Statements & Conclusions · Question 23 · Medium

Statements & Conclusions question 23

Statement: In an office of 50 employees, 30 employees travel to work by metro and 28 travel by bus.
Conclusions:
I. At least 8 employees travel by both metro and bus.
II. At most 28 employees travel by both metro and bus.
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: 30 + 28 = 58 exceeds 50, so at least 58 − 50 = 8 use both (I). The overlap cannot exceed the smaller group of 28 (II). Both follow.

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