Quantitative Aptitude - Arithmetic Ability Questions

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

If (333 + 333 + 333) (233 + 233) = 6x, then what is the value of x?

What is the simplified value of (cos4 A – sin4 A)?

Atul can do a piece of work in 18 days, Aaravya is 50% more efficient than Atul. How much more time does Atul take than Aaravya to do the same piece of work?

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is

X can finish 25% of a work in a day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?

The mean of 10 observations is 13. Two more observations are included and the new mean becomes 14. The mean of two new observations is