Mensuration · SSC CGL previous year questions

2022 112 questions

1. Q512022 · 2 Dec 2022 · Shift 1

   In the given figure, a circle is inscribed in Δ PQR, such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the sides PQ = 15 cm, QR = 11 cm and RP = 13 cm, then find the length of PD.

   
   1. A.9 cm
   2. B.8 cm
   3. C.7.5 cm
   4. D.8.5 cm
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   Answer: D

2. Q602022 · 2 Dec 2022 · Shift 1

   Which of the following two will provide more volume? I) A cuboid of edges 6 cm, 7 cm and 8 cm II) A cube of edge 7 cm

   1. A.Cube will have more volume
   2. B.Both will have equal volume
   3. C.Cuboid will have more volume
   4. D.Cannot be determined
   Show answer

   Answer: A

3. Q662022 · 2 Dec 2022 · Shift 1

   If the diameter of a sphere is 63 cm, then what is the total surface area of the sphere?

   1. A.11824 cm2
   2. B.12836 cm2
   3. C.12474 cm2
   4. D.11248 cm2
   Show answer

   Answer: C

4. Q522022 · 2 Dec 2022 · Shift 2

   If the side of an equilateral triangle is 24 cm, then what is its area?

   
   1. A.169 cm2
   2. B.125 cm2
   3. C.256 cm2
   4. D.144 cm2
   Show answer

   Answer: D

5. Q582022 · 2 Dec 2022 · Shift 2

   If the diameter of a hemisphere is 28 cm, then what is the volume of hemisphere?

   1. A.5749.33 cm3
   2. B.6349.22 cm3
   3. C.6728.11 cm3
   4. D.5124.44 cm3
   Show answer

   Answer: A

6. Q622022 · 2 Dec 2022 · Shift 2

   The surface area of a cube is 864 cm2. The volume of the cube is ______.

   1. A.1728 cm3
   2. B.2197 cm3
   3. C.1331 cm3
   4. D.729 cm3
   Show answer

   Answer: A

7. Q592022 · 2 Dec 2022 · Shift 3

   The length of the tangent to a circle from a point P is 15 cm. Point P is 17 cm away from the centre. What is the radius of the circle?

   1. A.7 cm
   2. B.9 cm
   3. C.8 cm
   4. D.4 cm
   Show answer

   Answer: C

8. Q602022 · 2 Dec 2022 · Shift 3

   Side of an equilateral triangle is 24 cm. What will be the radius of in circle of this equilateral triangle?

   1. A.6 cm
   2. B.12 cm
   3. C.8 cm
   4. D.3 cm
   Show answer

   Answer: C

9. Q612022 · 2 Dec 2022 · Shift 3

   The radius of a right circular cylinder is five times of its height. If the height of the cylinder is 3.5 cm, then what is the volume of cylinder?

   1. A.3368.75 cm3
   2. B.3872.75 cm3
   3. C.3146.75 cm3
   4. D.3524.25 cm3
   Show answer

   Answer: A

10. 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

11. 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
    Show answer

    Answer: D

12. 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
    Show answer

    Answer: D

13. 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°
    Show answer

    Answer: C

14. 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
    Show answer

    Answer: D

15. 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
    Show answer

    Answer: D

16. 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
    Show answer

    Answer: C

17. 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
    Show answer

    Answer: B

18. 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

19. 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
    Show answer

    Answer: A

20. 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
    Show answer

    Answer: B

21. 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
    Show answer

    Answer: D