Comprehension
Study the given information to answer the questions that follow.
There are two coaching institutions in a town, institution A and institution B, the total number of students in both institutions are 1350. The ratio of the students in institution A to that of institution B is 7: 8. There are only three classes in each Institution, Class X, Class Y and 76 Class Z. In institution A, 70% students are boys and the rest are girls, whereas in institution B the ratio of boys to girls is 11 : 7. In institution A, 4 7 of the total girls enrolled in Class Y,8/9 of the remaining enrolled in Class Z and rest in Class X. Out of the total boys in institution A, 42 6/7% enrolled in class X, 44 4/9% of the remaining in Class Y and the rest in Class Z. In Institution B, 4/11 of the total boys enrolled in class Y, and the number of boys enrolled in class Z is 5% more than the boys enrolled in class Y and rest in class X. one-fourth of the total girls are enrolled in class Z, and the number of girls enrolled in class X is 10% more than the girls enrolled in class Y.
Question: 1

What is the difference between the number of boys enrolled in Class Y in institution B and the number of girls enrolled in Class X in institution A?

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For data interpretation questions with a large passage, create a summary table of all calculated values first. This prevents re-reading and saves time.
Updated On: Feb 14, 2026
  • 112
  • 136
  • 148
  • 124
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The Correct Option is D

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Question: 2

Find the total number of students enrolled in class Y of both institutions.

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Break down the problem into smaller parts: find the total for each institution first, then add them up. This reduces the chance of calculation errors.
Updated On: Feb 14, 2026
  • 410
  • 440
  • 560
  • 480
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The Correct Option is D

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Question: 3

The number of boys enrolled in class X in institution A is what percentage more than the number of girls enrolled in class Y in institution B?

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When calculating "what percentage more than Y is X?", the denominator is always Y. Be careful not to mix up the base value for the percentage calculation.
Updated On: Feb 14, 2026
  • 69%
  • 76%
  • 89%
  • 56%
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The Correct Option is C

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Question: 4

The total number of boys enrolled in classes X and Y in institution A is what percentage of the total number of girls enrolled in classes Y and Z in institution B (rounded off to the integer)?

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When a question requires rounding, perform the rounding only at the very last step to ensure accuracy.
Updated On: Feb 14, 2026
  • 182
  • 172
  • 187
  • 177
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The Correct Option is D

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