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CAT 2007 — DILR Question 2

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Passage / Data

Answer the following question based on the information given below.

The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.

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In Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of female vegetarians and male non-vegetarians?

Answer & solution

Correct answer: 16

  • A

    less than 8

  • B

    10

  • C

    12

  • D

    14

  • 16

Solution

Vegetarian Males in Class 12 = 0.25 × 32 = 8

∴ Non-vegetarian Males in class 12 = 48 – 8 = 40

∴ Vegetarian females in class 12 = Vegetarians in class 12 – Male vegetarians in class 12

= 32 – 8 = 24 (We derived the number of vegetarians in the class in the previous question)

∴ Required difference = 40 – 24 = 16

Hence, option (e).

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CAT 2007 DILR Q2: In Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of fe — Solution | TheCATExam