balancing the equations Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 2 EXERCISES
The following question based on mathematical operations topic of verbal reasoning
40 * 2 * 4 * 3 * 8
(a) + - ÷=
(b) ÷ + = x
(c) + ÷ x =
(d) + x - =
The correct answers to the above question in:
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.
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Read more balancing equations problems Based Verbal Reasoning Questions and Answers
Directions:
What should be the correct signs to balance the following equation?
Question : 1
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 : 2
3 + 2 × 1=7
a) x, + and =
b) +, x and =
c) =, x and +
d) x, = and +
Answer »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.
Question : 3
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 : 4
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
Question : 5
Select the correct combination of mathematical signs to replace * signs and to balance the following equation
8 * 8 * 1 * 7 = 8
a) x ÷ +
b) + ÷ x
c) ÷ x +
d) + x ÷
Answer »Answer: (c)
From option (c),
8 * 8 * 1 * 7 = 8
⇒ 8 ÷ 8 x 1+7=8
⇒ 8= 8
Question : 6
Which of the following sets of operation with the usual notations replacing the stars in the order given makes the statements valid?
$√{100} * √{16} * √{225} * √{1}$
a) x, =, +
b) +, =, -
c) +, =, x
d) -, x, =
Answer »Answer: (b)
$√{100} + √{16} = √{225} - √{1}$
10+ 4 = 15 -1
⇒ 14 = 14
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