Quantitative Aptitude - Arithmetic Ability Questions

If 3cos2x - 2sin2x = -0.75 and 0°⩽ x ⩽ 90°, then x = ?

If (x + y)/z = 2, then what is the value of [y/(y – z)] + [x/(x – z)]?

If 2x -­ 3 ≤ 5 + x and 5 -­ x < 1 + 5x; then x can take which of the following values?

Which of the following is correct?

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 32448 and Rs 33745.92 respectively, what is the rate of interest?