1
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
The figure below shows an annular ring with outer and inner radii as b and a, respectively. The annular space has been painted in the form of blue colour circles touching the outer and inner periphery of annular space. If maximum n number of circles can be painted, then the unpainted area available in annular space is _______.
A
$$\pi \left[ {\left( {{b^2} - {a^2}} \right) - {n \over 4}{{\left( {b - a} \right)}^2}} \right]$$
B
$$\pi \left[ {\left( {{b^2} - {a^2}} \right) - n{{\left( {b - a} \right)}^2}} \right]$$
C
$$\pi \left[ {\left( {{b^2} - {a^2}} \right) + n{{\left( {b - a} \right)}^2}} \right]$$
D
$$\pi \left[ {\left( {{b^2} - {a^2}} \right) + {n \over 4}{{\left( {b - a} \right)}^2}} \right]$$
2
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
The total revenue of a company during 2014-2018 is shown in the bar graph. If the total expenditure of the company in each year is 500 million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during 2014-2018 is ______.
A
16.67% profit
B
20% profit
C
16.67% loss
D
20% loss
3
GATE CSE 2019
MCQ (Single Correct Answer)
+2
-0.67
In a college, there are three student clubs. Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths club, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is _____.
A
900
B
975
C
1000
D
225
4
GATE CSE 2019
MCQ (Single Correct Answer)
+2
-0.67
Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests.

Request by X: Due to pollen allergy, I want to avoid a wing next to the garden.

Request by Y: I want to live as far from the washrooms as possible, since I am very sensitive to smell.

Request by Z: I believe in Vaastu and so want to stay in the South-west wing.

The shaded rooms are already occupied. WR is washroom.
A
B
C
D
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