Exams

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

Bhutan does not share its border with which Indian state?

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

In the following question, a sentence has been given in Active/Passive voice. Out of four alternatives suggested, select the one, which best expresses the same sentence in Passive/Active voice.

Our Institute has launched a new scholarship scheme for the weaker sections of the society.

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.

Photography is the _____________ we can get to stopping time. The camera is our pause button, the cork we use to stop time from running out. And the photo album is the most potent time machine ever ____________, one that transports you to a curated past where everything exists ________ you choose to remember it,one that lets you revisit ________ just people and places and ages, but the hidden crannies of ________ own memory and the strange landscape of emotions that lies beyond.

lets you revisit ________ just people

What is the value of equation a3+b3+c3-3abc if a2+b2+c2=ab+bc+ca+4 and a+b+c = 4.

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.

Although it has been felt necessary to devote much space to ________ attempt to find principles that may be said to be at the basis ________ the art of all nations, the executive side of the question has not been neglected. And it is hoped that the __________ method for the study of drawing from the two opposite points of view ofline and mass here advocated may be useful, and help students to avoid some of the _____________ that results from attempting simultaneously the study of these______________ qualities of form expression.

at the basis ________ the art of all nations,

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.