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Logical Reasoning :: Symbols and Notations

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

    Find the next term in the following series.
    5#2, *?8, $4v, ___
  2. A.
    LIS
    B.
    !6@
    C.
    I4S
    D.
    13$
    E.
    52*

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  3. 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:       P @ Q, Q # R, R $ S, S © T
    Conclusions:      I. P $ T
                              II. R # P
                             III. T $ R
                             IV. R © P
  4. A.
    Only I and II follow.
    B.
    Only II follows.
    C.
    Either II or IV follows.
    D.
    Only II and IV follow.
    E.
    None follows.

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  5. In which of the following expressions will the expression R ≤ P does not hold true?
  6. A.
    M < P = S ≥ G ≥ R ≤ T
    B.
    M > P = S ≥ G = R ≤ T
    C.
    M = P < S ≤ G ≤ R = T
    D.
    M > P ≥ S ≥ G = R ≥ T
    E.
    M < P ≥ S ≥ G ≥ R ≤ T

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

    Which of the following is the tenth element to the right of the fifteenth element from the right?
  8. A.
    1
    B.
    6
    C.
    D
    D.
    8
    E.
    9

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

    How many letters are there, each of which are immediately followed and immediately preceded by a symbol?
  10. A.
    1
    B.
    3
    C.
    2
    D.
    More than
    E.
    None of these.

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  11. 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:           D * F, F @ G, G © H, H $ T.
    Conclusions:          I. D # G
                                  II. F @ H
                                  III. G © T
                                  IV. D * H
  12. A.
    Only I follows.
    B.
    Only II follows.
    C.
    Only III follows.
    D.
    Either III or IV follows
    E.
    None follows

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  13. In which of the following expression will the expression Q < M does not hold true?
  14. A.
    F ≥ Q ≤ R < S ≤ T = M
    B.
    F < Q > R ≥ S > T = M
    C.
    F ≤ Q ≤ R ≤ S ≤ T < M
    D.
    F ≤ Q ≤ R ≤ S ≤ T < M
    E.
    F > Q < R < S ≤ T < M

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

    If the elements in the first half of the above sequence from the left are written in the reverse order, then which element is the tenth to the left of the twentieth element from the left?
  16. A.
    1
    B.
    7
    C.
    F
    D.
    @
    E.
    3

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

    which is the 9th element to the right of the 19th element from the left end?
  18. A.
    7
    B.
    3
    C.
    V
    D.
    H
    E.
    A

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  19. 2 T # K 7 P N 3 R ? 5 Q 1 S A 9 @ 4 E G % 8 J B 6 M ! V 9 Z

    Which is the 13th element to the left of the 8th element from the right end?
  20. A.
    #
    B.
    T
    C.
    K
    D.
    V
    E.
    ?

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