The area of a square is equal to its side, if the side is 1 unit.

The volume of a hemisphere is 5749.33 cm³. Find its diameter (in cm).

If the circumference of a circle is 44 cm, then what must be its area (in cm²)?

If the lengths of the two parallel sides of a trapezium are 4 cm and 6 cm and its area is 25 cm². Find the distance between its parallel sides (in cm).

If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'D' can be represented by 12, 34 etc and 'R' can be represented by 95, 97 etc.

Similarly, you have to identify the set for the word 'PLUS'.

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.

The new civilisation of Righteousness and __________, and therefore of Brotherhood, of ordered Liberty, of Peace, of __________, cannot be built up until the elements are removed ______________ have brought the old civilisation crashing about our ears. _________________ is it necessary that the War shall be fought out to its appointed end, and that _______________ premature peace shall leave its object unattained.

appointed end, and that _______________ premature peace

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.

The new civilisation of Righteousness and __________, and therefore of Brotherhood, of ordered Liberty, of Peace, of __________, cannot be built up until the elements are removed ______________ have brought the old civilisation crashing about our ears. _________________ is it necessary that the War shall be fought out to its appointed end, and that _______________ premature peace shall leave its object unattained.

crashing about our ears. _________________ is it necessary