Mensuration · SSC CGL previous year questions

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2022 112 questions

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
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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
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Answer: C
Q672022 · 6 Dec 2022 · Shift 4
ΔABC ∼ ΔDEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ΔDEF = 25 cm, then the perimeter of ΔABC is:
1. A.40 cm
2. B.30 cm
3. C.35 cm
4. D.45 cm
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Answer: C
Q512022 · 5 Dec 2022 · Shift 1
Find the number of common tangents, if r 1 + r 2 = C 1C 2. (With usual notations, r 1 & r 2 and C 1& C 2 are the radii and centres of the two circles.)
1. A.1
2. B.0
3. C.3
4. D.4
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Answer: C
Q542022 · 5 Dec 2022 · Shift 1
The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?
1. A.91.98 cm3
2. B.99.96 cm3
3. C.96.98 cm3
4. D.90.69 cm3
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Answer: A
Q552022 · 5 Dec 2022 · Shift 1
The curved surface area of the sphere is 154 cm 2. Find the volume of the sphere (rounded off to one digit after decimal).
1. A.156.9 cm3
2. B.179.7 cm3
3. C.161.1 cm3
4. D.147.8 cm3
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Answer: B
Q522022 · 5 Dec 2022 · Shift 2
The total surface area of a cube is 1536 m 2. Find its volume.
1. A.216 m3
2. B.125 m3
3. C.4096 m3
4. D.729 m3
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Answer: C
Q712022 · 5 Dec 2022 · Shift 2
The length of the side of a cube is 4.2 cm. What is the volume of the largest sphere that can be taken out of the cube?
1. A.26.40 cm3
2. B.20.50 cm3
3. C.38.80 cm3
4. D.48.60 cm3
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Answer: C
Q742022 · 5 Dec 2022 · Shift 2
A varies directly as the positive square root of B, and inversely as the cube of C. If A = 15, when B = 27 and C = 2, then find B when A = 9 and C = 2.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q672022 · 5 Dec 2022 · Shift 3
The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?
1. A.5
2. B.8
3. C.7
4. D.6
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Answer: A
Q692022 · 5 Dec 2022 · Shift 3
A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere?
1. A.84π cm3
2. B.68π cm3
3. C.48π cm3
4. D.92π cm3
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Answer: A