## Mathematical operation and symbol notation

#### 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'.

1. Statements:
J © M, M * K, K % D
Conclusions:
I. J © D, II. D * M III. K © J

1. 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.

1. Statements:
R @ K, K S F, F * N
Conclusions:
I. N © R, II. F @ R, III. F © R

1. R = K ...(i) K ≤ F ... (ii) F < K ...(iii)
Combining these we get R = K ≤ F < N.
Hence K > R and I follow.
Also F ≥ R. Hence either II (F = R) or III (F = R) and follows.

##### Correct Option: C

R = K ...(i) K ≤ F ... (ii) F < K ...(iii)
Combining these we get R = K ≤ F < N.
Hence K > R and I follow.
Also F ≥ R. Hence either II (F = R) or III (F = R) and follows.

1. Statements:
R S D, D @ N, N © F
Conclusions:
I. F * D II. F * R III. N % R

1. R ≤ D ...(i) D = N ...(ii) N > F ...(iii)
From (ii) and (iii) D = N > F or F < D ...(iv)
Hence I follow
From (i) and (iv) F and R can't be compared Hence II does not follow.

##### Correct Option: B

R ≤ D ...(i) D = N ...(ii) N > F ...(iii)
From (ii) and (iii) D = N > F or F < D ...(iv)
Hence I follow
From (i) and (iv) F and R can't be compared Hence II does not follow.

1. Statements:
H * T, T S B, B © R
Conclusions:
I. R © H II. B © H III. T % R

1. H < T ...(i) T ≤ B ...(ii) B > R ...(iii)
From (i) and (ii) we get H < T ≤ B or B > H.
Hence III does not follow.

##### Correct Option: E

H < T ...(i) T ≤ B ...(ii) B > R ...(iii)
From (i) and (ii) we get H < T ≤ B or B > H.
Hence III does not follow.

Direction: In the following information question, the symbol @, © S, %, and are used with the following meaning as illustrated below: Andhra Bank
'P S Q' means 'P is neither smallest than nor equal to Q'.
'P # Q' means 'P is not smallest than Q'.
'P @ Q' means 'P is not greater than Q'.
'P % Q' means 'P is neither smallest than nor greater than Q'.
'P © Q' means 'P is neither greater than nor equal to Q'.
In each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is are definitely true.

1. Statements:
M © T, T # J, J S K
Conclusions:
I. K © T II. M © J III. K @ M

1. M < T ...(i) T ≥ J ...(ii) J > K ...(iii)
From (ii) and (iii) T ≥ J > K or K < T.
Hence I follows.
From (i) and (ii) M and J can't be compared. Hence II does not follows.Nor can III follows.

##### Correct Option: D

M < T ...(i) T ≥ J ...(ii) J > K ...(iii)
From (ii) and (iii) T ≥ J > K or K < T.
Hence I follows.
From (i) and (ii) M and J can't be compared. Hence II does not follows.Nor can III follows.