Quantitative Aptitude - Arithmetic Ability Questions

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

Find the area (in sq.cm) of a semi-circle of radius 7 cm

Select the odd word/letters/number/number pair from the given alternatives.

Simplify : -21973 × -1253 ÷ 275123

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

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