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Home Aptitude Volume and Surface Area Comments

  • Question
  • ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is


  • Options
  • A. 2
  • B. 1
  • C. 0
  • D. 3

  • Correct Answer


  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:5 and area of ?ADE is 8 sq cm, what is the ratio of area of ?ADE: area of quadrilateral BDEC?

    • Options
    • A. (4:45)
    • B. (45:4)
    • C. (8:45)
    • D. (45:8)
    • Discuss
    • 2. In triangle ABC, BAC = 90 deg and AD is perpendicular to BC. If AD = 6cm and BD = 4cm, then the length of BC is

    • Options
    • A. 10 cm
    • B. 12 cm
    • C. 13 cm
    • D. 15 cm
    • Discuss
    • 3. In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are

    • Options
    • A. 4 cm and 3 cm
    • B. 8 cm and 6 cm
    • C. 12 cm and 9 cm
    • D. 16 cm and 12 cm
    • Discuss
    • 4. Which one of the following combination of measurements can form the sides of a triangle?

    • Options
    • A. 9 cm, 6 cm, 2 cm
    • B. 11 cm, 3 cm, 12 cm
    • C. 3 cm, 5 cm, 8 cm
    • D. 5 cm, 7 cm, 13 cm
    • Discuss
    • 5. The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:

    • Options
    • A. 4:3
    • B. 3:4
    • C. 2:1
    • D. 1:2
    • Discuss
    • 6. What is the reflection of the point (-3, 1) in the line x = -2?

    • Options
    • A. (-1 , 1)
    • B. (-3 , -5)
    • C. (1 , 1)
    • D. (-3 , 5)
    • Discuss
    • 7. The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

    • Options
    • A. (-2 , 5)
    • B. (2 , 5)
    • C. (-2 , -5)
    • D. (2 , -5)
    • Discuss
    • 8. If ax - 4y = -6 has a slope of -3/2. What is the value of a?

    • Options
    • A. 6
    • B. 3
    • C. -6
    • D. -3
    • Discuss
    • 9. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 1:2 and area of ?ABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

    • Options
    • A. 20
    • B. 40
    • C. 15
    • D. 30
    • Discuss
    • 10. ? XYZ is right angled at Y. If m?Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm?

    • Options
    • A. 6?3
    • B. 9?3/2
    • C. 3?3
    • D. 18
    • Discuss


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