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:
F S B, B @ H, H % K
Conclusions:
I. B % F II. K @ F II. K S B
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F ≤ B ...(i) B = H ...(ii) H ≥ K ... (iii)
From (i) B F. Hence I follows.
From (ii) and (iii) B = H ≥ K or B ≥ K or K ≤ B can't be compared. Hence II does not follow.Correct Option: D
F ≤ B ...(i) B = H ...(ii) H ≥ K ... (iii)
From (i) B F. Hence I follows.
From (ii) and (iii) B = H ≥ K or B ≥ K or K ≤ B can't be compared. Hence II does not follow.
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 smallest than nor equal to Q'.
'P S Q' means 'P is neither greater than nor equal to Q'.
'P © Q' means 'P is neither smallest than greater nor greater than Q'.
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.
- Statements:
M S T, T @ K, K © D
Conclusions:
I. D S T II. K S M
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M < T ... (i) T > K ...(ii) K = D ...(iii)
From (ii) and (iii) T > K = D or D < T.
Hence I follow
From (i) and (ii) K and M can't be compared
Hence II does not followCorrect Option: A
M < T ... (i) T > K ...(ii) K = D ...(iii)
From (ii) and (iii) T > K = D or D < T.
Hence I follow
From (i) and (ii) K and M can't be compared
Hence II does not follow
- Statements:
F # K, K S B, B % M
Conclusions:
I. M @ F II. B @ F
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F ≥ K ...(i) K > B ....(ii) B ≤ M ...(iii)
From (i) and (ii) F can't be compared with B and consequently with M. Hence neither II nor I follows.Correct Option: D
F ≥ K ...(i) K > B ....(ii) B ≤ M ...(iii)
From (i) and (ii) F can't be compared with B and consequently with M. Hence neither II nor I follows.
- Statements:
H @ W, W S M, M # K
Conclusions:
I. K S W II. H @ M
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H > W ...(i) W > M ..(ii) M ≥ K ....(iii)
From (ii) and (iii) K and W can't be compared
Hence I does not follow.
From (i) and (ii) H and M can't be compared
Hence II does not followCorrect Option: D
H > W ...(i) W > M ..(ii) M ≥ K ....(iii)
From (ii) and (iii) K and W can't be compared
Hence I does not follow.
From (i) and (ii) H and M can't be compared
Hence II does not follow
- Statements:
M # W, W % N, N S B
Conclusions:
I. N % M II. N © M III. M S B
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M ≥ W ...(i) W = N ...(ii) N > B ...(iii)
Combining these we get M ≥ W = N > B.
Hence M ≥ N or N ≤ M,
Which means either I (N = M) or II (N < M) follows.
Also M > B and II (M ≤ D) Hence III definitely true.Correct Option: C
M ≥ W ...(i) W = N ...(ii) N > B ...(iii)
Combining these we get M ≥ W = N > B.
Hence M ≥ N or N ≤ M,
Which means either I (N = M) or II (N < M) follows.
Also M > B and II (M ≤ D) Hence III definitely true.
