Quantitative Aptitude - Arithmetic Ability Questions

Puneet lent out Rs 30000 in two parts, one at 5% and the other at 9% interest. The yearly average interest comes out to be 6%. What are the amounts (inRs) that are lent at 5% and 9% respectively?

The radius of a hemisphere is 21 cm, what is its volume? (Take π = 22/7)

ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is

The difference between the ages of two sisters is 4 years when father's age is 54. Father is elder by 2 years to mother . Younger sister's age is half of mother's age. Find the age of elder sister.

Alarms from 3 different clocks sound after every 2, 4 and 6 hours, respectively. If the clocks are startedat the same 6 time, how many times do the alarms ring together in 3 days?

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

From point P, at 6 : 30 pm, a train starts moving towards Q with the speed of 40 km/hr. Another train starts moving from point Q at 7:30 p.m. towards point P at the speed of 60 km/hr. Both of them meet at 11:30 p.m. at point R. What is the ratio of PR and QR?

When Vijay sells 12 pens, he gains the selling price of 2 pens. Calculate his % profit?