In which of the following expression will the expression ' A < D' be definitely true?

Correct Answer: H < K

Explanation:

Now, we can check all the options one by one
(a) F ? K......(false)
(b) H < K .......(true)
(c) F < G ......(false)
(d) K ? H ......(false)
So, it clear that option (b) true ,

Correct Answer: if only Conclusion II follows

Explanation:

Given that,
i. P > M > Q
ii. Q > Z > N
On combining the statement (i) and (ii) we get
P > M > Q > Z > N
Conclusions
I. M ? Z       (false)
II. N < P       (true)
So, it is clear that only Conclusion II follows from the given statements.

Correct Answer:

Explanation:

Given that,
A < B < C ? D = E
Here, statements are already combined.
Conclusions
I. B ? E       (false)
II. B < E       (true)
So, it is clear that only Conclusion II follow from the given statements.

Correct Answer: if neither Conclusion I nor II follows

Explanation:

Given that,
H < J ..............(i)
F < H ..............(ii)
I ? J = K ......(iii)
On combining the statement (i), (ii) and (iii), we get
F < H < J = K ? I
Conclusions
I. H > I (false)
II. I ? F(false)
So, it is clear that neither Conclusion i nor II follows the given statements.

Correct Answer:

Explanation:

Given that,
A > B     .....(I)
B = H     .....(ii)
H > G     ...(iii)
On combining the statement (i), (ii) and (iii), we get
A > B = H > G
Conclusions
 I. A > G     (true)
II. A > H     (true)
So, it is clear that both Conclusions I and II follow from the given statements.

Correct Answer:

Explanation:

We can check all the options one by one.
from option (a),
M = P > Q > R ? M > R
So, expression M > R holds true for option (a).
From option (b),
M > P ? Q = R ? M > R
So, expression M > R holds true for option (b).
From option (c).
R = P < Q < M ? R < M
So, expression M > R holds true for option (c).
From option (d),
R < Q ? P = M ? R < M
So, expression M > R holds true for option (d)
From option (e),
M = P < Q = R ? M < R
So, expression M > R does not hold true for option (e).

Correct Answer: If only Conclusions I is true

Explanation:

Given that,
H ? I = J > K ? L
Here, statements are already combined
H ? I = J > K means H > K
Conclusions
I. K < H     (true)
II. L ? I     (false)
So, it is clear that only Conclusion I follows from the given statements.

Correct Answer: if only Conclusion I is true

Explanation:

Given that
S > C ? O ....(i)
P < C ...............(ii)
On combined the statement (i) and (ii), we get
S > C > P
P < C ? O
Conclusions
I. O < P............... (false)
II. S > P ................ (true)
So, it is clear that only Conclusion II follow from the given statements.

Correct Answer:

Explanation:

Given that,
A = B ? C ................(i)
A > R .........................(II)
On combining the statements (i) and (ii), we get
R < A = B ? C
Conclusion
I. B > R. .................(true)
II. R < C .................(true)
So, it is clear that both Conclusions I and II follow from the given statements.

Correct Answer: if neither Conclusion I nor II is true

Explanation:

Given that,
D > E ? F ..............(i)
J < F .........................(ii)
On combining the statements (i) and (ii), we get
D > E ? F > j
Conclusions
I. D > J       (false)
II. E < J       (false)
So, it is clear that neither Conclusion I nor II is true .