In a manufacturing unit, each device produces boxes in quantities that are always multiples of 4. Moreover, for packaging standards, only boxes that are also multiples of 6 are allowed to be dispatched.
Conclusions:
I. All dispatched boxes are divisible by 12.
II. All dispatched boxes are divisible by 8.

Which of the above conclusions logically follows?
(a) Only Conclusion I
(b) Only Conclusion II
(c) Neither Conclusion I nor Conclusion II
(d) Both Conclusion I and Conclusion II

Question

In a manufacturing unit, each device produces boxes in quantities that are always multiples of 4. Moreover, for packaging standards, only boxes that are also multiples of 6 are allowed to be dispatched.
Conclusions:
I. All dispatched boxes are divisible by 12.
II. All dispatched boxes are divisible by 8.

Which of the above conclusions logically follows?
(a) Only Conclusion I
(b) Only Conclusion II
(c) Neither Conclusion I nor Conclusion II
(d) Both Conclusion I and Conclusion II

ONLiNE UPSC · Accepted Answer

Any number divisible by both 4 and 6 must be divisible by LCM (4,6) = 12, but not necessarily by 8 ex- 12, 60 and so on.
So, Conclusion I follows not Conclusion II.

Hence, option a is correct.

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M Question 1	⏱ 0
In a manufacturing unit, each device produces boxes in quantities that are always multiples of 4. Moreover, for packaging standards, only boxes that are also multiples of 6 are allowed to be dispatched. Conclusions: I. All dispatched boxes are divisible by 12. II. All dispatched boxes are divisible by 8. Which of the above conclusions logically follows? (a) Only Conclusion I (b) Only Conclusion II (c) Neither Conclusion I nor Conclusion II (d) Both Conclusion I and Conclusion II