Mathematical operation and symbol notation


Direction: In the following information question, the symbols @, ©, %, S and δ are used with the following meaning as illustrated below:
'P % Q' means 'P is greater than Q'
'P δ Q' means 'P is neither greater than smallest than Q'
'P @ Q' means 'P is smallest than Q'.
'p © Q' means 'P is either smallest than or equal to Q'
'P S Q' means 'P is either greater than or equal to 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. Statement :
    F @ R, R © V, V S T
    Conclusion :
    I. V % F II. F @ T











  1. View Hint View Answer Discuss in Forum

    F < R ...(i) R ≤ V ....(ii) V ≥ T ....(iii)
    From (i) and (ii) F < V ....(iv)
    Hence F > V and I follows
    But F and T can't be compared From (iii) and (iv)
    Hence II does not follow

    Correct Option: A

    F < R ...(i) R ≤ V ....(ii) V ≥ T ....(iii)
    From (i) and (ii) F < V ....(iv)
    Hence F > V and I follows
    But F and T can't be compared From (iii) and (iv)
    Hence II does not follow


  1. Statement :
    N S T, T δ H, N @ W
    Conclusion :
    I. W % T II. H © N











  1. View Hint View Answer Discuss in Forum

    N ≥ T ... (i) T = H ...(ii) N < w .....(iii)
    Combining these we get W > N ≥ T = H
    Hence W > T and I follows.
    Also H ≤ N and II follows

    Correct Option: E

    N ≥ T ... (i) T = H ...(ii) N < w .....(iii)
    Combining these we get W > N ≥ T = H
    Hence W > T and I follows.
    Also H ≤ N and II follows



Direction: In these following question, the symbols @, #,* and % are used with the different meaning as follow:
'A @ B' means 'A is not smallest than B'
'A # B' means 'A is neither smallest than nor equal to B.
'A S B' means 'A is neither than nor smallest than B.
'A * B' means "A is not greater than B'.
'A % B' means 'A is neither greater than or equal to B'
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:
    J @ K, K % M, M # T
    Conclusions:
    I. K % T II. K @ T











  1. View Hint View Answer Discuss in Forum

    J ≥ K ...(i) K < M ...(ii) M > T ...(iii)
    K and T can't be compared From (ii) and (iii) but either I (K < T) or II, (K ≥ T) must be true.

    Correct Option: C

    J ≥ K ...(i) K < M ...(ii) M > T ...(iii)
    K and T can't be compared From (ii) and (iii) but either I (K < T) or II, (K ≥ T) must be true.


  1. Statements:
    F # R, H % R, L * H
    Conclusions:
    I. F # L II. R @ L











  1. View Hint View Answer Discuss in Forum

    F > R ...(i) H < R ...(ii) L ≤ H ...(iii)
    Combining these we get F > R > H ≥ L
    Hence F > L and I follows
    Also R > L and II (R ≥ L) does not follows.

    Correct Option: A

    F > R ...(i) H < R ...(ii) L ≤ H ...(iii)
    Combining these we get F > R > H ≥ L
    Hence F > L and I follows
    Also R > L and II (R ≥ L) does not follows.



  1. Statements:
    N @ W, W # H
    Conclusions:
    I. H % N II. T # W











  1. View Hint View Answer Discuss in Forum

    N ≤ W ...(i) W = H ...(ii) H < T ...(iii)
    From (i) and (ii) W = N ≥ W > H or N > H ...(iv)
    Hence H < N and I follows.
    But T and W can't be compared from (ii) and (iii) Hence II does not follow.

    Correct Option: A

    N ≤ W ...(i) W = H ...(ii) H < T ...(iii)
    From (i) and (ii) W = N ≥ W > H or N > H ...(iv)
    Hence H < N and I follows.
    But T and W can't be compared from (ii) and (iii) Hence II does not follow.