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Question

In the first 5 overs of a T-20 international cricket match, the run rate was only 5.6. What should be the run rate (approximately) in the remaining 15 overs to reach a target of 185 runs?

The correct answer is

10.46

Runs scored in first 5 overs = 5.6 × 5 = 28

Runs needed in remaining 15 overs = 185 − 28 = 157

Required run rate = 157 ÷ 15 = 10.46

Thus, the correct answer is 10.46.

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Important Questions from Ratio and proportion

  1. A’s marks in Mathematics are directly proportional to practice time. In 6 hours of practice, A gets 70 marks. What should be the practice time (approximately) to get 90 marks?

  2. The average of the areas of 2 similar triangles is 706.5 m2 whose perimeters are in the ratio of 6 : 11. What is 20% of the difference (in m2) in areas of both triangles?

  3. In a triangle ABC, D and E are two points on sides AB and AC, respectively, such that DE is parallel to BC and AD : DB = 3 : 5. If AC = 5.6 cm, then find the value (in cm) of AE.

  4. In a triangle ABC, P and Q are two points on AB and AC, respectively, such that PQ is parallel to BC. If AC = 5QC, then the ratio PQ : BC is equal to:

  5. Find the mean proportional between 25 and 81.

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