Quantitative Aptitude - Arithmetic Ability Questions

If ab+ba=1,then the value of a3+b3 is

What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?

Considering two opposite vertices of a square of side ‘a’ as centres, two circular arcs are drawn within the square joining the other two vertices, thus forming two sectors. What is the common area in these two sectors?

A person clapped his hands near a cliff and heard echo after 6 s. The distance of the cliff from the personis: [take v = 346 m/s]

A work can be completed by 28 women in 36 days. If 4 women leave after working for 18 days, then how many days will be needed to complete the remaining work?

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

If 3n = 2187, then the value of n is:

If the shopkeeper sells an item at Rs 960 which is marked as Rs 1200, then what is the discount he is offering?