balancing the equations Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 2 EXERCISES
Directions:
What should be the correct signs to balance the following equation?
The following question based on mathematical operations topic of verbal reasoning
(a) x, + and =
(b) +, x and =
(c) =, x and +
(d) x, = and +
The correct answers to the above question in:
Answer: (a)
Let us check all the options one-by-one.
From option (a).
3+2 x 1 = 7
By interchanging the signs, from the options. We get,
⇒ 3 x 2 + 1=7 (using VBODMAS rule)
⇒ 6 + 1 =7 ⇒ 7 = 7
∴ LHS = RHS
As an option (a) gives us a correct answer, there is no need to check the remaining options.
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Read more balancing equations problems Based Verbal Reasoning Questions and Answers
Question : 1
6 5 4 = 34
a) - and +
b) x and +
c) ÷ and x
d) x and +
Answer »Answer: (b)
Let us check all the options one by one.
From option (a),
6 -5 + 4 = 34 (using VBODMAS rule)
⇒ 10 - 5 = 34 ⇒ 5= 34
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
6 x 5+ 4 = 34 (using VBODMAS rule)
⇒ 30+ 4 = 34 ⇒ 34 = 34
⇒ LHS = RHS
So, option (b) gives us the correct answer and hence, there is no need to check remaining options.
Question : 2
7 4 8 2 = 24
a) -, x and x
b) -, x and ÷
c) x, - and ÷
d) -, ÷ and x
Answer »Answer: (c)
Let us check all the options one-by-one.
From option (a),
7- 4 x 8 x 2 = 24 (using VBODMAS rule)
⇒ 7 - 64 = 24
⇒ - 57 = 24
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b),
7-4 x 8 ÷2 = 24 (using VBODMAS rule)
⇒ 7- 4 x 4 = 24 ⇒ 7 - 16 =24
⇒ -9 = 24
⇒ LHS ≠ RHS
So, option (b) is incorrect.
From option (c),
7 x 4 - 8 ÷ 2=24 (using VBODMAS rule)
⇒ 7 x 4- 4 = 24
⇒ 28 - 4 = 24
⇒ 24 = 24
⇒ LHS =RHS
So, option (c) is correct and hence, there is no need to check option (d).
Question : 3
65 40 11=36
a) - and +
b) x and ÷
c) ÷ and +
d) + and x
Answer »Answer: (a)
Let us check all the options one by one.
From option (a),
65 - 40 + 11 = 36
⇒ 76 - 40 = 36
⇒ 36 = 36
⇒ LHS = RHS
So, option (a) is correct and hence there is no need to check remaining options.
Question : 4
17 - 3 x 6 = 45
a) x,-and =
b) =, x and –
c) -, x and =
d) x, = and -
Answer »Answer: (a)
From option (a),
17 - 3 x 6 = 45
By interchanging the signs, from the options. We get,
⇒ 17 x 3 - 6 = 45 (using VBODMAS rule)
⇒ 51- 6 = 45
⇒ 45 = 45
LHS = RHS
∴ So, option (a) is correct.
Question : 5
Select the correct combination of mathematical signs to replace the * signs and to balance the given equation
40 * 2 * 4 * 3 * 8
a) + - ÷=
b) ÷ + = x
c) + ÷ x =
d) + x - =
Answer »Answer: (b)
Given, 40* 2* 4 * 3 * 8
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
40 + 2 - 4 ÷ 3 = 8
⇒ 42 - $4/3$ = 8
⇒ 126 - 4 = 24
⇒ 122 = 24
∴ LHS ≠ RHS
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
40 ÷ 2 + 4 = 3 x 8
⇒ 20 + 4 = 24
⇒ 24 = 24
LHS = RHS
Hence, option (b) is correct and there is no need to check remaining options.
Question : 6
Select the correct combination of mathematical signs to replace ‘*’ signs and to balance the given equation.
24 * 34 * 2 * 5 * 12
a) + ÷ x =
b) = ÷ + -
c) = ÷ - +
d) + ÷ = x
Answer »Answer: (c)
From option (c).
24 = 34 ÷ 2 - 5+ 12
⇒ 24 = 17 - 5+12
⇒ 24 = 29 -5
⇒ 24 = 24
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