Mensuration · SSC CGL previous year questions

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2023 89 questions

Q632023 · 19 Jul 2023 · Shift 1
Two chords of a circle, AB and CD, meet outside the circle at the point P. If AP = 200 mm, AB = 120 mm, and CP = 160 mm, what is the length of CD?
1. A.100 mm
2. B.75 mm
3. C.60 mm
4. D.150 mm
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Answer: C
Q682023 · 19 Jul 2023 · Shift 1
Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of 108°. [Use π = 22/7]
1. A.6.6 cm
2. B.5.6 cm
3. C.13.2 cm
4. D.11.2 cm
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Answer: A
Q712023 · 19 Jul 2023 · Shift 1
A conical tent has a radius of 7 m and a vertical height of 24 m. How many full bags of rice can be emptied in it if the space occupied by the rice in each bag is 2 m3?
1. A.566
2. B.616
3. C.716
4. D.650
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Answer: B
Q522023 · 19 Jul 2023 · Shift 2
Two circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and ∠PAB = 65°, then ∠ABP is _________.
1. A.35°
2. B.15°
3. C.5°
4. D.25°
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Answer: D
Q642023 · 19 Jul 2023 · Shift 2
The lateral area of a cylinder is 3168 cm² and its height is 48 cm. Find the volume.
1. A.5244 cm³
2. B.5544 cm³
3. C.5644 cm³
4. D.16632 cm³
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Answer: D
Q562023 · 19 Jul 2023 · Shift 3
What is the number of common tangents that can be drawn to two circles that touch each other externally?
1. A.2
2. B.4
3. C.3
4. D.1
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Answer: C
Q682023 · 19 Jul 2023 · Shift 3
If ΔABC ~ ΔPQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ΔABC.
1. A.18 cm
2. B.16 cm
3. C.20 cm
4. D.22 cm
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Answer: A
Q712023 · 19 Jul 2023 · Shift 3
To have a surface area of 9π square units of a ball, what should be the diameter (in units) of the ball?
1. A.2.5
2. B.2
3. C.1.5
4. D.3
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Answer: D
Q722023 · 19 Jul 2023 · Shift 3
The area of the sector of a circle (in cm²) of radius 7 cm and central angle 60° is: (Take π = 22/7)
1. A.77/2
2. B.77
3. C.77/3
4. D.77/4
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Answer: C
Q562023 · 19 Jul 2023 · Shift 4
The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the sum of the cubes of the two given numbers.
1. A.576
2. B.260
3. C.640
4. D.512
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Answer: A
Q722023 · 19 Jul 2023 · Shift 4
If the surface area of a cube is 5046 cm2, then the volume of the cube is:
1. A.26189 cm3
2. B.25145 cm3
3. C.22812 cm3
4. D.24389 cm3
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Answer: D
Q512023 · 18 Jul 2023 · Shift 1
The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.
1. A.6048
2. B.5616
3. C.6024
4. D.5832
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Answer: A
Q542023 · 18 Jul 2023 · Shift 1
The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the positive difference between the cubes of these two given numbers.
1. A.4104
2. B.5616
3. C.2160
4. D.5626
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Answer: B
Q562023 · 18 Jul 2023 · Shift 1
A conical tent of height 10 m and base diameter 48 m was erected by a company in a park. Find the curved surface area of the tent (In m2).
1. A.576 π
2. B.1248 π
3. C.1152 π
4. D.624 π
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Answer: D
Q712023 · 18 Jul 2023 · Shift 1
Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of ΔPQR. If the area of ΔPQR is 32 cm2 then find the area of ΔABC.
1. A.24 cm2
2. B.16 cm2
3. C.32 cm2
4. D.8 cm2
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Answer: D
Q722023 · 18 Jul 2023 · Shift 1
Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q752023 · 18 Jul 2023 · Shift 1
Two circles of radii 10 cm and 5 cm touch each other externally at a point A. PQ Is the direct common tangent of those two circles of centres O1 and O2 , respectively. The length of PQ is equal to:
1. A.10√2 cm
2. B.8√2 cm
3. C.9√2 cm
4. D.6√2 cm
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Answer: A
Q742023 · 18 Jul 2023 · Shift 2
The perimeter of an equilateral triangle is 48 cm. Find its area (in cm2).
1. A.81√3
2. B.8√3
3. C.25√3
4. D.64√3
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Answer: D
Q542023 · 18 Jul 2023 · Shift 3
A conical tent with radius 6 units and height 8 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)
1. A.188.57 units
2. B.155.87 units
3. C.166.57 units
4. D.177.55 units
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Answer: A
Q692023 · 18 Jul 2023 · Shift 3
ΔPQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Find the measure of ∠PSQ.
1. A.30°
2. B.60°
3. C.90°
4. D.45°
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Answer: B
Q742023 · 18 Jul 2023 · Shift 4
Area of a sector is 1848 m2 and the central angle of the sector is 270°. Find the radius of the circle. (Take π = 22/7)
1. A.784 m
2. B.22 m
3. C.27 m
4. D.28 m
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Answer: D
Q562023 · 17 Jul 2023 · Shift 1
The volume of a cone with height equal to radius, and slant height 5 cm is :
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q632023 · 17 Jul 2023 · Shift 1
ΔABC ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:
1. A.12.6 cm
2. B.24 cm
3. C.20 cm
4. D.10 cm
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Answer: C
Q642023 · 17 Jul 2023 · Shift 2
An arc of length 23.1 cm subtends an 18° angle at the centre. What is the area of the circle? [Use ]
1. A.16978.50 cm2
2. B.16988.50 cm2
3. C.16878.50 cm2
4. D.16798.50 cm2
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Answer: A
Q672023 · 17 Jul 2023 · Shift 2
What is the whole surface area of a cone of base radius 6 cm and height 8 cm?
1. A.354.50 cm2
2. B.350.51 cm2
3. C.301.71 cm2
4. D.364.61 cm2
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Answer: C