Quantitative Aptitude - Arithmetic Ability Questions

Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all the three complete the same wall while working together?

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?

ΔXYZ is similar to ΔPQR. If ratio of perimeters of ΔXYZ : ΔPQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

In a motor of 120 machine parts, 5% parts were defective. In another motor of 80 machine parts, 10% parts were defective. For the two motors considered together, the percentage of defective machine parts were

In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

If cos 45° - ­ sec 30° = x, then value of x is

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?