List of practice Questions

Let $\alpha, \beta, \gamma$ and $\delta$ are four positive real number such that their product is unity, then the least value of $(1+\alpha)(1+\beta)(1+\gamma)(1+\delta)$ is:

Value of $\displaystyle\sum_{ k =1}^{6}\left(\frac{2 k \pi}{7}\right)- i \cos \left(\frac{2 k \pi}{7}\right)$ is equal to.

The equation of plane passing through a point $A (2,-1,3)$ and parallel to the vectors $a =(3,0,-1)$ and $b =(-3,2,2)$ is:

Milk of magnesia is used as:

Density of liquid in CGS system is $ 0.625\,g/cm^{3} $ What is its magnitude in SI system?

Critically examine the statements given in italics against each question.
The world is a great book; one who does not travel reads only one page.Which statement best elucidates the above?

Critically examine the statements given in italics against each question.
Rich, not gaudy, apparel proclaimeth the man.Which of the following sentences explains the above statement?

Critically examine the statements given in italics against each question.
Uneasy lies the head that wears the crown. What does this mean?

Critically examine the statements given in italics against each question.
The circumstances of birth are irrelevant. What you do with the gift of life, determines what you are. Which statement best explains this?

Critically examine the statements given in italics against each question.
Your mind is like a parachute; it works best when it is open.What does the statement imply?

The energy, intelligence and/(1) compassion of the volunteers/(2) who aided in the search/(3) effort was remarkable/(4).
Each sentence against the question has four underlined parts numbered (1), (2) and (4). Choose the part of the sentence which contains an error.

Most students/(1) of the college union/(2) rejects the chairman's/(3) demand that they return to classes/(4).
Each sentence against the question has four underlined parts numbered (1), (2) and (4). Choose the part of the sentence which contains an error.

Terrible as it sound/(1), most of us will support a death penalty/(2) system which is perfect in which/(3) only the guilty is executed/(4).
Each sentence against the question has four underlined parts numbered (1), (2) and (4). Choose the part of the sentence which contains an error.

To make drink and drive/(1) to criminal offence/(2), is an approach directed/(3) only to intoxicated drivers/(4).
Each sentence against the question has four underlined parts numbered (1), (2) and (4). Choose the part of the sentence which contains an error.

By making it a crime/(1) to take any life, even one's own/(2), we make a public announcement/(3) that each person was unique and valuable/(4).

The problem of housing shortage ....... with the population explosion has also been ...... by this policy.
Pick out the most effective pair of words to make the sentence meaningful.

Part of the conclusion in our societies ..... from our pursuit of efficiency and economic growth, in the ...... that these are the necessary ingredients of progress.
Pick out the most effective pair of words to make the sentence meaningful.

The quality of...... between individuals and the organisation for which they work can be...... to the benefit of both parties.
Pick out the most effective pair of words to make the sentence meaningful

Handicrafts constitute an important....... of the decentralised sector of India's economy and .......employment to cover six million artisans.
Pick out the most effective pair of words to make the sentence meaningful

A. The manager would like you to help him locate the fault.
B. If you help him locate the fault, the manager would like you.
C. The Managerdesires that you should provide him the necessary assistance to locate the fault.
In each question, there are three sentences marked A, B and C. Find the two or three sentences which convey the same meaning.

A.The judge remarkedthat not all the accused werereally guilty.
B. The judge remarked that some of the accused were guilty while others were not.
C. The judge remarked that all those who are accused include some who are not really guilty.
In each question, there are three sentences marked A, B and C. Find the two or three sentences which convey the same meaning.

A. in different regions of that federation.
B. that was Yugoslavia.
C. the fundamental cause has been the very large difference in the quality of life.
D. although the dismemberment of the federation.
E. is seen more as the result of an ethnic conflict.
Each question has a sentence that has been scrambled and the scrambled parts have been marked A, B, C,D and E. Find the correct order of the parts to reconstruct the sentence.

A. but there is some merit in it
B. as distinct from consumption
C. the bifurcation of plan and non-plan funds
D. in so far as it focuses attention on development expenses
E. in the budget is artificial

A. like the industrialised countries
B. as if they are to be suffered as relics of a backward past
C. we have specially drawn attention to the non-motorized
D. because they are completely overlooked in transport planning
E. till replaced by faster petroleum fuelled transport
Each question has a sentence that has been scrambled and the scrambled parts have been marked A, B, C,Dand E. Find the correct order of the parts to reconstruct the sentence.

A: he was highly sensitive and resentful
B: towards the country or to those
C: when there was even implied discourtesy
D: while he was extremely gentle and tolerant
E: he held in honour
Each question has a sentence that has been scrambled and the scrambled parts have been marked A, B, C,Dand E. Find the correct order of the parts to reconstruct the sentence.