A cube of maximum possible volume is cut from a sphere of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?
Diagonal of cube = Diameter of sphere √3 a = 2 (5√3) a = 10 cm Required ratio = volume of cube: volume of sphere = (10)³: 4/3π (5√3)³ = 1000: 4/3 π × 25 × 3 √3 = 2:√3π
Owing to the disturbing noise,( A)/ the speaker was forced (B)/ to adjourn the meetings.(C)/ No error (D)
The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Every / curious child / want...
Despite of all the importance attached to water, there has been no effective mechanism adopted to prevent its pollution.
...The while stench of sulphurous gas (A)/pervading a world of darkness (B)/broken only by a dull (C)/red glow on a distant, invisible horizon (D).
Find out the appropriate word.
In the following questions each sentence is divided into four parts. Read each sentence to find out if there is any error in it. The error, if any, wil...
Were I the President(A)/ I would award(B)/ you a title.(C)/ No error(D)
The postman travelled by the cycle, often wading through (1)/ swamps or passed through jungles (2)/in order to reach the villages (3)/ No error (4)
Any state expecting to be taken seriously must first organize themselves to behave seriously.
There was an audible gasp from the group of tourists, most Europeans, as the twig emerged from the other side.