Quantitative Aptitude - Arithmetic Ability Questions

In ΔPQR, L and M are two points on the sides PQ and PR respectively such that LM II QR. If PL=2cm; LQ=6cm and PM=1.5 cm, then MR in cm is

Δ PQR is right angled at Q. If m∠R = 60°, what is the length of PR (in cm), if RQ = 4√3 cm?

30 men working 5 hours a day can do a task in 16 days. In how many days will 40 men working 6 hours a day do the same task?

If 5 -­ 5x < 4 -­ x and 2 -­ x < 6 -­ 4x, then x can take which of the following values?

What is the reflection of the point (4, 7) in the line y = -1?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

The area of a circle is 38.5 cm2. Find its circumference (in cm).

Manish lent out Rs 20000 in two parts. He put out first part at 6% and the second part at 8% interest. The yearly average interest comes out to be 6.4%.What are the amounts (in Rs) that were lent at 6% and 8% respectively?