Aptitude and Reasoning Questions

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

The mean of the data 1, 1/2, 1/2, 3/4, 1/4, 2, 1/2, 1/4, 3/4 is

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

If the length of one side and the diagonal of a rectangle are 5 cm and 13 cm respectively, then find its perimeter (in cm).

40.36 ­- (9.347 -­ x ) -­ 29.02 = 3.68. Find x.

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) Management includes managing people, process, and plans.
(II) Handling people is most difficult in terms of dealing up with various diversities and opinions.

Conclusion:
(I) Diversity brings in difference of opinion because of differences in cognitive abilities.
(II) Management is a multi­tasking procedure keeping in view 360 degrees of a situation or problem.

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

3, 7, 13, 27, 53, ?

What is the value of (4a2 + 8b + 14c + 2)/2 ?