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Home Aptitude Volume and Surface Area Comments

  • Question
  • Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?


  • Options
  • A. 30
  • B. 33
  • C. 34.5
  • D. 35

  • Correct Answer
  • 30 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. The tangents drawn at points A and B of a circle with centre O, meet at P. If ?AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

    • Options
    • A. 6?3
    • B. 8?3
    • C. 9
    • D. 9?3
    • Discuss
    • 2. PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ?MQN is 48 cm2 , then what is the length (in cm) of PR ?

    • Options
    • A. 12?2
    • B. 12
    • C. 24
    • D. 24?2
    • Discuss
    • 3. The lengths of two diagonals of a rhombus are 24 cm and 32 cm. What is the side (in cm) of the rhombus?

    • Options
    • A. 20
    • B. 40
    • C. 60
    • D. 80
    • Discuss
    • 4. From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If ?BAC = 60°, then the value of ?BID is

    • Options
    • A. 60°
    • B. 80°
    • C. 75°
    • D. 45°
    • Discuss
    • 5. ABCD is an isosceles trapezium such that AD||BC, AB = 5 cm, AD = 8 cm and BC = 14 cm. What is the area (in cm2) of trapezium?

    • Options
    • A. 36
    • B. 44
    • C. 88
    • D. 144
    • Discuss
    • 6. The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

    • Options
    • A. 6
    • B. 9
    • C. 12
    • D. 18
    • Discuss
    • 7. If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

    • Options
    • A. 2?2
    • B. 3?2
    • C. 2?3
    • D. 3?3
    • Discuss
    • 8. The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?

    • Options
    • A. 35
    • B. 75
    • C. 150
    • D. 225
    • Discuss
    • 9. In triangle ABC, ?ABC = 90°. BP is drawn perpendicular to AC. If ?BAP = 30°, then what is the value (in degrees) of ?PBC?

    • Options
    • A. 30
    • B. 36
    • C. 45
    • D. 60
    • Discuss
    • 10. A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

    • Options
    • A. 25
    • B. 5
    • C. 0
    • D. 10
    • Discuss


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