symbol substitution Practice Questions Answers Test with Solutions & More Shortcuts
Question : 6
If '+’ means subtraction, ‘÷’ means addition, ‘-‘ means multiplication and '×' means division, then which of the following equation is correct?
a) 8 ÷ 44 – 5 + 25 = 203
b) 9 ÷ 64 - 2 × 6 = 54
c) 56 + 12 × 34 – 12 = 102
d) 112 × 44 – 12 + 10 = 46
Answer »Answer: (a)
8 ÷ 44 - 5 + 25 = 203
from the question by changing the symbols, we get
⇒ 8 + 44 × 5 - 25 = 203 (using VBODMAS rule)
⇒ 8 + 220 - 25 = 203
⇒ 228 - 25 = 203
⇒ 203 = 203
⇒ LHS = RHS.
Therefore the option (a) is correct.
Question : 7
If A = '+', B = ‘-‘, C = '×' and D = '÷', then which of the following equations is correct?
a) 8 B 6 D A 4 C 3 = 15
b) 9 C 9 B 9 D A 9 = 17
c) 3 A 3 B 3 C 3 A 3 D 3 = 41
d) 8 A 8 B 8 C 8 = - 48
Answer »Answer: (d)
From option (d),
8 A 8 B 8 C 8 = - 48
from the question by changing the symbols, we get
⇒ 8 + 8 - 8 × 8 = - 48
⇒ 8 + 8 - 64 = - 48 (using VBODMAS rule)
⇒ 16 - 64 = - 48
⇒ - 48 = - 48.
Therefore LHS = RHS.
So option (d) is correct.
Question : 8 [S.S.C. (CGL) 2014]
If > denotes +, < denotes -, + denotes ÷, ^ denotes ×, - denotes =, × denotes > and = denotes <, choose the correct statement of the following.
a) 28 + 4 ^ 2 = 6 ^ 4 + 2
b) 13 > 7 < 6 + 2 = 3 ^ 4
c) 9 > 5 > 4 – 18 + 9 > 16
d) 9 < 3 < 2 > 1 × 8 ^ 2
Answer »Answer: (c)
From option (c),
9 > 5 > 4 - 18 + 9 > 16
By interchanging the signs,
9 + 5 + 4 = 18 ÷ 9 + 16 (using VBODMAS rule)
⇒ 18 = 18
Thus, option (c) is correct.
Question : 9 [S.S.C. (Steno) 2011]
If ‘T' means (×), 'U' means (-), 'X' means (÷) and W means (+), then what will be the value of the following expression. (50 X 2) W (28 T 4)
a) 142
b) 158
c) 137
d) 163
Answer »Answer: (c)
Given expression, (50 × 2) W (28 T 4)
After interchanging the letters with symbols, we get
(50 ÷ 2) + (28 × 4) = 25 + 112 (using VBODMAS rule)
= 137
Question : 10
If '÷' means addition and '×' means subtraction, then (15 × 9) ÷ (12 × 4) × (4 ÷ 4) is equal to
a) 96
b) 6
c) $3/128$
d) $143/8$
Answer »Answer: (b)
According to the question,
Required answer = (15 × 9) ÷ (12 × 4) × (4 ÷ 4)
from the question by changing the symbols, we get
= (15 - 9) + (12 - 4) - (4 + 4) (using VBODMAS rule)
= 6 + 8 - 8
= 6
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