Quantitative Aptitude - Arithmetic Ability Questions

Two students appeared for an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are

What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) – 4 cosec2 45 + 8 sin (p/2)?

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

If 4r = h + r2+h2 then r: h = ? (r not equal to 0)

A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm2) cuboid?

The first and last terms of an arithmetic progression are 29 and -49. If the sum of the series is -140, then it has how many terms?

Which of the following quadratic equations has real roots?

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