balancing the equations Detailed Explanation And More Example

MOST IMPORTANT verbal reasoning - 2 EXERCISES

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The following question based on mathematical operations topic of verbal reasoning

Questions : 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 - = 

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.

Practice mathematical operations (balancing the equations) Online Quiz

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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: (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: (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: (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: (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: (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: (b)

$√{100} + √{16} = √{225} - √{1}$

10+ 4 = 15 -1

⇒ 14 = 14

GET mathematical operations PRACTICE TEST EXERCISES

symbol substitution

balancing the equations

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