All numbers are divisible by 2

Two statements are given followed by two Conclusions:

Statements:

  1. All numbers are divisible by 2.
  2. All numbers are divisible by 3.

Conclusion I:

All numbers are divisible by 6.

Conclusion II:

All numbers are divisible by 4.

Which of the above Conclusions logically follows/follow from the two given Statements?

  1. Only Conclusion I
  2. Only Conclusion II
  3. Neither Conclusion I nor Conclusion II
  4. Both Conclusion-I and Conclusion II

Answer: A

Explanation

Given statements are:

  1. All numbers are divisible by 2
  2. All numbers are divisible by 3

Conclusion I is true, because all numbers which are divisible by 2 and 3 must also be divisible by 6.

Conclusion II is false, because all numbers which are divisible by 2 and 3 need not be divisible by 4.

Hence, only conclusion l logically follows.

  • Exam Year: 2020