Ch.4 :-Comparison of Ranks : Exercise 4


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Now 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. Give answer (a) if only conclusion Iis true; give answer (b) if only conclusion II is true; give answer (c) if either Ior II is true; give answer (d) if neither I nor IIis true and give answer (e) if both I and II are true

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Answer & Solution

⇒ Directions for Q. No. 36 to 40 : In the following questions, the symbols #, $, @, * and © are used with the having meanings as given below:

‘P # Q’ means ‘P is not smaller than Q’.

‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.

‘P @ Q’ means ‘P is neither greater than nor equal to Q’.

‘P * Q’ means ‘P is not greater than Q’. ‘P © Q’ means

‘P is neither smaller than nor equal to Q’.

Now 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?

Give answer (a) if only conclusion I is true, (b) if only conclusion II is true, (c) if either conclusion I or II is true, (d) if neither conclusion I nor II is true, and (e) if both conclusions I and II are true.

36. Statements      :    B $ K , K @ D , D # M

      Conclusions     :  I. B $ M

                                    II. B @ M

37. Statements     :     H @ N, N © W, W # V

      Conclusions    :   I. H @ V

                                     II. V @ N

38. Statements     :     J * D, Q # D, D @ M

       Conclusions   :   I. Q © J

                                     II. Q $ J

39. Statements    :     F # G, N $ G, N © T

      Conclusions   :    I. T © F

                                     II. N * F

40. Statements    :     M © R, R @ K, K $ T

       Conclusions  :   I. T © R

                                    II. T © M

Answer & Solution

⇒Directions for Q. No. 41 to 45 : In the following questions, the symbols @, %, *, $ and # are used with following meanings as illustrated below:

‘P * Q’ means ‘P is neither smaller than nor equal to Q’.

‘P # Q’ means ‘P is not greater than Q’.

‘P @ Q’ means ‘P is neither greater than nor equal to Q’.

‘P $ Q’ means ‘P is neither smaller than nor greater than Q’.

‘P % Q’ means ‘p is not smaller than Q’

Now in each of the following questions assuming the given statement to be true, find which of the two conclusions I and II given below them is/are definitely true?

Give answer:

(a) if only conclusion I is true.

(b) if only conclusion II is true.

(c) if either conclusion I or IIis true.

(d) if neither conclusion I nor II is true.

(e) if both conclusions Iand II are true.

41. Statements   :  H * R, R $ Y, Y % M

      Conclusions  :  I. M @ H

                                    II. H $ M

42. Statements   :  T $ R, R # M, M @ N

      Conclusions   :  I. N * T

                                  II. R @ N

43. Statements   : W % V, V # D, M * D

      Conclusions  : I. M $ W

                                 II. M@V

44. Statements   : B # V, V $ M, M * Z

      Conclusions  : I. B $ M

                                 II. Z @ V

45. Statements   : K $ M, B # M, F * B

      Conclusions  : I. K $ B

                                II. K * B

Answer & Solution

 ⇒Directions for Q. No. 46 to 50 : In the following questions, the symbols @, #, $, %, ~. are used with the meanings as given below:

‘P @ Q’ means ‘P is not greater than Q’.

‘P # Q’ means ‘P is greater than or equal to Q’.

‘P $ Q’ means ‘P is neither greater than nor less than Q’.

‘p % Q’ means ‘p is less than Q’.

‘P * Q’ means ‘P is neither less than nor equal to Q’.

Now in each of the following questions assuming the given statements to be true, fmd which of the three conclusions I, II and III given below them is/are definitely true ?

