Exams

P, Q and R are channels which discharge solutions A,B and C respectively in a tank. When the tank is empty and all the three channels are opened what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time.

Which set of letters when sequentially placed at the gaps in the given letter series shall complete it?

a_b_cc_a_b_c

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

TU, AB, HI, ?

Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

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) Life is a journey with few known people, few partially known and mostly strangers.
(II) In a journey, the importance of destination is as equal as the pathway of reaching that destination.

Conclusions:
(I) Importance of people in life is considerable, as they are our journey mates.
(II) Life teaches us many lessons to face various known and unknown difficulties.

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?

A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?

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)]?