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Ratio and Proportion problems


  • 1. Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

  • Options
  • A. 5/9
  • B. 1/35
  • C. 45/7
  • D. 7/45
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  • 2. If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

  • Options
  • A. 1 : 2
  • B. 1 : 4
  • C. 1 : 7
  • D. 1 : 8
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  • 3. If 2r = h + r2+h2 , then the ratio of r:h is

  • Options
  • A. 1 : 2
  • B. 2 : 3
  • C. 4 : 3
  • D. 3 : 5
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  • 4. In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5:3. The number of girls to be added in the union, so that the number of boys to girls in 6:5 is

  • Options
  • A. 6
  • B. 7
  • C. 12
  • D. 17
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  • 5. Find the third proportional to 6 and 12.

  • Options
  • A. 18
  • B. 9
  • C. 24
  • D. 15
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  • 6. According to the will the wealth of Rs 21,25,000 was to be divided between the son and the daughter in the ratio 7/6 : 5/3. How much did the son get (in Rs)?

  • Options
  • A. 875000
  • B. 12,50,000
  • C. 10,00,000
  • D. 11,25,000
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  • 7. If Rs 25,000 is to be divided between A, B and C in the ratio 1/10 : 1/6 : 1/15, then how much will C get (in Rs)?

  • Options
  • A. 5000
  • B. 7500
  • C. 10000
  • D. 12500
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  • 8. Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?

  • Options
  • A. 81
  • B. 86
  • C. 76
  • D. 91
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  • 9. The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cm and 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?

  • Options
  • A. 1 : 4 : 8
  • B. 1 : 3 : 5
  • C. 1 : 3 : 9
  • D. 1 : 6 : 12
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  • 10. If 3A = 6B = 9C; What is A : B : C

  • Options
  • A. 6 : 3 : 1
  • B. 6 : 3 : 2
  • C. 9 : 3 : 6
  • D. 9 : 3 : 1
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