Mensuration · SSC CGL previous year questions

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2022 112 questions

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
Q742022 · 5 Dec 2022 · Shift 3
The volume of the hemisphere is 19,404 cm 3. The radius of the hemisphere is _______.
1. A.14 cm
2. B.19 cm
3. C.21 cm
4. D.17 cm
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Answer: C
Q602022 · 5 Dec 2022 · Shift 4
If ∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm 2, then the area of the triangle DEF is:
1. A.169 cm2
2. B.80 cm2
3. C.144 cm2
4. D.125 cm2
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Answer: D
Q642022 · 5 Dec 2022 · Shift 4
Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm.
1. A.509 cm2
2. B.504 cm2
3. C.516 cm2
4. D.512 cm2
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Answer: B
Q752022 · 5 Dec 2022 · Shift 4
Three circles of radius 4 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
1. A.24 + 8p cm
2. B.24p + 16 cm
3. C.32 + 16p cm
4. D.24 + 18p cm
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Answer: A
Q602022 · 3 Dec 2022 · Shift 1
If the volume of a sphere is 24,416.64 cm3, find its surface area (take π = 3.14) correct to two places of decimal.
1. A.3069.55 cm2
2. B.4069.44 cm2
3. C.5069.66 cm2
4. D.6069.67 cm2
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Answer: B
Q652022 · 3 Dec 2022 · Shift 1
If the diameter of a sphere is 3.5 cm, then what is the total surface area of the sphere?
1. A.45.75 cm2
2. B.42.6 cm2
3. C.38.5 cm2
4. D.34.25 cm2
Show answer
Answer: C
Q712022 · 3 Dec 2022 · Shift 1
The area of a sector of a circle is 66 cm2 and the angle of the sector is 60°. Find the radius of the circle.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q752022 · 3 Dec 2022 · Shift 1
Select the correct option with respect to the given statement. Two tangents are drawn at the end of the diameter of a circle.
1. A.They intersect each other.
2. B.They pass through origin.
3. C.They are parallel to each other.
4. D.They are perpendicular to each other.
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Answer: C
Q592022 · 3 Dec 2022 · Shift 2
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
1. A.36 + 12π cm
2. B.36 + 18π cm
3. C.24 + 36π cm
4. D.36 + 20π cm
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Answer: A
Q512022 · 3 Dec 2022 · Shift 3
The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 2.1 cm, then what is the volume of cylinder?
1. A.224.65 cm3
2. B.194.72 cm3
3. C.324.86 cm3
4. D.261.95 cm3
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Answer: D
Q572022 · 3 Dec 2022 · Shift 3
A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire?
1. A.224 cm
2. B.183 cm
3. C.198 cm
4. D.243 cm
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Answer: D
Q692022 · 3 Dec 2022 · Shift 3
Let O be the center of a circle and P be a point outside the circle. If PAB is a secant of the circle which cuts the circle at A and B and PT is the tangent drawn from P, then find the length of PT. PA = 3 cm and AB = 9 cm.
1. A.3 cm
2. B.4 cm
3. C.6 cm
4. D.8 cm
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Answer: C
Q742022 · 3 Dec 2022 · Shift 3
Suppose ΔABC be a right angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm2 and BC = 16 cm, then the length of AD is :
1. A.10 cm
2. B.24 cm
3. C.18 cm
4. D.12 cm
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Answer: A
Q652022 · 3 Dec 2022 · Shift 4
If the length of the diagonal of a cube is $73$ cm, then the surface area of the cube is ______.
1. A.216 cm2
2. B.256 cm2
3. C.284 cm2
4. D.294 cm2
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Answer: D
Q672022 · 3 Dec 2022 · Shift 4
Two identical circles each of radius 30 cm intersect each other such that the circumference of each one passes through the centre of the other. What is the area of the intersecting region?
1. A.400π - 250 cm2
2. B.300π - 150 cm2
3. C.500π - 350 cm2
4. D.600π - 450 cm2
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Answer: D
Q742022 · 3 Dec 2022 · Shift 4
The area of a sector of a circle is 308 cm 2, with the central angle measuring 45°. The radius of the circle is:
1. A.14 cm
2. B.21 cm
3. C.7 cm
4. D.28 cm
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Answer: D