A circle with center $O$ is shown in the figure. A rectangle $P Q R S$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of shaded portion is $\_\_\_\_$ .
A
$\pi a^2-a^2$
B
$\pi a^2-3 a^2$
C
$\pi a^2-\sqrt{2} a^2$
D
$\pi a^2-2 a^2$
2
GATE ECE 2020
MCQ (Single Correct Answer)
+2
-0.67
It is quarter past three in your watch. The angle between the hour hand and the minute hand is $\_\_\_\_$ .
A
$22.5^{\circ}$
B
$15^0$
C
$7.5^0$
D
$0^0$
3
GATE ECE 2019
MCQ (Single Correct Answer)
+2
-0.67
Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of
USD 3000 for the consultants. P stopped working when hour hand moved by 210 degrees on the clock. Q
stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each
during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks.
The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants,
the client shall have USD ________ remaining in the budget.
A
000.00
B
300.00
C
166.67
D
433.33
4
GATE ECE 2019
MCQ (Single Correct Answer)
+2
-0.67
The bar graph in Panel (a) shows the proportion of male and female illiterates in 2001 and 2011. The
proportions of males and females in 2001 and 2011 are given in Panel (b) and (c), respectively. The total
population did not change during this period. The percentage increase in the total number of literates from
2001 to 2011 is _______.
