Aptitude and Reasoning Questions

Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?

What is the value of tan 7π/4?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

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

Smart, Aspire, Castle, Abysmal, Accost, ?

Find the sum of interior angles of a dodecagon?

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:1 and length of QR is 15 cm,what is the length of ST?

If 4x - 5y = -37 and 7x + y = -16, then x - y = ______