Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?

In the following question, select the odd letter/letters from the given alternatives.

In a triangle the length of the side opposite the angle which measures 30° is 9 cm, what is the length of the side opposite to the angle which measures 60°?

What will be the value of a3+b3, if a2+b2=32 and a+b=8 ?

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?

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?

What is the difference of the factors of the expression x2 + (1/x2) – 6?

Ms. Kavitha borrowed Rs. 950 at 6% per annum simple interest. What amount will she pay to clear her debt after 4 years?