Mensuration · SSC CGL previous year questions

2023 89 questions

1. Q562023 · 17 Jul 2023 · Shift 3

   What is the volume of a cube if the perimeter of one face of the cube is 40 cm?

   1. A.1000 cm3
   2. B.820 cm3
   3. C.600 cm3
   4. D.800 cm3
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   Answer: A

2. Q592023 · 17 Jul 2023 · Shift 3

   What is the radius of circle which circumscribes the triangle ABC whose sides are 16, 30, 34 units, respectively?

   1. A.16 units
   2. B.17 units
   3. C.28 units
   4. D.34 units
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   Answer: B

3. Q652023 · 17 Jul 2023 · Shift 3

   Find the area of the sector of a circle with radius 5 cm and angle 60° (rounded off to one decimal).

   1. A.12.8 cm2
   2. B.14.1 cm2
   3. C.13.1 cm2
   4. D.15.1 cm2
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   Answer: C

4. Q652023 · 17 Jul 2023 · Shift 4

   A sector of a circle of radius 10 cm is formed at 60° angle at the centre. What will be its area (take π = 3.14)?

   1. A.52.33 cm2
   2. B.75.28 cm2
   3. C.60.67 cm2
   4. D.55.00 cm2
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   Answer: A

5. Q712023 · 17 Jul 2023 · Shift 4

   The area of the sector of a circle of radius 12 cm is 32 π cm2 Find the length of the corresponding arc of the sector.

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: A

6. Q582023 · 14 Jul 2023 · Shift 1

   Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.

   1. A.8 cm
   2. B.16 cm
   3. C.12 cm
   4. D.9 cm
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   Answer: B

7. Q632023 · 14 Jul 2023 · Shift 1

   In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 8 cm, PA = 6 cm and AB = x cm, then the value of x is:

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: C

8. Q712023 · 14 Jul 2023 · Shift 1

   The volume of a sphere of radius 4.2 cm is:

   
   1. A.278.234 cm3
   2. B.312.725 cm3
   3. C.297.824 cm3
   4. D.310.464 cm3
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   Answer: D

9. Q662023 · 14 Jul 2023 · Shift 2

   If the total surface area of a cube is 24 sq.units, then what is the volume of the cube?

   1. A.8 cu.units
   2. B.16 cu.units
   3. C.10 cu.units
   4. D.4 cu.units
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   Answer: A

10. Q712023 · 14 Jul 2023 · Shift 2

    A 15 cm long perpendicular is drawn from the centre of a circle to its 40 cm long chord. Find the radius of the circle.

    1. A.25 cm
    2. B.27 cm
    3. C.22 cm
    4. D.20 cm
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    Answer: A

11. Q662023 · 14 Jul 2023 · Shift 3

    AB is the diameter of a circle with centre O. P be a point on it. If ∠AOP = 95°, then ∠OBP __________.

    1. A.57.5°
    2. B.45.5°
    3. C.47.5°
    4. D.55.5°
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    Answer: C

12. Q702023 · 14 Jul 2023 · Shift 3

    The volume of a cone is 73920 cm3. If the height of the cone is 160 cm, then find the diameter of its base.

    1. A.21 cm
    2. B.40 cm
    3. C.22 cm
    4. D.42 cm
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    Answer: D

13. Q572023 · 14 Jul 2023 · Shift 4

    In the given figure, 'G' is the centre of the circle. Find the angle ACB when ∠AGB = 132°

    
    1. A.62°
    2. B.66°
    3. C.64°
    4. D.60°
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    Answer: B

14. Q642023 · 14 Jul 2023 · Shift 4

    In a circle, a 14 cm long chord is at 24 cm from the centre of the circle. Find the length of the radius of the circle.

    1. A.30 cm
    2. B.25 cm
    3. C.50 cm
    4. D.27 cm
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    Answer: B