Quantitative Aptitude - Arithmetic Ability Questions

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

The ten's digit of a 2­digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A vendor buys 6 bananas for Rs 25 and sells them at 3 for Rs 20. What is his profit percentage?

The ratio of present ages of Rambha and Sarvesh is 8:5. After 7 years the ratio of their ages will be 5:4. What is Rambha's present age?

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

The orthocentre of an obtuse­angled triangle lies