Quantitative Aptitude - Arithmetic Ability Questions

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

An engineering student has to secure 25% marks to pass. He gets 56 and fails by 34 marks. Find the maximum marks.

If 2x + 3(5-2x) > 2 - 3x < 2x - x/3, then x can take which of the following values?

If √(1 - cos2A)/cosA = x, then the value of x is

If √(sec2A ­ 1) = x, then the value of x is

Select the odd word/letters/number/number pair from the given alternatives.

The length, breadth and height of a cuboid are in the ratio 19 : 11 : 13. If length is 30 cm more than height, then what is the volume (in cub.cm) of this cuboid?

The average marks obtained by Raghav in 12 tests is 24. Zubeida has maintained an average of 23 so far but has taken only 9 of the tests. If each test is out of 30, at least how much Zubeida score in any one of the remaining three tests to still have a chance to match Raghav's performance?