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Home Aptitude Volume and Surface Area Comments

  • Question
  • In ?ABC, ?BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?


  • Options
  • A. 3.5
  • B. 7
  • C. 10.5
  • D. 14

  • Correct Answer
  • 14 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?

    • Options
    • A. 36
    • B. 56
    • C. 64
    • D. 46
    • Discuss
    • 2. The length of diagonal of a square is 9?2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

    • Options
    • A. 6?
    • B. 9?
    • C. 12?
    • D. 15?
    • Discuss
    • 3. In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 sq.cm. What is the area (in sq.cm) of triangle FGE?

    • Options
    • A. 13
    • B. 26
    • C. 39
    • D. 52
    • Discuss
    • 4. The ratio of the volume of two cylinders is 7 : 3 and the ratio of their heights is 7 : 9. If the area of the base of the second cylinder is 154 sq. cm, then what will be the radius (in cm) of the first cylinder?

    • Options
    • A. 6?2
    • B. 6?3
    • C. 7?2
    • D. 7?3
    • Discuss
    • 5. Circum center of ?ABC is O. If ?BAC = 75 and ?BCA = 80 degrees, then what is the value of ?OAC(in deg)?

    • Options
    • A. 45
    • B. 65
    • C. 90
    • D. 95
    • Discuss
    • 6. A chord of length 60 cm is at a distance of 16 cm from the centre of a circle. What is the radius (in cm) of the circle?

    • Options
    • A. 17
    • B. 34
    • C. 51
    • D. 68
    • Discuss
    • 7. T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

    • Options
    • A. TA = 2 TB
    • B. TA = TB
    • C. TA = 1/2 TB
    • D. 3TA = TB
    • Discuss
    • 8. The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.

    • Options
    • A. trapezium
    • B. rectangle
    • C. parallelogram
    • D. square
    • Discuss
    • 9. The internal bisectors of ?Q and ?R of triangle PQR meet at O. If ?P = 70°, then what is the measure of ?QOR (in degrees)?

    • Options
    • A. 110
    • B. 115
    • C. 125
    • D. 135
    • Discuss
    • 10. If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

    • Options
    • A. 5 : 7
    • B. 25 : 49
    • C. ?5 : ?7
    • D. 125 : 343
    • Discuss


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