

What is the value of (1/2) Sec 30° + √2 Tan 60°?

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

The income of P, Q and R are in the ratio of 5 : 4 : 3 respectively and their expenses are in the ratio of 6 : 5 : 4 respectively. If P saves Rs 4000 out of an income of Rs 10000, then what will be the saving (in Rs) of Q?

Find the 4th proportional to 9, 17 and 27.

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

What is the measure of an exterior angle of a regular polygon of 10 sides?

If cos 135° = x, then the value of x is