46. Statements : B $ R, R * N, K @ N

    Conclusions  : I. B * K

                              II. K% R

                             III. B # N

(a) All are true                      (b) Only I is true

(c) Only I and II are true        (d) Only I and III are true

(e) None of these

47. Statements    : M % R, R # T, T * N

      Conclusions   : I.N%R

                               II. M % T

                               III. M 1, N

(a) None is true     (b) Only I is true

(c) Only II is true     (d) Only I and III are true

(e) All are true

48. Statements : V #T, T % N,N * M

     Conclusions : I.V % N

                              II. M * T

                              III. V # M

(a) None is true    (b) Only I is true

(c) Only I is true    (d) Only I and III are true

(e) All are true

49. Statements : D $ K, K % W, F @ W

     Conclusions   : I F%K

                                II. D * W

                                III. D * F

(a) None is true      (b) Only II is true

(c) Only II and III are true      (d) Only III is true

(e) All are true

50. Statements : J @ H, H % M, D # M

Conclusions       : I. J % D

                              II. D * H

                             III. M * J

(a) Only I and II are true     (b) Only II and III are true

(c) Only I and III are true     (d) All are true

(e) None of the above

Answer & Solution

⇒ Directions for Q. No. 51 to 55 : In the following questions, the symbols @, ©, $, % and # are used with the meanings as illustrated below:

‘A$B’ means ‘A is not smaller than B’

‘A#B’ means ‘A is not greater than B’

‘A@B’ means ‘A is neither smaller than nor equal to B’

‘A©B’ means ‘A is neither smaller than nor greater than B’

‘A%B’ means ‘A is neither greater than nor equal to B’

Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.

51. Statements   :   H % J, J © N, N @ R

      Conclusions  :  I. R % J

                                 II. H @ J

                                III. N @ H

(a) only II is true      (b) only I and III are true

(c) only I is true     (d) only III is true

(e) none is true

52. Statements    :  M @ J, J $ T, T © N

       Conclusions   : I. N # J

                                  II. T % M

                                 III. M @ N

(a) only I and II are true     (b) only 11and III are true

(c) only I and III are true     (d) none is true

(e) all are true

53. Statements    : D © K, K # F, F @ P

       Conclusions  :  I. P @ D

                                 II. K # P

                                 III. F $ D

(a) only II is true    (b) only I and II are true

(c) only III is true    (d) only II and III are true

(e) none of these

54.  Statements    :   R # D, D $ M, M © N

       Conclusions        :   I. R # M

                                   II. N # D

                                   III. N $ R

(a) only I is true    (b) only II is true

(c) only III is true    (d) none is true

(e) all are true

55. Statements    :    K © P, P @ Q, Q $ R

      Conclusions   :  I. K @ R

                                   II. R % P

                                  III. Q % K

(a) only Iand II are true     (b) only II and III are true

(c) only III is true        (d) all are true

(e) none of these

Answer & Solution

⇒Directions for Q. No. 56 to 62 : In [he following questions @, ©, %, * and $ are used with the meanings as illustrated below:

‘P©Q’ means ‘P is either smaller than or equal to Q’

‘P$Q’ means ‘P is neither greater than nor smaller than Q’

‘P@Q’ means ‘P is either greater than or equal to Q’

‘P%Q’ means ‘P is greater than Q’ ‘P*Q’ means ‘P is smaller than Q’

Now 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?

Give answer: (A) If only conclusion I is true.
(B) If only conclusion II is true.
(C) If either conclusion I or n is true.
(D) Ii neither conclusion I nor II is true.
(E) If b<?thconclusions I and II are true.

56. Statements   :  M @ R, R % T, T $ K

      Conclusions  :  I. K * M

                                 II. T * M

(a) A     (b) B    (c) C    (d) D    (e) E

57. Statements :  H % J, B © J, B @ F

     Conclusions  :  I. F $ J

                                II. J % F

(a) A     (b)B     (c) C     (d) D    (e) E

58. Statements : D $ M, M % W, W @ R

     Conclusions : I. R * D

                              II. W © D

(a) A     (b) B    (c) C    (d) D    (e) E

59. Statements    : A © N, N * V, V $ J

      Conclusions   : I. J @ N

                                 II. A © V

(a) A     (b) B    (c) C     (d) D    (e) E

60. Statements  :  K * T, T @ B, B © M

      Conclusions :  I. M % T

                                II. K © B

(a) A     (b) B    (c) C     (d) D    (e) E

61. Statements    :   B @ H, H * M, M $ N

Conclusions    :   I. B @ N

II. N % H

(a) A     (b) B     (c) C     (d) D     (e) E

62. Statements    : W © R, J @ R, J * K

Conclusions    :    I. J @ W

II. KO/OR

(a) A      (b) B     (c) C     (d) D    (e) E

Answer & Solution