PREVIOUS YEAR SOLVED PAPERS MCQ - GATE 2020

6 If P = 3, R = 27, T = 243, then Q + S = ______

P = 3¹
Q = 3² = 9
R = 3³ = 27
S = 3⁴ = 81
T = 3⁵ = 243
So, Q + S = 9 + 81 = 90

7 Two straight lines are drawn perpendicular to each other in X–Y plane. If α and β are the acute angles the straight lines make with the X-axis then α + β is _____ .

8 His knowledge of the subject was excellent, but his classroom performance was______.

His knowledge of the subject was excellent, but his classroom performance was extremely poor.

9 The dawn of the 21st century witnessed the melting glaciers oscillating between giving much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to man-made emissions, at least 30% of the northern hemisphere’s surface permafrost could melt by the end of the century. Give situation of imminent global exodus of billions of people displaced by rising seas, nation-states need to rethink their cartoon footprint for political concerns, if not for environmental ones.
Which of the following statements can be inferred from the given passage?

Billions of people are affected by melting glaciers.

10 The figure below shows an annular ring with outer and inner radii as b and a, respect. The annular space has been painted in the form of blue color circles touching the and inner periphery of annular space. If the maximum n number of circles can be painted, then the unpainted area available in annular space is _____.

Radius of inner circle = a
Radius of outer circle = b
Radius of small circle = (b - a)/2
area of donut shaped figure = π(b² – a²)
Area of each small circle =

total area of all small circle= n

Area of remaining portion

i = 0	i = 1	i = 2
ex = 3 x 3	ex = 9 x 3	tot = t * t *ex
= 9	= 81	= 1 * 81 = 81