Consider the circle shown below having angle AOB as 135 deg and the shaded portion is the x part of the circular region. Calculate the value of x.

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.

Rs. 3105 is due to be divided among K, L and M in the proportion of 2/3 : 3/4 : 1/2 respectively. How much will L get?

Find the 4th proportional to 9, 17 and 27.

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Left to itself, then, attention _____________ obeys natural laws and follows the line of least resistance. _______________ far the larger portion of our attention is of this type. Thought often runs on hour after hour when we are neither conscious of effort _____________ struggle to compel us to cease thinking about this thing and begin thinking about _________. Indeed, it may be doubted ___________ this is not the case with some persons for days at a time, instead of hours. The things that present themselves to the mind are the things which occupy it; the character of the thought is determined by the character of our interests.

be doubted ___________ this is not the case

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Left to itself, then, attention _____________ obeys natural laws and follows the line of least resistance. _______________ far the larger portion of our attention is of this type. Thought often runs on hour after hour when we are neither conscious of effort _____________ struggle to compel us to cease thinking about this thing and begin thinking about _________. Indeed, it may be doubted ___________ this is not the case with some persons for days at a time, instead of hours. The things that present themselves to the mind are the things which occupy it; the character of the thought is determined by the character of our interests.

thinking about _________. Indeed,

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Left to itself, then, attention _____________ obeys natural laws and follows the line of least resistance. _______________ far the larger portion of our attention is of this type. Thought often runs on hour after hour when we are neither conscious of effort _____________ struggle to compel us to cease thinking about this thing and begin thinking about _________. Indeed, it may be doubted ___________ this is not the case with some persons for days at a time, instead of hours. The things that present themselves to the mind are the things which occupy it; the character of the thought is determined by the character of our interests.

conscious of effort _____________ struggle to compel

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Left to itself, then, attention _____________ obeys natural laws and follows the line of least resistance. _______________ far the larger portion of our attention is of this type. Thought often runs on hour after hour when we are neither conscious of effort _____________ struggle to compel us to cease thinking about this thing and begin thinking about _________. Indeed, it may be doubted ___________ this is not the case with some persons for days at a time, instead of hours. The things that present themselves to the mind are the things which occupy it; the character of the thought is determined by the character of our interests.

least resistance. _______________ far the larger portion