Equation Insert MCQ Quiz - Objective Question with Answer for Equation Insert - Download Free PDF

Last updated on Jun 12, 2025

In such questions we have to replace a set of mathematical operations in the place of symbols present in equations in such a way so that it balances out the equation given. Such questions can be tackled appropriately by using option elimination methods where options which are not taking us towards the correct answer can be eliminated to obtain correct answer in result. This approach of option elimination can be understood clearly with the help of questions. Therefore some of the questions are here showing the correct approach for equation insert type questions.

Latest Equation Insert MCQ Objective Questions

Equation Insert Question 1:

Select the appropriate set of sequence of mathematical operators to replace all * sign in the following equation and hence to balance it.

50 * 4 * 9 * 14

  1. + × =
  2. × + =
  3. - × = 
  4. - ÷ =

Answer (Detailed Solution Below)

Option 3 : - × = 

Equation Insert Question 1 Detailed Solution

Given: 50 * 4 * 9 * 14">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-9-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-5-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-1-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-18-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2

According to the question, after replacing the signs:

Option 1) + × =

50 * 4 * 9 * 14 ⇒ 50 + 4 × 9 = 14

⇒ 50 + 4 × 9 = 14

⇒ 50 + 36 = 14

⇒ 86  14 (LHS ≠ RHS)

Option  2) × + =

50 * 4 * 9 * 14 ⇒ 50 × 4 + 9 = 14

⇒ 50 × 4 + 9 = 14

200 + 9 = 14

⇒ 209  14 (LHS ≠ RHS)

Option  3) - × = 

50 * 4 * 9 * 14 ⇒ 50 - 4 × 9 = 14

⇒ 50 - × 9 = 14

⇒ 50 - 36 = 14

⇒ 14 = 14 (LHS RHS)

Option  4) - ÷ =

50 * 4 * 9 * 14 ⇒ 50 - 4 ÷ 9 = 14

⇒ 50 - ÷ 9 = 14

⇒ 50 - 0.44 = 14

⇒ 49.56  14 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

Equation Insert Question 2:

Which of the following sets of signs should be used to replace * in the following?

13 * 2 * 6 = 30 * 2 * 5

  1. ÷ + × -
  2. + - × ÷
  3. × - ÷ +
  4. + × × +

Answer (Detailed Solution Below)

Option 3 : × - ÷ +

Equation Insert Question 2 Detailed Solution

Given: 13 * 2 * 6 = 30 * 2 * 5">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-9-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-5-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-1-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-18-Frame" role="presentation" style="display: inline; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2

According to the question, after replacing the signs:

Option 1) ÷ + × -

13 * 2 * 6 = 30 * 2 * 5 ⇒ 13 ÷ 2 + 6 = 30 × 2 - 5

⇒ 13 ÷ 2 + 6 = 30 × 2 - 5

6.5 + 6 = 60 - 5

⇒ 13.5  55 (LHS ≠ RHS)

Option  2) + - × ÷

13 * 2 * 6 = 30 * 2 * 5 ⇒ 13 + 2 - 6 = 30 × 2 ÷ 5

⇒ 13 + 2 - 6 = 30 × ÷ 5

⇒ 15 - 6 = 30 × 0.4

⇒ 9  12 (LHS ≠ RHS)

Option  3) × - ÷ +

13 * 2 * 6 = 30 * 2 * 5 ⇒ 13 × 2 - 6 = 30 ÷ 2 + 5

⇒ 13 × 2 - 6 = 30 ÷ 2 + 5

⇒ 26 - 6 = 15 + 5

⇒ 20 = 20 (LHS RHS)

Option  4) + × × +

13 * 2 * 6 = 30 * 2 * 5 ⇒ 13 + 2 × 6 = 30 × 2 + 5

⇒ 13 + 2 × 6 = 30 × 2 + 5

⇒ 13 + 12 = 60 + 5

⇒ 25  65 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

Equation Insert Question 3:

Select the appropriate set of sequence of mathematical operators to replace all '*' sign in the following equation and hence to balance  it.

