P `alpha` Q means P is greater than Q.
P `beta` Q means P is either greater than or equal to Q.
P `gamma` Q means P is equal to Q.
p `delta` Q means P is smaller than Q.
p `eta` Q means P is either smaller than or equal to Q.
Statement: M `alpha` N, L `gamma` M, O `delta` N, L `eta` K
Conclusions: I. M `delta` K II. L `alpha` N

Options

A. only I is true,
B. only II is true,
C. if either I or II is true,
D. if both I and II are true.

Answer

D

Explanation

Given Statement: `M alpha N, L gamma M, O delta N, L eta K`
Conclusion I: `M delta K.`
It has two M and K. Now, out of the four statements given: M and K appear separately with a common term L in these two statements:
`L gamma M, L eta K.`
Hence, these are our relevent statements.
(ii) Conclusion II: `L alpha N`
It has two terms L and N. Now, L and N appear separately with a common term M in the following statements:
`M alpha N, L gamma M.`
Hence, these two are our relevant statements.