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 simplified value of (cotA + tan B)/(cot B + tan A)?

The cube of 105 is

Find the area (in cm2) of a semi-circle of radius 28 cm.

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

If a+bab=21 ,  then the value of (a-b) is

If θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

The bus fare between two cities is increased in the ratio 25:29. Find the increase in the fare, if the original fare is Rs. 625