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: All numbers are divisible by 6
Analysis:
– The numbers are divisible by both 2 and 3
– 6 is the least common multiple (LCM) of 2 and 3
– Any number divisible by both 2 and 3 must be divisible by their LCM (6)
– Therefore, Conclusion-I is TRUE
Conclusion-II: All numbers are divisible by 4
Analysis:
– Just because a number is divisible by 2 and 3 doesn’t mean it’s divisible by 4
– Example: 6 is divisible by both 2 and 3, but not by 4
– Therefore, Conclusion-II is FALSE
