Quantitative Aptitude - Arithmetic Ability Questions

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is

What is the altitude of an equilateral triangle whose side is 12 cm?

Find the value of 'y' if y84 = 225

If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?

What is the value of sec2θ + 1sec2θ - 1 x 12cotθ - tanθ ?

If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?