Mathematical operation and symbol notation


  1. Statements
    H < J,
    F < H,
    I ≤ J = K
    Conclusions
    I. H > I
    II. I ≥ F
    1. if only Conclusion I follows
    2. if only Conclusion II follows
    3. if either Conclusion I or II follows
    4. if neither Conclusion I nor II follows
    5. if both Conclusions I and II follow

  1. View Hint View Answer Discuss in Forum

    Given that,
    H < J .....(i)
    F < H .....(ii)
    I ≤ J = K ......(iii)
    On combining the statement (i), (ii) and (iii), we get
    F < H < J = K ≥ I
    Conclusions
    I. H > I (false)
    II. I ≥ F (false)

    Correct Option: D

    Given that,
    H < J ..............(i)
    F < H ..............(ii)
    I ≤ J = K ......(iii)
    On combining the statement (i), (ii) and (iii), we get
    F < H < J = K ≥ I
    Conclusions
    I. H > I (false)
    II. I ≥ F(false)
    So, it is clear that neither Conclusion i nor II follows the given statements.


  1. Statements
    A < B < C ≤ D = E
    Conclusions
    I. B ≤ E
    II. B < E
    1. if only Conclusion I follows
    2. if only Conclusion II follows
    3. if either Conclusion I or II follows
    4. if neither Conclusion I nor II follows
    5. if both Conclusions I and II follow

  1. View Hint View Answer Discuss in Forum

    Given that,
    A < B < C ≤ D = E
    Here, statements are already combined.
    Conclusions
    I. B ≤ E       (false)
    II. B < E       (true)

    Correct Option: E

    Given that,
    A < B < C ≤ D = E
    Here, statements are already combined.
    Conclusions
    I. B ≤ E       (false)
    II. B < E       (true)
    So, it is clear that only Conclusion II follow from the given statements.



  1. Statements
    P > M > Q,
    Q > Z > N
    Conclusions
    I. M ≥ Z
    II. N < P
    1. if only Conclusion I follows
    2. if only Conclusion II follows
    3. if either Conclusion I or II follows
    4. if neither Conclusion I nor II follows
    5. if both Conclusions I and II follow

  1. View Hint View Answer Discuss in Forum

    Given that,
    i. P > M > Q
    ii. Q > Z > N
    On combining the statement (i) and (ii) we get
    P > M > Q > Z > N
    Conclusions
    I. M ≥ Z       (false)
    II. N < P       (true)

    Correct Option: B

    Given that,
    i. P > M > Q
    ii. Q > Z > N
    On combining the statement (i) and (ii) we get
    P > M > Q > Z > N
    Conclusions
    I. M ≥ Z       (false)
    II. N < P       (true)
    So, it is clear that only Conclusion II follows from the given statements.


  1. Which of the following expression will be true, if the given expression K ≥ G > H ≤ F is definitely true ?
    1. F ≥ K
    2. H < K
    3. F < G
    4. K ≥ H
    5. None of thease

  1. View Hint View Answer Discuss in Forum

    Now, we can check all the options one by one
    (a) F ≥ K
    Given equation,
    1. K ? G > H ? F
    Then relation between F and K will be from 1,
    2. K ? H ? F (cannot decide between K and F)

    (b) H < K
    from 1. Relation between H and K will be
    3. K ? G > H
    from 3
    H < K

    (c) F < G
    Relation between F and G from 1,
    G > H ? F (cannot decide between G and F)

    (d) K ≥ H
    Relation Between K and H,
    From 1. K ? G > H means K > H

    Correct Option: B

    Now, we can check all the options one by one
    (a) F ≥ K......(false)
    (b) H < K .......(true)
    (c) F < G ......(false)
    (d) K ≥ H ......(false)
    So, it clear that option (b) true ,



  1. In which of the following expression will the expression ' A < D' be definitely true ?
    1. A ≥ B = C < D
    2. A > B = C ≥ D
    3. A < B = C ≤ D
    4. A > B < C ≤ D
    5. None of the above

  1. View Hint View Answer Discuss in Forum

    Try all option one by one.

    Correct Option: C

    Try all option one by one.
    From the expression "C "--
    A < B = C ≤ D,
    A < D will be definitely true .