Comprehension
The bar graph below shows the highest score of different teams when they play for different cups. These are the four cups played by 4 teams in a year. Each team plays only one game against each team in each level. The team that won least number of matches is knocked out. The scores given in the graph are highest scores scored in any of the matches playing for that respective cup in a stipulated 50 overs cricket match.
Question: 1

If the given highest scores is taken, what is the least % share of Australia in the total scores of each Cup?

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Add each Cup's four scores, then find Australia's share of that total for every Cup.
Updated On: Jul 21, 2026
  • 21%
  • 23.9%
  • 24.7%
  • 26.8%
Show Solution

The Correct Option is C

Solution and Explanation

A quicker way avoids full division for every cup. Since one quarter of a total equals 25% of it, compare Australia's score with one quarter of each Cup total.

  1. Cup A: one quarter of 1228 is 307. Australia scored 309, just above one quarter, so the share is slightly over 25%.
  2. Cup B: one quarter of 1215 is 303.75. Australia scored 300, below one quarter, so the share is under 25%. Working it out gives about 24.7%.
  3. Cup C: one quarter of 1090 is 272.5. Australia scored 275, above one quarter, giving about 25.2%.
  4. Cup D: one quarter of 1245 is 311.25. Australia scored 330, well above one quarter, giving about 26.5%.

Only Cup B falls below the 25% mark, so it holds the least share at about 24.7%, matching option (c).

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Question: 2

In which Cup the % of increase in highest score of Sri Lanka is high when compared to the highest score in previous Cup?

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Compare each Cup's Sri Lanka score with the Cup right before it, and ignore any drop.
Updated On: Jul 21, 2026
  • Cup A
  • Cup B
  • Cup C
  • Cup D
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The Correct Option is B

Solution and Explanation

Instead of computing every percentage first, look at the raw score jumps and their starting bases.

  1. Cup A to Cup B: score rises from 280 to 320, a jump of 40 runs on a small base of 280, which gives a large percentage jump.
  2. Cup B to Cup C: score falls from 320 to 300, so this is a drop, not an increase, and is ruled out immediately.
  3. Cup C to Cup D: score rises from 300 to 315, a jump of only 15 runs on a base of 300, a much smaller percentage jump.

The 40 run jump on the smaller base of 280 easily beats the 15 run jump on the base of 300, so Cup B carries the highest percentage rise, matching option (b).

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Question: 3

After the completion of tournament for cup A each team is given a rank based on their highest scores. If the highest score of India is same as the highest score of South Africa playing for cup C, what is the rank of team India playing for cup A?

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Swap India's Cup A score for South Africa's Cup C score, then rank the four Cup A scores.
Updated On: Jul 21, 2026
  • 1
  • 2
  • 3
  • 4
Show Solution

The Correct Option is D

Solution and Explanation

Build the picture directly instead of listing every rank in order.

  1. Fix the new India value: South Africa's Cup C score is 255, so this becomes India's stand in score for Cup A.
  2. Check it against each rival: 255 is less than Australia's 309, less than South Africa's 315, and less than Sri Lanka's 280.
  3. Conclusion: since 255 is lower than all three other Cup A scores, India cannot beat any team, so it must occupy the last position among the four teams.

India therefore ranks fourth in Cup A once its score is swapped for 255, matching option (d).

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Question: 4

If the highest scores of all teams in each cup is taken, what is the ratio of total runs scored by Sri Lanka and India in all the cups?

Show Hint

Add each team's four cup scores separately, then write the two totals as a ratio.
Updated On: Jul 21, 2026
  • 218 : 243
  • 238 : 249
  • 218 : 249
  • 1215 : 1159
Show Solution

The Correct Option is D

Solution and Explanation

Pair the two teams cup by cup, then combine the pairs, instead of totaling each column separately first.

  1. Cup A pair: Sri Lanka 280 against India 324.
  2. Cup B pair: Sri Lanka 320 against India 285.
  3. Cup C pair: Sri Lanka 300 against India 260.
  4. Cup D pair: Sri Lanka 315 against India 290.

Adding the left side of every pair gives Sri Lanka's total of 1215, and adding the right side gives India's total of 1159. Placing these side by side gives the ratio 1215 to 1159, matching option (d).

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Question: 5

If the runs scored by Australia and South Africa for cup B are of a final match, what is the required run rate of Australia to win the match playing all the stipulated overs?

Show Hint

Find the target Australia must chase and divide it by the 50 overs.
Updated On: Jul 21, 2026
  • 6.1
  • 6.15
  • 6.22
  • 6.34
Show Solution

The Correct Option is C

Solution and Explanation

Think of it as a simple target divided by overs problem, built from the winning margin rule.

  1. Winning margin: a chasing team must score at least one run more than the total it is chasing, so the target for Australia is South Africa's 310 plus 1, which is 311.
  2. Overs available: the match is played over the full stipulated 50 overs, since the question asks for the rate across the whole innings, not a chase already in progress.
  3. Rate needed: dividing the target of 311 by 50 overs gives 6.22 runs per over.

So Australia must maintain a run rate of 6.22 through all 50 overs to reach 311 and win, matching option (c).

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  • IBSAT
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