Mathematical operation and symbol notation


  1. Statements:
    B % H, H S E, E @ K
    Conclusions:
    I. K S H II. K S B III. E © B
    1. None is true
    2. Only III is true
    3. Only II is true
    4. Only I is true
    5. Only I and III are true

  1. View Hint View Answer Discuss in Forum

    B = H ...(i) H > E ...(ii) E ≤ K ...(iii)
    From (i) and (ii) B = H > E or E < B
    Hence III follows.
    From (ii) and (iii) H and K can't be compared.
    Hence I does not follow. Nor can II follow.

    Correct Option: B

    B = H ...(i) H > E ...(ii) E ≤ K ...(iii)
    From (i) and (ii) B = H > E or E < B
    Hence III follows.
    From (ii) and (iii) H and K can't be compared.
    Hence I does not follow. Nor can II follow.


  1. Statements:
    F @ N, N © D, D @ R
    Conclusions:
    I. D # F II. R S N III. R S F
    1. None is true
    2. Only I is true
    3. Only II is true
    4. Only III is true
    5. Only II and III are true

  1. View Hint View Answer Discuss in Forum

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

    Correct Option: C

    F ≥ N ...(i) N < D ...(ii) D ≤ R ...(iii)
    From (i) and (ii) F and can't be compared.
    Hence I does not follow.
    From (ii) and (iii) N < D ≤ R or R > N ...(iv)
    Hence II follows. From (i) and (iv) R and F can't be compared. Hence III 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 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:
    F S B, B @ H, H % K
    Conclusions:
    I. B % F II. K @ F II. K S B
    1. Only I is true
    2. Only II is true
    3. Only III is true
    4. Only I and III are true
    5. None of these

  1. View Hint View Answer Discuss in Forum

    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.


  1. Statements:
    M % D, D * K, K S N
    Conclusions:
    I. K © M II. N © D III. M © N
    1. Only I is true
    2. Only II is true
    3. Only III is true
    4. Only I and II are true
    5. None of these

  1. View Hint View Answer Discuss in Forum

    M ≥ D ...(i) D< K ...(ii) K ≤ N ...(iii)
    From (i) and (ii) K and M can't be compared.
    Hence I does not follow.
    From (ii) and (iii) D < K ≤ N or N > D.
    Hence II follows. From (i) and II, M and N can't be compared. Hence III does not follow.

    Correct Option: B

    M ≥ D ...(i) D< K ...(ii) K ≤ N ...(iii)
    From (i) and (ii) K and M can't be compared.
    Hence I does not follow.
    From (ii) and (iii) D < K ≤ N or N > D.
    Hence II follows. From (i) and II, M and N can't be compared. Hence III 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.

  1. Statements:
    R % N, N # F, F @ B
    Conclusions:
    I. F © R II. B S N
    1. if only conclusion I is true
    2. if only conclusion II is true
    3. if either conclusion I or conclusion II is true
    4. if neither conclusion I nor conclusion II is true
    5. if both conclusion I and II are true

  1. View Hint View Answer Discuss in Forum

    R ≤ N ...(i) N ≥ F ...(ii) F > B ...(iii)
    From (i) and (ii) F and R can't be compared. Hence I does not follow.
    Combing (ii) and (iii) we get N ≥ F > B or N > B or B < N. Hence II follows.

    Correct Option: B

    R ≤ N ...(i) N ≥ F ...(ii) F > B ...(iii)
    From (i) and (ii) F and R can't be compared. Hence I does not follow.
    Combing (ii) and (iii) we get N ≥ F > B or N > B or B < N. Hence II follows.