GATE CY 2018 Question Paper (04-Feb-2018) (Shift 2)

"When she fell down the ______, she received many ______ but little help." The words that best fill the blanks in the above sentence are

"In spite of being warned repeatedly, he failed to correct his ______ behaviour."

The word that best fills the blank in the above sentence is

For $0\le x\le 2\pi$, $\sin x$ and $\cos x$ are both decreasing functions in the interval______.

The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle?

Arrange the following three-dimensional objects in the descending order of their volumes:

(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii) A cube of side 8 cm

(iii) A cylinder with base radius 7 cm and height 7 cm

(iv) A sphere of radius 7 cm