Quantitative Aptitude - Arithmetic Ability Questions

In ∆ ABC, the height CD intersects AB at D. The midpoints of AB and BC are P and Q respectively. If AD = 8 cm and CD = 6 cm, then the length of PQ is?

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

ΔPQR is right angled at Q. QS is the altitude. PQ is 4√29 cm and PS is 8 cm. Find length of SR?

What is the value of cot 11π/6?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

When [x + (1/x)] = 5, then what is the value of [x – (1/x)]?

Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

What is the value of cot210°?