Quantitative Aptitude - Arithmetic Ability Questions

Given: x -­ 5 ≤ 2x -­ 3 and 2x - ­1/2 ≥ 5x + 2; then x can take which of the following values?

In the following question, select the odd word pair from the given alternatives.

Two students appeared for an examination. One of them secured 16 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

The average weight of Sudesh, Jyothi and Ritu is 89 kg. If the average weight of Sudesh and Jyothi be 98 kg and that of Jyothi and Ritu be 83 kg, then the weight of Jyothi is

The sum of the digits of a 2­digit number is 17. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

The two sides holding the right-angle in a right-angled triangle are 3 cm and 4 cm long. The area of its circumcircle will be in sq.cm:

In ΔPQR, PS and PT are bisectors of ∠QPR and ∠QPS respectively. If ∠QPT = 30°, PT = 9 cm and TR = 15 cm, then what is the area (in cm2) of ΔPTR

What is the value of ( 1/2 - cot45) ?