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Logical Reasoning :: Symbols and Notations

  1. A $ B means A is neither greater than nor equal to B.
    A © B means A is neither lesser than nor equal to B.
    A @ B means A is not greater than B.
    A * B means A is not lesser than B.
    A # B means A is neither greater than nor lesser than B.

    Statements:       C * D, D @ F, F © G, G $ H
    Conclusions:      I. C © F
                               II. H © F
                              III. G $ D
                              IV. D $ H
  2. A.
    Only 1 follows
    B.
    Only II follows
    C.
    Only III follows
    D.
    Only IV follows
    E.
    None follows

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  3. Which of the following expression is valid for the given expression 'E < B' and 'A > D' to definitely follow?
  4. A.
    A < B ≥ C ≥ D > E
    B.
    A > B ≥ C ≥ D > E
    C.
    A > B ≤ C ≥ D > E
    D.
    A ≥ B ≥ C ≥ D > E
    E.
    None of these.

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  5. M 4 C @ F 7 1 $ A E N 9 H > 5 ↓ K ʘ 3 ? B J # G 8 D 6 I L 2

    Find the next element in the following series.
    M, @, A, ↓, __
  6. A.
    G
    B.
    N
    C.
    #
    D.
    9
    E.
    8

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  7. R K 5 9 # B 2 % * E ? A 8 L $ I 4 S V 7 ! C 6 N @ H 1 3 & D

    Four of the following are alike. Find the Odd one.
  8. A.
    RKB
    B.
    ALI
    C.
    SVC
    D.
    NHD
    E.
    BLI

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  9. A $ B means A is neither greater than nor equal to B.
    A © B means A is neither lesser than nor equal to B.
    A @ B means A is not greater than B.
    A * B means A is not lesser than B.
    A # B means A is neither greater than nor lesser than B.

    Statements:         M $ K, K @ P, P # Q, Q * R
    Conclusions:        I. M $ P
                                 II. K # Q
                                III. K $ Q
                                IV. P © R
  10. A.
    Only I follows
    B.
    Only II and III follow
    C.
    Only III and IV follow
    D.
    Only I and either II or III follow
    E.
    None follows

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  11. Which of the following expressions is valid if the given expressions 'Q > M' and 'R > N' to definitely follow?
  12. A.
    M ≤ N < P ≤ Q < R
    B.
    M ≤ N ≤ P ≤ Q < R
    C.
    M ≤ N = P ≤ Q < R
    D.
    M ≥ N = P ≥ Q > R
    E.
    None of these.

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  13. M 4 C @ F 7 1 $ A E N 9 H > 5 ↓ K ʘ 3 ? B J # G 8 D 6 I L 2

    Find the next term in the following series.
    4 @ 7, $ E 9, > ↓ ʘ, __
  14. A.
    3 B #
    B.
    ? J G
    C.
    3 ? B
    D.
    J G D
    E.
    ? D B

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  15. A $ B means A is neither greater than nor equal to B.
    A © B means A is neither lesser than nor equal to B.
    A @ B means A is not greater than B.
    A * B means A is not lesser than B.
    A # B means A is neither greater than nor lesser than B.

    Statements:         G $ I, I * K, K # M, M $ O
    Conclusions:        I. I * M
                                 II. K $ O
                                 III. G © K
                                 IV. I @ M
  16. A.
    Only I and II follow.
    B.
    Only II and III follow.
    C.
    Only III and IV follow.
    D.
    Only I, II and III follow.
    E.
    All follow.

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  17. Which of the following expression is valid if the given expression 'P < Q' and 'S > R' to definitely follow?
  18. A.
    T > R ≤ P ≤ S ≤ Q
    B.
    T > R < P ≥ S ≤ Q
    C.
    T > R < P ≤ S ≥ Q
    D.
    T > R ≤ P < S < Q
    E.
    None of these.

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  19. M 4 C @ F 7 1 $ A E N 9 H > 5 ↓ K ʘ 3 ? B J # G 8 D 6 I L 2

    How many such symbols are there in the above sequence of elements which are immediately proceeded by an alphabet and immediately following by a digit?
  20. A.
    Zero
    B.
    One
    C.
    Two
    D.
    Three
    E.
    More than three

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