Mathematical operation and symbol notation
Direction: In the following information question, the symbol S, %, @, © and are used with the following meaning as illustrated below:
'P % Q' means 'P is smallest than Q'.
'P % Q' means 'P is not greater Q'.
'P * Q' means 'P is neither greater than nor equal to Q'.
'P © Q' means 'P is neither smallest than nor equal to Q'.
'P @ Q' means 'P is neither greater than nor smallest than Q'.
- Statements:
J © M, M * K, K % D
Conclusions:
I. J © D, II. D * M III. K © J
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J > M ...(i) M < K ...(ii) K ≥ D ...(iii)
From (i) and (ii) J and K can't be compared and consequently J and D can't be compared. Hence neither III nor I follows. From (ii) and (iii) D and M can't be compared
Hence II does not follow.Correct Option: A
J > M ...(i) M < K ...(ii) K ≥ D ...(iii)
From (i) and (ii) J and K can't be compared and consequently J and D can't be compared. Hence neither III nor I follows. From (ii) and (iii) D and M can't be compared
Hence II does not follow.
Direction: In these questions, relationships between different elements is shown in the statement. The statement is followed by two conclusions. Study the conclusions based on the given statement and select the appropriate answer.
- Statement ::
K ≥ L > M ≥ N
Conclusions ::
I. N ≤ K
II. N < K
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K ≥ L > M ≥ N
Conclusions
I. N ≤ K (x)
II. N < K (✔)
Thus, only Conclusion II follows.Correct Option: E
K ≥ L > M ≥ N
Conclusions
I. N ≤ K (x)
II. N < K (✔)
Thus, only Conclusion II follows.
Direction: In the following questions, the symbols δ, $, ∗ , @ and © are used with the meaning as indicated below.
'P $ Q' means 'P is neither equal to nor greater than Q'.
'P © Q' means 'P is neither equal to nor smaller than Q'
'P δ Q' means 'P is neither greater than nor smaller to Q'.
'P @ Q' means 'P is not smaller than Q'.
'P ∗ Q' means 'P is not greater than Q'.
in each question, three statements showing relationship, have been given , which are followed by three Conclusions I, II and III. Assuming that the given statements to be true, find out which conclusion(s) is/are definitely true.
- Statements
W δ K, K © F, F $ M
Conclusions
I. M © K
II. W @ F
III. F @ W
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Statements
W δ K ⇒ W = K,
K © F ⇒ K > F, F $ M ⇒ F < M
So, W = K > F < M
Conclusions
I. M © K ⇒ M > K (false)
II. W @ F ⇒ W ≥ F (false)
III. F @ W ⇒ F ≥ w (false)Correct Option: E
Statements
W δ K ⇒ W = K,
K © F ⇒ K > F, F $ M ⇒ F < M
So, W = K > F < M
Conclusions
I. M © K ⇒ M > K (false)
II. W @ F ⇒ W ≥ F (false)
III. F @ W ⇒ F ≥ w (false)
So, no conclusion is true from the given statements.
- Statements
D $ M, M ∗ B, B δ J
Conclusions
I. J © D
II. B @ D
III. J @ M
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Statements
D $ M ⇒ D < M,
M H B ⇒ M ≤ B, B δ J ⇒ B = J
So, D < M ≤ B = J
Conclusions
I. J © D ⇒ J > D (true)
II. B @ D ⇒ B ≥ D (false)
III. J @ M ⇒ J ≥ M (true)Correct Option: B
Statements
D $ M ⇒ D < M,
M H B ⇒ M ≤ B, B δ J ⇒ B = J
So, D < M ≤ B = J
Conclusions
I. J © D ⇒ J > D (true)
II. B @ D ⇒ B ≥ D (false)
III. J @ M ⇒ J ≥ M (true)
So, Conclusion I and III are true from the given statements.
- Statements
B © N, N @ R, F ∗ R
Conclusions
I. B © R
II. F ∗ N
III. R $ B
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Statements
B © N ⇒ B > N,
N @ R ⇒ N ≥ R, F H R ⇒ F ≤ R
So, B > N ≥ R ≥ F
Conclusions
I. B © R ⇒ B > R ( true)
II. F H N ⇒ F ≤ N (true)
III. R $ B ⇒ R < B (true)Correct Option: D
Statements
B © N ⇒ B > N,
N @ R ⇒ N ≥ R, F H R ⇒ F ≤ R
So, B > N ≥ R ≥ F
Conclusions
I. B © R ⇒ B > R ( true)
II. F H N ⇒ F ≤ N (true)
III. R $ B ⇒ R < B (true)
So, all I, II and III are true from the given statements.
