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Home Aptitude Volume and Surface Area Comments

  • Question
  • 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

  • Correct Answer
  • 30 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • Discuss
    • 5. 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
    • 6. 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
    • 7. Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?

    • Options
    • A. 12325
    • B. 18750
    • C. 21000
    • D. 24350
    • Discuss
    • 8. The side BC of ?ABC is produced to D. If ?ACD = 114° and ?ABC= (1/2)?BAC, then what is the value (in degrees) of ?BAC?

    • Options
    • A. 36
    • B. 48
    • C. 76
    • D. 84
    • Discuss
    • 9. O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ?AOP = 50°, then what is the value (in degrees) of ?APB?

    • Options
    • A. 60
    • B. 80
    • C. 90
    • D. 100
    • Discuss
    • 10. In ?PQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

    • Options
    • A. 18
    • B. 28
    • C. 32
    • D. 36
    • Discuss


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