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 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

1 Answer

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Best answer
Correct Answer - Option 1 : Only Conclusion - I

Statements : 
All numbers are divisible by 2.

All numbers are divisible by 3.

 Conclusions: 
1) All numbers are divisible by 6. (True)

Least common multiple (LCM) of 2 and 3 is 6. Therefore, if the numbers are divisible by 2 and 3 both then the numbers are definitely divisible by 6.

2) All numbers are divisible by 4. (False)

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.

Hence, Only Conclusion - I follows.

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