Two Statements are given followed by two Conclusions: Statements: All numbers are divisible by 2. All…

Two Statements are given followed by two Conclusions: Statements: All numbers are divisible by 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

Solution

If all numbers are divisible by 2 and by 3, then they are divisible by the LCM of 2 and 3, which is 6. So Conclusion-I follows. Divisibility by 2 and 3 does not imply divisibility by 4 (e.g. 6 is divisible by 2 and 3 but not by 4). So Conclusion-II does not follow. Only Conclusion-I follows.

Asked in: CSAT 2020

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