Statements & Conclusions · Question 10 · Medium

Statements & Conclusions question 10

Statement: In a class of 40 students, every student passed in at least one of Maths and Science. 25 students passed in Maths and 30 passed in Science.
Conclusions:
I. Exactly 15 students passed in both subjects.
II. Some students failed in Maths.
Which of the conclusions logically follow(s) from the statement?

  1. Only conclusion I follows
  2. Only conclusion II follows
  3. Both I and II follow
  4. Neither I nor II follows
Answer and explanation

Answer: C. Both I and II follow

Explanation: Both = 25 + 30 − 40 = 15, so I follows. Only 25 of the 40 passed in Maths, so 15 students failed in Maths and II follows.

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