symbol substitution Practice Questions Answers Test with Solutions & More Shortcuts
Question : 16
If ‘-’ stands for division, '+' for multiplication, '÷' for subtraction and ‘x' for addition, then which one of the following equations is correct?
a) 19 + 5 - 4 x 2 ÷ 4 =11
b) 19 x 5 – 4 ÷ 2 + 4 =16
c) 19 ÷ 5 + 4 – 2 x 4 = 13
d) 19 ÷ 5 + 4 -2 ÷ 4= 20
Answer »Answer: (c)
- ⇒ ÷, + ⇒ x, ÷ ⇒ x, - ⇒ +,
From option (a), 19 + 5 - 4 x 2 ÷ 4 = 11
⇒ 19 x 5 ÷ 4 + 2 - 4 = 11
⇒ 95/4 + 2 - 4 ≠ 11
From option (b),
19 x 5 - 4 ÷ 2 + 4 = 16
⇒ 19 + 5 ÷ 4 - 2 x 4 = 16
⇒ 19 + 5/4 - 8 ≠ 16
From option (c),
19 ÷ 5 + 4 - 2 x 4 = 13
⇒ 19 - 5 x 4 ÷ 2 + 4 = 13
⇒ 19 - 5 x 2 + 4 = 13
⇒ 19 - 10 + 4 = 13
Therefore 13 = 13
As,we got our answer, there is no need to check option (d).
Question : 17 [SSC (CGL) 2011]
If '-' stands for '÷' ‘+’ stands for ‘x', '÷' for ‘-‘ for ‘x' for '+', which one of the following equations in correct?
a) 30 – 6 + 5 x 4 ÷2 = 27
b) 30 + 6 -5 ÷ 4 x 2= 30
c) 30 x 6 ÷ 5 – 4 + 2 = 32
d) 30 ÷6 x 5+ 4 -2 = 40
Answer »Answer: (a)
- ⇒ ÷, + ⇒ x, ÷ ⇒ x, - ⇒ +,
From option (a),
30 - 6 + 5 x 4 ÷ 2 = 27
⇒ 30 ÷ 6 x 5 + 4 - 2 = 27
⇒ 5 x 5 + 4 - 2 = 27
⇒ 25 + 4 - 2 = 27
Therefore 27 = 27
Question : 18
If '×' means subtraction, '+' means multiplication and '-' means addition, then find the value of following equation. 12 + (3 × 1) + 4 - 1 = ?
a) 98
b) 75
c) 85
d) 97
Answer »Answer: (d)
According to the question,
? = 12 + (3 × 1) + 4 - 1
from the question by changing the symbols, we get
= 12 × (3 - 1) × 4 + 1 (using VBODMAS rule)
= 12 × 2 × 4 + 1
= 96 + 1 = 97
Question : 19
If A = '+', B = ‘-‘, C = '×' and D = '÷', then 5 C 5 D 5 A 5 B 5 = ?
a) 0
b) 5
c) 10
d) 15
Answer »Answer: (b)
According to the question,
? = 5 C 5 D 5 A 5 B 5
from the question by changing the symbols, we get
= 5 × 5 ÷ 5 + 5 - 5 (using VBODMAS rule)
= 5 × 1 + 5 - 5
= 10 - 5 = 5
Question : 20
If '×' stands for '+', ÷ stands for '-', '-' stands for '×' and '+' stands for '÷', then find the value of following equation. 54 ÷ 16 - 3 × 6 + 2 = ?
a) 9
b) 12
c) 8
d) 15
Answer »Answer: (a)
According to the question,
? = 54 ÷ 16 - 3 × 6 + 2
from the question by changing the symbols, we get
= 54 - 16 × 3 + 6 ÷ 2 (using VBODMAS rule)
= 54 - 16 × 3 + 3
= 54 - 48 + 3
= 6 + 3 = 9
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