Mensuration · SSC CGL previous year questions

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2022 112 questions

Q642022 · 7 Dec 2022 · Shift 1
The height of an equilateral triangle is 9√3 cm. What is the area of this equilateral triangle?
1. A.92√3 cm2
2. B.67√3 cm2
3. C.49√3 cm2
4. D.81√3 cm2
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Answer: D
Q752022 · 7 Dec 2022 · Shift 1
If the circumference of a circle is 220 cm, then what is its radius?
1. A.26 cm
2. B.25 cm
3. C.35 cm
4. D.40 cm
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Answer: C
Q512022 · 7 Dec 2022 · Shift 2
The perimeter of a square is 124 metres. What is its area?
1. A.448 m2
2. B.884 m2
3. C.764 m2
4. D.961 m2
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Answer: D
Q612022 · 7 Dec 2022 · Shift 2
Two concentric circles are drawn with radii 20 cm and 16 cm. What will be the length of a chord of the larger circle which is tangent to the smaller circle?
1. A.34 cm
2. B.24 cm
3. C.48 cm
4. D.12 cm
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Answer: B
Q622022 · 7 Dec 2022 · Shift 2
The circumference of the two circles is 308 cm and 440 cm respectively. What is the difference between their radii?
1. A.21 cm
2. B.49 cm
3. C.35 cm
4. D.14 cm
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Answer: A
Q672022 · 7 Dec 2022 · Shift 2
A circle is inscribed in a ΔABC having sides AB = 16 cm, BC = 20 cm and AC = 24 cm, and side AB, BC and AC touches circle at D, E and F, respectively. The measure of AD is:
1. A.10 cm
2. B.20 cm
3. C.6 cm
4. D.14 cm
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Answer: A
Q592022 · 7 Dec 2022 · Shift 3
A copper sphere of diameter 18 metre is drawn into a cylindrical wire of length 12 metre. What is the radius of the wire?
1. A.5 metre
2. B.9 metre
3. C.3 metre
4. D.12 metre
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Answer: B
Q652022 · 7 Dec 2022 · Shift 3
The length of the altitude of an equilateral triangle is $63$ m. The perimeter of the equilateral triangle (in m) is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q702022 · 7 Dec 2022 · Shift 3
What is the total surface area of a cone, if the slant height and radius of a cone is 30 cm and 14 cm, respectively?
1. A.1980 cm3
2. B.1963 cm3
3. C.1908 cm3
4. D.1936 cm3
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Answer: D
Q532022 · 7 Dec 2022 · Shift 4
The volume of the sphere is 38,808 cm3. What is the surface area of the sphere?
1. A.4455 cm2
2. B.4433 cm2
3. C.5544 cm2
4. D.3344 cm2
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Answer: C
Q582022 · 7 Dec 2022 · Shift 4
The radius of a hemisphere is 5.6 cm. What will be its volume?
1. A.367.95 cm3
2. B.195.95 cm3
3. C.380 cm3
4. D.265.65 cm3
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Answer: A
Q652022 · 7 Dec 2022 · Shift 4
In the given figure, O is the centre of the circle and ∠AOC = 140°. Find ∠ABC.
1. A.95°
2. B.110°
3. C.120°
4. D.103°
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Answer: B
Q742022 · 7 Dec 2022 · Shift 4
If the side of an equilateral triangle is 8 cm, then find the area of the triangle (correct to two decimal places).
1. A.27.17 cm2
2. B.27.27 cm2
3. C.27.71 cm2
4. D.27.72 cm2
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Answer: C
Q542022 · 6 Dec 2022 · Shift 1
If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the perimeter of the original rectangle?
1. A.15 cm
2. B.24 cm
3. C.20 cm
4. D.10 cm
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Answer: C
Q622022 · 6 Dec 2022 · Shift 1
Find the area of the sector of a circle with radius 4 cm and angle 30°.
1. A.7.186 cm2
2. B.6.186 cm2
3. C.4.186 cm2
4. D.5.186 cm2
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Answer: C
Q742022 · 6 Dec 2022 · Shift 1
A wire is in the form of square with side 11 cm. It is bent to form a circle. What is the radius of the circle?
1. A.11 cm
2. B.5 cm
3. C.9 cm
4. D.7 cm
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Answer: D
Q512022 · 6 Dec 2022 · Shift 2
How many circles can be drawn that pass(es) through two fixed points?
1. A.Infinite
2. B.Only two
3. C.One or two
4. D.Only one
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Answer: A
Q722022 · 6 Dec 2022 · Shift 2
A tangent is drawn from a point M to a circle, which meets the circle at T such that MT = 12 cm. A secant MAB intersects the circle at points A and B. If MA = 8 cm, what is the length ( in cm ) of the chord AB?
1. A.16
2. B.10
3. C.12
4. D.9
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Answer: B
Q742022 · 6 Dec 2022 · Shift 2
The height of an equilateral triangle is $73$ cm. What is the area of this equilateral triangle?
1. A.36 cm2
2. B.25 cm2
3. C.49 cm2
4. D.32 cm2
Show answer
Answer: C
Q512022 · 6 Dec 2022 · Shift 3
Calculate the area of a sector of a circle with radius 10 metres and angle of 90 degrees at the centre.
1. A.79.3 m2
2. B.79.5 m2
3. C.78.5 m2
4. D.75 m2
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Answer: C
Q522022 · 6 Dec 2022 · Shift 3
In the figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 20 cm, PB = 12 cm and CP = 8 cm, then find the measure of PD.
1. A.12 cm
2. B.11 cm
3. C.22 cm
4. D.14 cm
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Answer: A
Q752022 · 6 Dec 2022 · Shift 3
If the volume of a sphere is $179 \frac{2}{3}$ m $^{3}$ , what is its surface area?
1. A.221 m2
2. B.154 m2
3. C.144 m2
4. D.151 m2
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Answer: B
Q542022 · 6 Dec 2022 · Shift 4
The diagonal of the square is 8√2 cm. Find the diagonal of another square whose area is triple that of the first square.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q582022 · 6 Dec 2022 · Shift 4
The number of parallel tangents of a circle with a given tangent is:
1. A.1
2. B.2
3. C.3
4. D.4
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Answer: A
Q662022 · 6 Dec 2022 · Shift 4
The radius of a hemisphere is 6.3 cm. What will be its volume?
1. A.572.80 cm3
2. B.643.50 cm3
3. C.523.90 cm3
4. D.353.38 cm3
Show answer
Answer: C