Exams

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

I shall go (A)/ by the (B)/ 3 o' clock's train. (C) / No error (D)

In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct.

1. The biggest villain in Deadwood has always been one thing: Fire.

P. In less than an hour the flames were leaping through the tree-tops.

Q. In our own times, a great fire threatened the town yet again.

R. The wind roared through the forest carrying the flames almost to the edge of town.

S. It all began when some waste-paper caught fire at the foot of the valley.

6. Fire-brigades arrived from all parts of the country to save Deadwood.

In the following question, a sentence / a part of sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence. Choose the correct alternative. In case no improvement is required, choose "No Improvement" option.

My office is within a stone's throw from the university.

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.

_____________ who argue in this way support their case by pointing to the lack of a general consensus of opinion which obtains in many parts of the field which the philosopher regards as his own; and also by ____________ out that, even within this field, there is a growing tendency ___________ the part of certain sciences to separate themselves from philosophy and _____________ independent. Thus the psychologist and the logician are sometimes very anxious to have it understood that they belong among the scientists and ___________ among the philosophers.

from philosophy and _____________ independent.

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.

It is a delight _______________ the illuminating thoughts which came to the minds of these men; and, on the other hand, it is amusing to see how ________________ they launched ________________ on boundless seas when they were unprovided with chart and compass. They were _________ brilliant children, who know little of the dangers of the great world, but are ready to undertake anything. These philosophers regarded all knowledge as their province, and did __________ despair of governing so great a realm.

It is a delight _______________ the illuminating thoughts

In the following question, a sentence has been given in Active/Passive voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice.

I have sent you an email last week.

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is