2054914

  1. × =
  2. × 
  3. − ÷ 
  4. − × =

Answer (Detailed Solution Below)

Option 3 : − ÷ 

Equation Insert Question 3 Detailed Solution

Given: 2054914">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-9-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; text-wrap-mode: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-5-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-1-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-18-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2

According to the question, after replacing the signs:

Option 1) × =

2054914 ⇒ 20 + 54 × 9 = 14

⇒ 20 + 54 × 914

⇒ 20 + 486 = 14

⇒ 506  14 (LHS ≠ RHS)

Option  2) × =

2054914 ⇒ 20 × 54 + 9 = 14

⇒ 20 × 549 = 14

1080 + 914

⇒ 1089  14 (LHS ≠ RHS)

Option  3) − ÷ 

2054914 ⇒ 20 - 54 ÷ 9 = 14

⇒ 20 - 54 ÷ 914

⇒ 20 - 6 = 14

⇒ 14 = 14 (LHS RHS)

Option  4) − × =

2054914 ⇒ 20 - 54 × 9 = 14

⇒ 20 - 54 × 914

⇒ 20 - 486 = 14

⇒ -466  14 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

Equation Insert Question 4:

Which of the following sets of signs should be used to replace * in the following?

1973=664

  1. + - × ÷
  2. × - ÷ +
  3. + × × +
  4. ÷ + × -

Answer (Detailed Solution Below)

Option 3 : + × × +

Equation Insert Question 4 Detailed Solution

Given: 1973=664">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-9-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; text-wrap-mode: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-5-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-1-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-18-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2

According to the question, after replacing the signs:

Option 1) + - × ÷

1973=664 ⇒ 19 + 7 - × ÷ 4

⇒ 19 + 7× ÷ 4

26 - 3 × 1.5

⇒ 23  9 (LHS ≠ RHS)

Option  2) × - ÷ +

1973=664 ⇒ 19 × 7 - ÷ 6 + 4

⇒ 19 × 7÷ 64

133 - 3 = 1 + 4

⇒ 130  5 (LHS ≠ RHS)

Option  3) + × × +

1973=664 ⇒ 19 + 7 × × 6 + 4

⇒ 19 + × 3 × 64

⇒ 19 + 21 = 36 + 4

⇒ 40 = 40 (LHS RHS)

Option  4) ÷ + × -

1973=664 ⇒ 19 ÷ 7 + × 6 - 4

⇒ 19 ÷ 7× 64

2.7 + 3 = 36 - 4

⇒ 5.7  32 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

Equation Insert Question 5:

Which of the following sets of signs should be used to replace '*' in the following?

120 * 6 * 2 = 7 * 2 * 4

  1. + × × +
  2. + × ÷ -
  3. × - ÷ +
  4. ÷ - × +

Answer (Detailed Solution Below)

Option 4 : ÷ - × +

Equation Insert Question 5 Detailed Solution

Given: 120 * 6 * 2 * 7 * 4">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-9-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; text-wrap-mode: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-5-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-1-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2" id="MathJax-Element-18-Frame" role="presentation" style="display: inline; line-height: normal; font-size-adjust: none; word-spacing: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; transition: none; position: relative; vertical-align: 0px;" tabindex="0">480÷0.3×5+500190+9×27÷1.6=2480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2 480÷0.3×5+500190+9×27÷1.6=2

According to the question, after replacing the signs:

Option 1) × × +

120 * 6 * 2 = 7 * 2 * 4 ⇒ 120 + 6 × 2 = 7 × 2 + 4

⇒ 120 + 6 × 2 = 7 × 2 + 4

⇒ 120 + 12 = 14 + 4

⇒ 132  18 (LHS ≠ RHS)

