Symbol and Notation Verbal Reasoning Questions

Q-16. If P denotes +, Q denotes -, R denotes x and S denotes ÷, which of the following statement is correct?

(a) 36 R 4 S 8 Q 7 P 4 =10
(b) 16 R 12 P 49 S 7 Q 9 = 200
(c) 32 S 8 R 9 = 160 Q 12 R 12
(d) 8 R 8 P 8 S 8 Q 8 = 57

View Answer and Solution 

Answer : (d)
Solution :

8 R 8 P 8 S 8 Q 8 = 57
Using the proper notations in (d), we get the statement as:
8 x 8 + 8 ÷ 8 - 8 = 57
8 x 8 + 1 - 8 = 57
64 + 1 - 8 = 57
65 - 8 = 57
57 = 57

Q-17. If L denotes ÷, M denotes x, P denotes + and Q denotes – then which of the following statement is true?

(a) 32 P 8 L 16 Q 4 = 3/2
(b) 6 M 18 Q 26 L 13 PL =173/3
(c) 11 M 34 L 17 Q 8 L 3= 38/8
(d) 9 P 9 L 9 Q 9 M 9 = -71

View Answer and Solution 

Answer : (d)
Solution :

9 P 9 L 9 Q 9 M 9 = -71
Using the proper notations in (d), we get the statement as:
9 + 9 ÷ 9 - 9 x 9 = -71
9 + 1 - 9 x 9 = -71
9 + 1 - 81 = -71
10 - 81 = -71
-71 = -71

Q-18. If ‘x’ stands for ‘addition’, ‘<‘ for ‘subtraction’, ‘+’ for division’, >’ for ‘multiplication’, ‘-‘ for ‘equal to’, ‘÷’ for ‘greater than’and ‘=’ for ‘less than’ then which of the following statement is true?

(a) 3 x 4 > 2 – 9 + 3 < 3
(b) 5 x 3 < 7 ÷ 8 + 4 x 1
(c) 5 > 2 + 2 ÷ 10 < 4 x 8
(d) 3 x 2 < 4 ÷ 16 > 2 + 4

View Answer and Solution 

Answer : (c)
Solution :

5 > 2 + 2 = 10 < 4 x8
Using the proper notations in (c), we get the statement as:
5 x 2 ÷ 2 < 10 - 4 + 8
5 x 1 < 18 - 4
5 < 14

Q-19. If ‘÷’ stands for ‘greater than’, ‘x’ stands for ‘addition’, ‘+’stards for ‘division’, ‘-‘ stands for ‘equal to’, ‘>’ stands for ‘multiplication’, ‘=’ stands for ‘less than’ and ‘<‘ stands for ‘minus’, then which of the following alternative is correct?

(a) 5 > 2 < 1 – 3 x 4 x 1
(b) 5 < 2 x 1 + 3 > 4 x 1
(c) 5 > 2 x 1 -3 > 4 < 1
(d) 5 + 2 + 1 = 3 + 4 > 1

View Answer and Solution 

Answer : (c)
Solution :

5 > 2x 1 - 3 > 4 < 1
Using the proper notations in (c), we get the statement as:
5 x 2 + 1 = 3 x 4 - 1
10 + 1 = 12 - 1
11 = 11

Q-20. If ÷ implies =, x implies <, + implies >, – implies x, > implies ÷, < implies +, = implies -, identify the correct expression.

(a) 1 – 3 > 2 + 1 – 5 = 3 – 1 < 2
(b) 1 – 3 > 2 + 1 x 5 = 3 x 1 > 2
(c) 1 x 3 > 2 + 1 x 5 x 3 – 1 > 2
(d) 1 – 3 > 2 + 1 x 5 + 3 – 1 > 2

View Answer and Solution 

Answer : (b)
Solution :

1-3 > 2 + 1 x 5 + 3-1 > 2
Using the proper notations in (d), we get the statement as:
1 x 3 ÷ 2 > 1 < 5 > 3 x 1 ÷ 2
 \frac{3}{2}>1 < 5 > \frac{3}{2}