Exams

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

Select the odd word/letters/number/number pair from the given alternatives.

The simplified form of (x + 3)2 + (x - 1)2 is

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

If 9x - 6(3 - x) = 12, then the value of x is

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.

Does he ever drink tea?

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

Medicine that causes vomiting

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.

Truth is indeed a controversial aspect of ______. But almost always it can be justified as a moral principle on the basis of ______. When we talk about speaking the truth in order not to hide what, if hidden, will only prove damaging to others, we are emphasizing the ability to ‘feel’ for others. Again, often we purposely keep ourselves from communicating the truth as, once ______, it may hurt someone‘s feelings and sentiments. But keeping a person in the dark or denying him or her knowledge which he or she ought to have amounts to ______ another soul of its right to know that with which it has a ______.

once ______, it may hurt someone‘s