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

A rhombus is formed by joining the midpoints of the sides of a unit square.

What is the diameter of the largest circle that can be inscribed within the rhombus?

A
$\frac{1}{\sqrt 2}$
B
$\frac{1}{2\sqrt 2}$
C
√2
D
2√2
2
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
$\sqrt{(3 \sqrt 3}) : 2 : 2\sqrt \pi\;$
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
4
GATE ME 2019 Set 1
MCQ (Single Correct Answer)
+2
-0.67
A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he would have got Rs.120 less. Find the ratio between his investments in the two schemes
A
47 : 53
B
9 : 16
C
11 : 14
D
37 : 63
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