Comprehension
As per a survey conducted in a college out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys. Data regarding students opting for various streams viz., Non-Medical, Medical, Commerce, Arts and Fine Arts showed that 25% of the enrolled students opted non-medical and the percentage of girls in Non-Medical was 30% of the total number of girls; 15% of the total students opted for Medical and the percentage of girls who opted Medical was 18% of the total number of girls; 25% of the total students opted Arts but the percentage of girls who opted for Arts was 15% of the total number of girls; 16% of the total students opted Commerce and the percentage of girls who opted Commerce was 17% of the total number of girls, and; 19% of the total students opted Fine Arts and the percentage of girls who opted Fine Arts was 20% of the total number of girls.
Question: 1

How many girls have opted Non-Medical?

Updated On: Jul 14, 2026
  • 440
  • 365
  • 530
  • 510
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The Correct Option is D

Approach Solution - 1

The correct option is (D): 510.
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Approach Solution -2

The passage states that 30% of the total number of girls opted for the Non-Medical stream, and the total number of girls enrolled is 1,700. To find the number of girls in Non-Medical, we need 30% of 1,700. Let's check which option satisfies this:

  1. 440: Expressed as a percentage of 1,700 girls, 440 works out to about 25.9%, not the 30% stated in the data, so this option is inconsistent with the given information.
  2. 365: This figure is about 21.5% of 1,700 girls, well short of the required 30% share, so it does not fit.
  3. 530: This works out to roughly 31.2% of 1,700, which overshoots the stated 30% share and is therefore not correct.
  4. 510: Taking exactly 30% of 1,700 gives \( 0.30 \times 1700 = 510 \), which matches this option precisely.

Only the value 510 corresponds exactly to 30% of the total number of girls, matching the proportion given for the Non-Medical stream.

Therefore, the correct answer is 510.

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Question: 2

Girls have outnumbered boys in Fine Arts. How many girls in Fine Arts are more than the boys, as a percentage of total number of boys in Fine Arts?

Updated On: Jul 14, 2026
  • 49.62%
  • 47.82%
  • 51.23%
  • 50.89%
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The Correct Option is B

Approach Solution - 1

The correct option is (B): 47.82%.
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Approach Solution -2

Fine Arts has 570 total students (19% of 3,000), with 340 girls (20% of 1,700 total girls) and therefore 230 boys (570 minus 340). The question asks how many more girls than boys, expressed as a percentage of the boys, are in Fine Arts. Let's check each option against this:

  1. 49.62%: Applying this rate to 230 boys would give an excess of about 114 girls over boys, higher than the actual excess of 110 found from the data, so this is not correct.
  2. 47.82%: The actual excess of girls over boys is \( 340 - 230 = 110 \). Expressed as a percentage of the 230 boys, this is \( \frac{110}{230} \times 100 \approx 47.83\% \), which matches this option, allowing for rounding.
  3. 51.23%: This would imply an excess of roughly 118 girls, noticeably more than the actual 110-girl difference, so it overstates the gap.
  4. 50.89%: This would imply an excess of about 117 girls, again higher than the true difference of 110, so it does not fit the data.

Only 47.82% correctly reflects the excess of girls over boys in Fine Arts as a percentage of the number of boys.

Therefore, the correct answer is 47.82%.

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Question: 3

Which of the following courses have been opted by maximum number of boys?

Updated On: Jul 14, 2026
  • Non-Medical
  • Arts
  • Fine Arts
  • Commerce
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The Correct Option is B

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The correct option is (B): Arts.
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Approach Solution -2

To find which stream has the maximum number of boys, we need the boys' count in each stream. Since boys equal total students in the stream minus girls in that stream, let's work these out and check every option:

  1. Non-Medical: Non-Medical has 750 total students (25% of 3,000) with 510 girls (30% of 1,700), leaving \( 750 - 510 = 240 \) boys. This is far from being the largest.
  2. Arts: Arts also has 750 total students (25% of 3,000), but only 255 girls (15% of 1,700), leaving \( 750 - 255 = 495 \) boys, the highest count among all five streams.
  3. Fine Arts: Fine Arts has 570 total students (19% of 3,000) with 340 girls (20% of 1,700), leaving \( 570 - 340 = 230 \) boys, well below the Arts figure.
  4. Commerce: Commerce has 480 total students (16% of 3,000) with 289 girls (17% of 1,700), leaving \( 480 - 289 = 191 \) boys, the smallest among the streams listed here.

Comparing all five streams, Arts has the highest number of boys at 495, well ahead of the next-highest stream.

Therefore, the correct answer is Arts.

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Question: 4

Which of the following courses have been opted by minimum number of boys?

Updated On: Jul 14, 2026
  • Medical
  • Fine Arts
  • Commerce
  • Non-Medical
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The Correct Option is A

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The correct option is (A): Medical.
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Approach Solution -2

To identify the stream with the fewest boys, let's compute the boys' count for each option, using boys equal to total stream strength minus girls in that stream:

  1. Medical: Medical has 450 total students (15% of 3,000) and 306 girls (18% of 1,700), leaving \( 450 - 306 = 144 \) boys, the lowest figure among the four options.
  2. Fine Arts: Fine Arts has 570 total students (19% of 3,000) and 340 girls (20% of 1,700), leaving \( 570 - 340 = 230 \) boys, well above the Medical figure.
  3. Commerce: Commerce has 480 total students (16% of 3,000) and 289 girls (17% of 1,700), leaving \( 480 - 289 = 191 \) boys, still higher than Medical.
  4. Non-Medical: Non-Medical has 750 total students (25% of 3,000) and 510 girls (30% of 1,700), leaving \( 750 - 510 = 240 \) boys, the highest among these four.

Medical has the smallest total intake among the streams compared here, and combined with a relatively high share of girls, it ends up with the fewest boys of all.

Therefore, the correct answer is Medical.

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Question: 5

What is the ratio among boys and girls for Non-Medical?

Updated On: Jul 14, 2026
  • 3:17
  • 17:8
  • 8:17
  • 17:3
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The Correct Option is C

Approach Solution - 1

The correct option is (C): 8:17.
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Approach Solution -2

Non-Medical has 750 total students (25% of 3,000), of which 510 are girls (30% of 1,700), leaving \( 750 - 510 = 240 \) boys. We need the ratio of boys to girls in this stream. Let's check each option:

  1. 3:17: Scaling this ratio up to match 510 girls would give only about 90 boys, far fewer than the actual 240 boys in Non-Medical, so this is incorrect.
  2. 17:8: This ratio has more boys than girls, but Non-Medical actually has far more girls (510) than boys (240), so a ratio with boys larger than girls cannot be right.
  3. 8:17: Simplifying the actual figures, \( 240 : 510 \), by dividing both by 30 gives \( 8 : 17 \), which matches exactly.
  4. 17:3: Like option B, this again puts boys well ahead of girls, which contradicts the fact that Non-Medical has more than twice as many girls as boys.

Simplifying the boys-to-girls figures of 240 and 510 gives exactly 8:17.

Therefore, the correct answer is 8:17.

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