Mensuration · SSC CGL previous year questions

2022 112 questions

1. Q632022 · 2 Dec 2022 · Shift 3

   A cuboid of length 36 m, breadth 18 m and height 9 m is melted and recast into a cube. Find the length of the diagonal of the cube.

   1. A.18 √3 m
   2. B.15 √3 m
   3. C.12 √3 m
   4. D.17 √3 m
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   Answer: A

2. Q672022 · 2 Dec 2022 · Shift 4

   In the given figure, a square ABCD is inscribed in a quadrant APCQ. If AB = 16 cm, find the area of the shaded region (take π = 3.14) correct to two places of decimal.

   
   1. A.155.98 cm2
   2. B.179.68 cm2
   3. C.163.85 cm2
   4. D.145.92 cm2
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   Answer: D

3. Q692022 · 2 Dec 2022 · Shift 4

   If the side of an equilateral triangle is 20 cm, then what is its area?

   
   1. A.110 cm2
   2. B.125 cm2
   3. C.200 cm2
   4. D.100 cm2
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   Answer: D

4. Q532022 · 1 Dec 2022 · Shift 1

   Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠PAB = 40° . The measure of ∠ABP is:

   1. A.45°
   2. B.55°
   3. C.50°
   4. D.40°
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   Answer: C

5. Q672022 · 1 Dec 2022 · Shift 1

   The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?

   1. A.45 cm
   2. B.16.5 cm
   3. C.49.5 cm
   4. D.24.5 cm
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   Answer: D

6. Q682022 · 1 Dec 2022 · Shift 1

   Radius of a circle is 10 cm. Angle made by chord AB at the centre of this circle is 60 degree. What is the length of this chord?

   1. A.40 cm
   2. B.20 cm
   3. C.30 cm
   4. D.10 cm
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   Answer: D

7. Q592022 · 1 Dec 2022 · Shift 2

   If areas of similar triangles ΔABC and Δ DEF are x 2 cm 2 and y 2 cm 2 respectively, and EF = a cm, then BC (in cm ) is:

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

8. Q662022 · 1 Dec 2022 · Shift 2

   The side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?

   1. A.6√3 cm
   2. B.4√3 cm
   3. C.9√3 cm
   4. D.5√3 cm
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   Answer: B

9. Q732022 · 1 Dec 2022 · Shift 2

   A hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm. What is the radius of the base of the cone?

   1. A.1.63 cm
   2. B.1.35 cm
   3. C.1.33 cm
   4. D.1.45 cm
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   Answer: C

10. Q752022 · 1 Dec 2022 · Shift 2

    O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP?

    1. A.26 cm
    2. B.52 cm
    3. C.13 cm
    4. D.15 cm
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    Answer: A

11. Q652022 · 1 Dec 2022 · Shift 3

    A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.

    1. A.143 m
    2. B.108 m
    3. C.324 m
    4. D.234 m
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    Answer: B

12. Q662022 · 1 Dec 2022 · Shift 3

    A solid metallic sphere of radius 13 cm is melted and recast into a cone having diameter of the base as 13 cm. What is the height of the cone?

    1. A.246 cm
    2. B.152 cm
    3. C.174 cm
    4. D.208 cm
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    Answer: D