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SSC CGL Geometry and Mensuration Verified Practice Test 7

15 structurally validated Geometry and Mensuration questions with unique options, mapped answers and explanations.

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SSC CGL Practice Session

SSC CGL Geometry and Mensuration Verified Practice Test 7

15 structurally validated Geometry and Mensuration questions with unique options, mapped answers and explanations.

Questions
15
Marking
+2 correct, -0.5 wrong
Format
15-question practice session
Preview all 15 questions in SSC CGL Geometry and Mensuration Verified Practice Test 7 (no login required)
  1. Circle

    1. Angle subtended by an arc at centre is 120°. Angle at any point on the major arc:

    • A. 30°
    • B. 40°
    • C. 50°
    • D. 60° (Correct)

    Explanation: Angle at major arc=120°/2=60°.

  2. Similar Triangles

    2. In similar triangles, perimeters are 12 and 20. If smallest side of smaller triangle is 3, smallest side of larger is:

    • A. 4
    • B. 5 (Correct)
    • C. 6
    • D. 7

    Explanation: Ratio=12:20=3:5. Smallest side of larger=3×20/12=5.

  3. Cone

    3. Slant height of cone with r=5 and h=12 is:

    • A. 11 cm
    • B. 12 cm
    • C. 13 cm (Correct)
    • D. 14 cm

    Explanation: l=√(r²+h²)=√(25+144)=13 cm.

  4. Triangle

    4. Pythagoras theorem applies to:

    • A. All triangles
    • B. Acute triangles
    • C. Right triangles (Correct)
    • D. Obtuse triangles

    Explanation: Pythagorean relation holds only for right-angled triangles.

  5. Quadrilateral

    5. Diagonals of a rhombus are 24 cm and 10 cm. Side of rhombus:

    • A. 11 cm
    • B. 12 cm
    • C. 13 cm (Correct)
    • D. 14 cm

    Explanation: Side=√(12²+5²)=√169=13 cm.

  6. Angles

    6. In a cyclic quadrilateral, opposite angles sum to:

    • A. 90°
    • B. 120°
    • C. 180° (Correct)
    • D. 360°

    Explanation: Opposite angles of a cyclic quadrilateral are supplementary.

  7. Hemisphere

    7. Curved surface area of hemisphere of radius 14 cm:

    • A. 1144 cm²
    • B. 1232 cm² (Correct)
    • C. 1344 cm²
    • D. 1432 cm²

    Explanation: CSA=2πr²=2×22/7×196=1232 cm².

  8. Tangent

    8. Two tangents from external point make angle 60° between them. Angle subtended at centre by chord joining tangent points:

    • A. 100°
    • B. 110°
    • C. 120° (Correct)
    • D. 130°

    Explanation: Angle at centre = 180°−60°=120°.

  9. Triangle

    9. In a 45-45-90 triangle, hypotenuse is 10 cm. Legs are:

    • A. 5 cm each
    • B. 5√2 cm each (Correct)
    • C. 7 cm each
    • D. 8 cm each

    Explanation: Leg=hyp/√2=10/√2=5√2 cm.

  10. Geometry and Mensuration

    10. Perimeter of rectangle with length 12 cm and breadth 7 cm is:

    • A. 40 cm
    • B. 36 cm
    • C. 38 cm (Correct)
    • D. 84 cm

    Explanation: Perimeter = 2(l+b).

  11. Geometry and Mensuration

    11. Perimeter of rectangle with length 13 cm and breadth 8 cm is:

    • A. 40 cm
    • B. 44 cm
    • C. 104 cm
    • D. 42 cm (Correct)

    Explanation: Perimeter = 2(l+b).

  12. Geometry and Mensuration

    12. Perimeter of rectangle with length 14 cm and breadth 9 cm is:

    • A. 126 cm
    • B. 46 cm (Correct)
    • C. 44 cm
    • D. 48 cm

    Explanation: Perimeter = 2(l+b).

  13. Geometry and Mensuration

    13. Perimeter of rectangle with length 15 cm and breadth 10 cm is:

    • A. 48 cm
    • B. 150 cm
    • C. 50 cm (Correct)
    • D. 52 cm

    Explanation: Perimeter = 2(l+b).

  14. Geometry and Mensuration

    14. Perimeter of rectangle with length 16 cm and breadth 11 cm is:

    • A. 54 cm (Correct)
    • B. 52 cm
    • C. 176 cm
    • D. 56 cm

    Explanation: Perimeter = 2(l+b).

  15. Geometry and Mensuration

    15. Perimeter of rectangle with length 17 cm and breadth 12 cm is:

    • A. 56 cm
    • B. 60 cm
    • C. 58 cm (Correct)
    • D. 204 cm

    Explanation: Perimeter = 2(l+b).