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Practice Test 6
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SSC CGL Geometry and Mensuration Verified Practice Test 6

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 6

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 6 (no login required)
  1. Circle

    1. A chord of length 16 cm is at 6 cm from centre. Radius of circle is:

    • A. 8 cm
    • B. 9 cm
    • C. 10 cm (Correct)
    • D. 11 cm

    Explanation: Half-chord=8. r=√(64+36)=√100=10 cm.

  2. Cuboid

    2. Diagonal of a cuboid 3cm×4cm×12cm is:

    • A. 11 cm
    • B. 13 cm (Correct)
    • C. 14 cm
    • D. 15 cm

    Explanation: Diagonal=√(9+16+144)=√169=13 cm.

  3. Triangle Area

    3. Area of equilateral triangle with side 8 cm is:

    • A. 8√3 sq cm
    • B. 12√3 sq cm
    • C. 16√3 sq cm (Correct)
    • D. 20√3 sq cm

    Explanation: Area=(√3/4)×64=16√3 sq cm.

  4. Angles

    4. Sum of interior angles of a pentagon is:

    • A. 450°
    • B. 480°
    • C. 540° (Correct)
    • D. 600°

    Explanation: (n−2)×180=(5−2)×180=540°.

  5. Square

    5. Area of a square with diagonal 10 cm is:

    • A. 40 sq cm
    • B. 45 sq cm
    • C. 50 sq cm (Correct)
    • D. 55 sq cm

    Explanation: Area=d²/2=100/2=50 sq cm.

  6. Cylinder

    6. Curved surface area of a cylinder with radius 7 cm and height 10 cm is:

    • A. 420 cm²
    • B. 440 cm² (Correct)
    • C. 460 cm²
    • D. 480 cm²

    Explanation: CSA=2πrh=2×22/7×7×10=440 cm².

  7. Triangle

    7. In a triangle with sides 13, 14, 15 cm, the area by Heron's formula is:

    • A. 72 sq cm
    • B. 78 sq cm
    • C. 84 sq cm (Correct)
    • D. 90 sq cm

    Explanation: s=(13+14+15)/2=21. Area=√(21×8×7×6)=√7056=84 sq cm.

  8. Rhombus

    8. Area of rhombus with diagonals 12 cm and 16 cm is:

    • A. 80 sq cm
    • B. 88 sq cm
    • C. 96 sq cm (Correct)
    • D. 100 sq cm

    Explanation: Area=d₁×d₂/2=12×16/2=96 sq cm.

  9. Sphere

    9. Surface area of a sphere with radius 7 cm is:

    • A. 516 cm²
    • B. 572 cm²
    • C. 616 cm² (Correct)
    • D. 660 cm²

    Explanation: SA=4πr²=4×22/7×49=616 cm².

  10. Similar Triangles

    10. Two similar triangles have sides 6 and 10. Ratio of their areas:

    • A. 6:10
    • B. 18:50
    • C. 9:25 (Correct)
    • D. 36:100

    Explanation: Ratio of areas = (6/10)² = 36/100 = 9:25.

  11. Tangent

    11. A tangent from external point P to circle of radius 5 cm. Distance of P from centre is 13 cm. Tangent length:

    • A. 10 cm
    • B. 11 cm
    • C. 12 cm (Correct)
    • D. 13 cm

    Explanation: Tangent=√(13²−5²)=√(169−25)=√144=12 cm.

  12. Quadrilateral

    12. In a trapezium, parallel sides are 8 cm and 12 cm. Height is 6 cm. Area:

    • A. 54 sq cm
    • B. 58 sq cm
    • C. 60 sq cm (Correct)
    • D. 66 sq cm

    Explanation: Area=1/2×(8+12)×6=60 sq cm.

  13. Triangle

    13. In triangle ABC, angle bisector from A meets BC at D. If AB=6, AC=9, BC=10, find BD.

    • A. 3 cm
    • B. 4 cm (Correct)
    • C. 5 cm
    • D. 6 cm

    Explanation: By angle bisector theorem: BD/DC=AB/AC=6/9=2/3. BD=10×2/5=4 cm.

  14. Angles

    14. Vertically opposite angles are always:

    • A. Supplementary
    • B. Complementary
    • C. Equal (Correct)
    • D. Reflex

    Explanation: Vertically opposite angles are always equal.

  15. Cylinder

    15. Total surface area of a cylinder with r=7 cm and h=10 cm:

    • A. 726 cm²
    • B. 748 cm² (Correct)
    • C. 760 cm²
    • D. 776 cm²

    Explanation: TSA=2πr(r+h)=2×22/7×7×17=748 cm².