# Symbol Notation Practice Problems 6 | Hamaraguru

Directions (56-60): In the following questions, the symbols @, ©, $, % and & are used with the following meanings:

‘P © Q’ represents ‘P is not smaller than Q’.

‘P % Q’ represents ‘P is not greater than Q’.

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

‘P @ Q’ represents P is neither greater than nor smaller than Q’.

‘P $ Q’ represents ‘P is neither greater than nor equal to Q’.

Now in each of the following questions assuming the given statements to be true, find out which of the conclusions I, II or III has given below them are/is true?

56. Statements: F % T, T @ J, J & W

Conclusions:

I. J @ F

II. J & F

III. W $ T

a) Only I is true.

b) Only II is true.

c) Only III is true.

d) Only either I or II is true.

e) Only either I or II and III are true.

57. Statements: R & D, D © K, K $ M

Conclusions:

I. M & R

II. K $ R

III. D & M

a) None is true.

b) Only I is true.

c) Only II is true.

d) Only III is true.

e) Only II and III are true.

58. Statements: Z © F, F $ M, M % K

Conclusions:

I. K & F

II. Z & M

III. K & Z

a) Only I is true.

b) Only II is true.

c) Only III is true.

d) Only II and III are true.

e) None of these

59. Statements: H @ B, B © R, A $ R

Conclusions:

I. B & A

II. R % H

III. A $ H

a) Only I and II are true

b) Only I and III are true

c) Only II and III are true

d) All I, II and III are true

e) None of these

60. Statements: M $ J, J & T, K © T

Conclusions:

I. K & J

II. M $ T

III. M $ K

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) Only II and III are true

Directions (61-65): In the following questions, the symbols δ, #, %, @ and * are used with following meanings.

‘P # Q’ represents ‘P is neither greater than nor smaller than Q’.

‘P δ Q’ represents ‘P is not smaller than Q’.

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

‘P * Q’ represents ‘P is not greater than Q’.

‘P % Q’ represents ‘P is neither greater than nor equal to Q’.

Now in each of the following questions assuming the given statements to be true, find out which of the conclusions I, II or III has given below them are/is definitely true?

61. Statements: D % F, F @ H, H * N

Conclusions:

I. N @ F

II. D % N

III. H % D

a) None is true

b) Only I is true

c) Only II is true

d) Only III is true

e) Only I and II are true

62. Statements: B δ D, D % T, T * M

Conclusions:

I. B @ T

II. M @ D

III. B @ M

a) Only I is true

b) Only II is true

c) Only III is true

d) Only II and III are true

e) None of these

63. Statements: K # W, M @ W, R δ M

Conclusions:

I. K % M

II. W % R

III. R @ K

a) Only I and II are true

b) Only I and III are true

c) Only II and III are true

d) All I, II and III are true

e) None of these

64. Statements: M @ K, K δ T, T # J

Conclusions:

I. J # K

II. M @ J

III. J % K

a) Only I is true

b) Only II is true

c) Only III is true

d) Only either I or III is true

e) Only either I or III and II are true

65. Statements: R * N, N % B, B # T

Conclusions:

I. B @ R

II. T @ N

III. R % T

a) Only I and II are true

b) Only I and III are true

c) Only II and III are true

d) All I, II and III are true

e) None of these

Answer Key:

56. 5

57. 3

58. 1

59. 4

60. 1

61. 1

62. 2

63. 4

64. 5

65. 4

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