Exams

'P' is the smallest positive integer such that every positive integer N greater than 'P' can be written as a sum of two composite numbers. Then 'P' is

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statement to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Some children are adults.
(II) Some adults are old.

Conclusion:
(I) Some children are not old.
(II) Some adults are not old.

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

If the length of the shadow of a vertical pole on the horizontal ground is √3 times its height, then the angle of elevation

Factors of  x2 + 7x + 10 are

What is the heat generated (in J) in a heating element of resistance 800 Ω when a current of 0.2 A passes through it for 40 seconds?

The sensation of sound persists in the human brain for about:

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.

Left to itself, then, attention _____________ obeys natural laws and follows the line of least resistance. _______________ far the larger portion of our attention is of this type. Thought often runs on hour after hour when we are neither conscious of effort _____________ struggle to compel us to cease thinking about this thing and begin thinking about _________. Indeed, it may be doubted ___________ this is not the case with some persons for days at a time, instead of hours. The things that present themselves to the mind are the things which occupy it; the character of the thought is determined by the character of our interests.

conscious of effort _____________ struggle to compel