Mathematical operation and symbol notation


  1. Statements
    P < Q > T,
    R ≥ Q.
    Conclusions
    I. R > P
    II. T < R
    1. if only Conclusion I is true
    2. if only Conclusion II is true
    3. if either Conclusion I or II is true
    4. if neither Conclusion I nor II is true
    5. if both Conclusion I and II are true

  1. View Hint View Answer Discuss in Forum

    Given that,
    P < Q > T ...................(i)
    R ≥ Q ......................(ii)
    On combining the statements (i) and (ii), we get
    P < Q ≤ R
    R ≥ Q > T
    Conclusions
    I. R > P
    II. T < R

    Correct Option: E

    Given that,
    P < Q > T ...................(i)
    R ≥ Q ......................(ii)
    On combining the statements (i) and (ii), we get
    P < Q ≤ R
    R ≥ Q > T
    Conclusions
    I. R > P ...... (true)
    II. T < R .......(true)

    So, it is clear that both Conclusions I and II are true.


  1. Statements
    F ≥ G = H;
    G > J ≥ K
    Conclusions
    I. F ≥ K
    II. K < H
    1. If only Conclusions I is true
    2. if only Conclusions II is true
    3. if either Conclusions I or II is true
    4. if neither Conclusions I nor II istrue
    5. if both Conclusions I and II are true

  1. View Hint View Answer Discuss in Forum

    Given that,
    D > E ≤ F ............(i)
    J < F ......................(ii)
    On combining the statements (i) and (ii), we get
    D > E ≤ F > J
    Conclusions
    I. D > J
    II. E < J

    Correct Option: D

    Given that,
    D > E ≤ F ............(i)
    J < F ......................(ii)
    On combining the statements (i) and (ii), we get
    D > E ≤ F > J
    Conclusions
    I. D > J        (false)
    II. E < J         (false)

    So, it is clear that neither Conclusion I nor II is true



  1. Statements
    P < Q = R ≥ S ≥ T
    Conclusions
    I. T ≤ Q
    II. R > P
    1. If only Conclusions I is true
    2. if only Conclusions II is true
    3. if either Conclusions I or II is true
    4. if neither Conclusions I nor II is true
    5. if both Conclusions I and II are true

  1. View Hint View Answer Discuss in Forum

    Statements
    P < Q = R ≥ S ≥ T
    Conclusions
    I. T ≤ Q
    II. R > P

    Correct Option: E

    Statements
    P < Q = R ≥ S ≥ T
    Conclusions
    I. T ≤ Q         (true)
    II. R > P       (true)
    Hence, both conclusions are definitely true.


  1. Statement
    A ≤ B < C ;
    A ≥ D;
    C ≤ F
    Conclusions
    I. D < C
    II. F ≥ D
    1. If only Conclusions I is true
    2. if only Conclusions II is true
    3. if either Conclusions I or II is true
    4. if neither Conclusions I nor II is true
    5. if both Conclusions I and II are true

  1. View Hint View Answer Discuss in Forum

    Statement
    A ≤ B < C ;
    A ≥ D ;
    C ≤ F ;
    On combining both the statements, we get
    D ≤ A ≤ B < C ≤
    Conclusions
    I. D < C           (true)
    II. F ≥ D       (false)
    Hence, only conclusion I is definitely true.

    Correct Option: A

    Statement
    A ≤ B < C ;
    A ≥ D ;
    C ≤ F ;
    On combining both the statements, we get
    D ≤ A ≤ B < C ≤
    Conclusions
    I. D < C           (true)
    II. F ≥ D       (false)
    Hence, only conclusion I is definitely true.



  1. Statement
    U > A = I ≤ 0 < E
    Conclusions
    I. I ≤ E
    II. 0 > U
    1. If only Conclusions I is true
    2. if only Conclusions II is true
    3. if either Conclusions I or II is true
    4. if neither Conclusions I nor II is true
    5. if both Conclusions I and II are true

  1. View Hint View Answer Discuss in Forum

    Statement
    U > A = I ≤ O < E
    Conclusions
    I. I ≤ E       (false)
    II. O > U     (false)

    Correct Option: D

    Statement
    U > A = I ≤ O < E
    Conclusions
    I. I ≤ E       (false)
    II. O > U     (false)
    Hence, neither Conclusion I nor II is definitely true.