1
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+2
-0.66

An equilateral triangle, a square and a circle have equal areas.

What is the ratio of the perimeters of the equilateral triangle to square to circle?

A
$3 \sqrt{3}: 2: \sqrt{\pi}$
B
$\sqrt{(3 \sqrt 3}) : 2 : \sqrt \pi\;$
C
$\sqrt{(3 \sqrt 3}) : 4 : 2\sqrt \pi\;$
D
$\sqrt{(3 \sqrt 3}) : 2 : 2\sqrt \pi\;$
2
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+2
-0.66

Given below are three conclusions drawn based on the following three statements.

Statement 1 : All teachers are professors.

Statement 2 : No professor is a male.

Statement 3 : Some males are engineers.

Conclusion I : No engineer is a professor.

Conclusion II : Some engineers are professors.

Conclusion III : No male is a teacher.

Which one of the following options can be logically inferred?

A
Only conclusion III is correct
B
Only conclusion I and conclusion II are correct
C
Only conclusion II and conclusion III are correct
D
Only conclusion I and conclusion III are correct
3
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+2
-0.66
In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?
A
11
B
12
C
144
D
2
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