Mathematical operation and symbol notation
Direction: In the following information question, the symbols @, ©, S, % and are used with the following meaning as illustrated below:
'P © Q' means 'P is either greater than or equal to Q'.
'P % Q' means 'P is either smallest than or equal to Q'.
'P @ Q' means 'P is neither smallest than nor greater to than Q'.
'P S Q' means 'P is smallest than Q'.
'P δ Q' means 'P is greater than Q'.
Now each of the following questions assuming the given statement to be true, find which of the three conclusions I and II given below them is are definitely true.
- Statements:
J δ D, D @ N, N % F
Conclusions:
I. J δ F II. F © D
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J > D ...(i) D = N ...(ii) N ≤ F ...(iii)
From (ii) and (iii) D = N ≤ F or F ≥ D ...(iv)
Hence II follows.
From (i) and (iv) R and (iv) J and F can't be compared.
Hence I does not follow.Correct Option: B
J > D ...(i) D = N ...(ii) N ≤ F ...(iii)
From (ii) and (iii) D = N ≤ F or F ≥ D ...(iv)
Hence II follows.
From (i) and (iv) R and (iv) J and F can't be compared.
Hence I does not follow.
- Statements:
R S J, J δ F, F % H
Conclusions:
I. H δ J II. R S F
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R < J ...(i) J > F ...(ii) F ≤ H ...(iii)
From (ii) and (iii) H and J can't be compared.
Hence I does not follow
From (i) and (ii) R and F can't be compared.
Hence II does not followCorrect Option: D
R < J ...(i) J > F ...(ii) F ≤ H ...(iii)
From (ii) and (iii) H and J can't be compared.
Hence I does not follow
From (i) and (ii) R and F can't be compared.
Hence II does not follow
- Statements:
B @ N, N © T, T S K
Conclusions:
I. T @ B II. T S B
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B = N ...(i) N ≥ T ...(ii) T > K ...(iii)
From (i) and (ii) B = N ≥ T or T ≤ B,
Hence I either (T = B) or II (T < B) followsCorrect Option: C
B = N ...(i) N ≥ T ...(ii) T > K ...(iii)
From (i) and (ii) B = N ≥ T or T ≤ B,
Hence I either (T = B) or II (T < B) follows
- Statements:
H © T, T % M, M δ F
Conclusions:
I. F S T II. H δ M
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H ≥ T ...(i) T ≤ M ...(ii) M > F ...(iii)
From (i) and (ii) H and M can't be compared. Hence II does not follow
From (ii) and (iii) F and T can't be compared. Hence I does not followCorrect Option: D
H ≥ T ...(i) T ≤ M ...(ii) M > F ...(iii)
From (i) and (ii) H and M can't be compared. Hence II does not follow
From (ii) and (iii) F and T can't be compared. Hence I does not follow