1
GATE CSE 2020
+2
-0.67
Two straight lines are drawn perpendicular to each other in X-Y plane. If $$\alpha$$ and $$\beta$$ are the acute angles the straight lines make with the X-axis, then $$\alpha$$ + $$\beta$$ is ______.
A
60o
B
90o
C
120o
D
180o
2
GATE CSE 2020
+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
$$\pi \left[ {\left( {{b^2} - {a^2}} \right) + {n \over 4}{{\left( {b - a} \right)}^2}} \right]$$
3
GATE CSE 2020
+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
4
GATE CSE 2019
+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
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