Aptitude and Reasoning Questions

In the first 36 overs of a cricket match, the run rate was 4.3 runs/over. Calculate the required run rate in the remaining 14 overs to reach the target of 271 runs?

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

Two women A and B are shopping in a mall. They start from the same point. A walks 150 m West, then turns to her left and walks 160 m. B walks 140 m East, then turns South and walks 160 m, then turns to her left and walks 120 m. Where is B with respect to A now?

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.

Statement:
(I) All young scientists are open-minded.
(II) No open-minded men are superstitious.

Conclusions:
(I) No scientist is superstitious.
(II) No young people are superstitious.

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

72, 56, 42, 30, 20, ?

From the given answer figures, select the one in which the question figure is hidden/embedded.

If a perfect square, not divisible by 6, be divided by 6, the remainder will be