Symbol Notation Practice Problems 7 | Hamaraguru

Symbol Notation Practice Problems 7 | Hamaraguru

66. If ‘+’ means ‘÷’, ‘-’ means ‘×’, ‘÷’ means ‘-’, and ‘×’ means ‘+’, then 42 ÷ 24 + 6 × 4 – 3 = ?
a) 22 ¾    
b) 50
c) 58    
d) 26
e) None of these

67. If $ means ‘plus (+)’, # means ‘minus (-)’, @ means ‘multiplied by (×)’ and * means ‘divided by (÷)’, then what is the value of ’16 $ 4 @ 5 # 72 *8’
a) 29    
b) 27
c) 25    
d) 36
e) None of these

Directions (68-72): Read each statement carefully and answer the following questions:
68. Which of the following expressions will be true if the expression R > O = A > S < T is true?
a) O > T    
b) S < R
c) T > A    
d) S = O
e) T < R

69. Which of the following symbols should replace the question mark (?) in the given expression to make the expressions ‘ P > A’ as well as ‘T < L’ definitely true? P > L ? A ≥ N = T
a) ≤    
b) >
c) <    
d) ≥
e) Either ≤ or <

70. Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression in such a manner that makes the expression ‘B > N’ as well as ‘D ≤ L’ definitely true? B L O N__ D
a) =, = , ≥, ≥    
b) >, ≥, =, >
c) >, <, =, ≤    
d) >, =, =, ≥ 
e) >, =, ≥, >

71. Which of the following should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression in such a manner that makes the expression ‘A < P’ definitely false? _<_<_>_
a) L, N, P, A    
b) L, A, P, N
c) A, L, P, N    
d) N, A, P, L
e) P, N, A, L

72. Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression in such a manner that makes the expression ‘F > N’ and ‘U > D’  false? F O U N D
a) <, <, >, =    
b) <, =, =, >
c) <, =, =, <    
d) ≥, =, =, ≥ 
e) >, >, =, <

73. If ‘÷’ means ‘+’; ‘-’ means ‘×’; ‘×’ means ‘÷’ and ‘+’ means ‘-’; then 15 – 8 × 6 ÷ 12 + 4 = ?
a) 20    
b) 28
c) 8 4/7    
d) 2 2/3
e) None of these

In the following questions, the symbols $, ©, #, @, and *  are used with the following meaning as illustrated below:

‘P © Q’ represents ‘P is not greater than Q’.
‘P # Q’ represents ‘p is neither greater than nor equal to Q’.
‘P @ Q’ represents ‘P is neither greater than nor smaller than Q’.
‘P * Q’ represents ‘P is neither smaller than or equal to Q’.
‘P $ Q’ represents ‘P is not smaller than Q’.

Now in each of the questions below assuming the given statements to be true, find which of the conclusion given below them are true?

74. Statements: A * N, S $ N, S * W, W © R
Conclusions:
I. R $ A
II. S * R
III. S * A
IV. W © A
a) Only I and II are true
b) Only II, III and IV are true
c) None is true
d) All I, II, III and IV are true
e) None is true

75. Statements: D # E, E © T, T @ C, C # A
Conclusions:
I. D # A
II. C © D
III. A * E
IV. T # A
a) Only I, III and IV are true
b) Only I, II and IV are true
c) Only I, II and IV are true
d) Only I and III are true
e) All are true

76. Statements: O $ B, B @ S, S # E, E © R
Conclusions:
I. S © O
II. R * S
III. B # R
IV. B # E
a) Only I and II are true
b) Only III is true
c) Only I, III and Iv are true
d) All are true
e) Only III and IV are true

77. Statements: D © S, S * P, P $ S, P @ T
Conclusions:
I. P # D
II. P $ T
III. T $ S
IV. I © D
a) Only I and III are true
b) Only III is true
c) Only I, III and IV are true
d) Only II, III and IV are true
e) Only I, III and IV are true

78. Statements: U @ N, N $ F, F $ A, A * R
Conclusions:
I. A @ U
II. N * R
III. R © U
IV. U * A
a) Only II is true
b) Only I and II are true
c) Only I, II and IV are true
d) Only III and IV are true
e) Only II and either I or IV are true


Answer Key:
66. 2    
67. 2    
68. 2    
69. 2    
70. 4
71. 5    
72. 3    
73. 2    
74. 3    
75. 1
76. 4    
77. 2    
78. 5