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

Question 1

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

Accepted Answer

stairs, stares

Answer

stairs, stairs

Answer

stares, stairs

Answer

stares, stares

Question 2

"In spite of being warned repeatedly, he failed to correct his ______ behaviour." The word that best fills the blank in the above sentence is

Accepted Answer

errant

Answer

rational

Answer

reasonable

Answer

good

Question 3

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

Accepted Answer

$(\frac{\pi}{2}, \pi)$

Answer

$(0, \frac{\pi}{2})$

Answer

$(\pi, \frac{3\pi}{2})$

Answer

$(\frac{3\pi}{2}, 2\pi)$

Question 4

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

Accepted Answer

6

Answer

2

Answer

4

Answer

8

Question 5

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

Accepted Answer

(iv), (iii), (ii), (i)

Answer

(i), (ii), (iii), (iv)

Answer

(ii), (i), (iv), (iii)

Answer

(iii), (ii), (i), (iv)