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SSC CGL Geometry and Mensuration Practice Test 7

15 fresh SSC CGL geometry questions on triangles, circles, area, volume, and angle properties.

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SSC CGL Practice Session

SSC CGL Geometry and Mensuration Practice Test 7

15 fresh SSC CGL geometry questions on triangles, circles, area, volume, and angle properties.

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

    1. In a right triangle, if one angle is 30°, the other acute angle is:

    • A. 50°
    • B. 55°
    • C. 60° (Correct)
    • D. 65°

    Explanation: Angles in a triangle sum to 180°. 180−90−30=60°.

  2. Circle

    2. Diameter of a circle is 14 cm. Its area is:

    • A. 44 sq cm
    • B. 77 sq cm
    • C. 132 sq cm
    • D. 154 sq cm (Correct)

    Explanation: r=7 cm. Area=πr²=22/7×49=154 sq cm.

  3. Rectangle

    3. Diagonal of a rectangle with length 12 and breadth 5 is:

    • A. 11
    • B. 13 (Correct)
    • C. 15
    • D. 17

    Explanation: Diagonal=√(144+25)=√169=13.

  4. Cone

    4. Volume of a cone with radius 6 cm and height 7 cm is:

    • A. 264 cm³ (Correct)
    • B. 276 cm³
    • C. 284 cm³
    • D. 316 cm³

    Explanation: V=1/3×π×36×7=1/3×22/7×36×7=264 cm³.

  5. Angles

    5. Two parallel lines are cut by a transversal. Co-interior angles sum to:

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

    Explanation: Co-interior (same-side interior) angles are supplementary.

  6. Triangle

    6. In triangle ABC, angle A = 80°, angle B = 60°. Exterior angle at C is:

    • A. 120°
    • B. 130°
    • C. 140° (Correct)
    • D. 150°

    Explanation: Exterior angle = sum of opposite interior angles = 80+60 = 140°.

  7. Circle

    7. 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.

  8. Cuboid

    8. 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.

  9. Triangle Area

    9. 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.

  10. Angles

    10. 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°.

  11. Square

    11. 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.

  12. Cylinder

    12. 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.

  13. Triangle

    13. 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.

  14. Rhombus

    14. 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.

  15. Sphere

    15. 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.