CSAT 2020

Q. Two Statements are given followed by two Conclusions:
Statements:
All numbers are divisible by 2.
All numbers are divisible by 3.

Conclusion-l
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?
(a) Only Conclusion-l
(b) Only Conclusion-II
(c) Neither Conclusion-I nor conclusion-Il
(d) Both Conclusions-I and Conclusion-II
Correct Answer: (a) Only Conclusion-l

Question from UPSC Prelims 2020 CSAT Paper

Explanation :

Conclusion-I states that all numbers are divisible by 6. This conclusion is true because 6 is the least common multiple of 2 and 3. Therefore, any number that is divisible by both 2 and 3 must also be divisible by 6.

Conclusion-II All numbers are divisible by 4.

All numbers that are divisible by 2 and 3 may not be divisible by 4. For example, 6 is divisible by 2 and 3 but not divisible by 4.

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