# 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.