Option  2) + × ÷ -

120 * 6 * 2 = 7 * 2 * 4 ⇒ 120 + 6 × 2 = 7 ÷ 2 - 4

⇒ 120 + × 2 = ÷ 2 - 4

⇒ 120 + 12 = 3.5 - 4

⇒ 132  0.5 (LHS ≠ RHS)

Option  3) × - ÷ +

120 * 6 * 2 = 7 * 2 * 4 ⇒ 120 × 6 - 2 = 7 ÷ 2 + 4

⇒ 120 × 6 - 2 = ÷ 2 + 4

840 - 2 = 3.5 + 4

⇒ 838  7.5 (LHS ≠ RHS)

Option  4) ÷ - × +

120 * 6 * 2 = 7 * 2 * 4 ⇒ 120 ÷ 6 - 2 = 7 × 2 + 4

⇒ 120 ÷ 6 - 2 = × 2 + 4

20 - 2 = 14 + 4

⇒ 18 = 18 (LHS RHS)

Hence, "Option 4" is the correct answer.

Top Equation Insert MCQ Objective Questions

If ‘+’ becomes ‘÷’ and ‘×’ becomes ‘+’ then what will be the value of {(36 + 6) + 6} × 12?

  1. 12
  2. 6
  3. 13
  4. 21

Answer (Detailed Solution Below)

Option 3 : 13

Equation Insert Question 6 Detailed Solution

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Given expression: {(36 + 6) + 6} × 12

After changing the symbols:

{(36 ÷ 6) ÷ 6} + 12

= {6 ÷ 6} + 12

= 1 + 12 = 13

Hence, “13” is the correct answer.

Symbol

+

×

Meaning

÷

+

Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

76 * 34 * 23 * 12 * 6 * 21 

  1. +, -, +, ÷, =
  2. -, -, +, +, =        
  3. ×, -, +, ÷, =
  4. -, -, +, ÷, = 

Answer (Detailed Solution Below)

Option 4 : -, -, +, ÷, = 

Equation Insert Question 7 Detailed Solution

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1. +, -, +, ÷, =

76 + 34 - 23 + 12 ÷ 6 = 21 

76 + 34 - 23 + 2 = 21

112 - 23 = 21

⇒ 89 ≠ 21 

2. -, -, +, +, =        

76 - 34 - 23 + 12 + 6 = 21 

⇒ 94 - 34 - 23 = 21 

94 - 57 = 21 

⇒ 37 ≠ 21 

3. ×, -, +, ÷, =

76 × 34 - 23 + 12 ÷ 6 = 21 

2584 - 23 + 2 = 21

2586 - 23 = 21

⇒ 2563 ≠ 21

4. -, -, +, ÷, = 

76 - 34 - 23 + 12 ÷ 6 = 21

⇒ 76 - 34 - 23 + 2 = 21

 78 - 34 - 23 = 21

 78 - 57 = 21

⇒ 21 = 21

Hence, '-, -, +, ÷, =' is the correct answer.

By interchanging which two signs the equation will be correct?

19 + 63 ÷ 7 – 8 × 12 = 79

  1. × and ÷
  2. – and ×
  3. ÷ and –
  4. × and +

Answer (Detailed Solution Below)

Option 2 : – and ×

Equation Insert Question 8 Detailed Solution

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Given equation:- 19 + 63 ÷ 7 – 8 × 12 = 79

By interchanging two signs,

1) × and ÷

19 + 63 × 7 – 8 ÷ 12 = 79

19 + 441 – 0.67 = 79

460 – 0.67 = 79

459.33 = 79

2) – and ×

19 + 63 ÷ 7 × 8 - 12 = 79

19 + 9 × 8 – 12 = 79

19 + 72 – 12 = 79

91 – 12 = 79

79 = 79

Here, option 2 is true so no need to check the remaining option.

Thus, the correct answer is “- and ×”.

Select the correct combination of mathematical signs to replace the * signs and balance the given equation.

21 * 4 * 156 * 13 * 11 = 83

  1. −, ÷, ×, +
  2. ×, +, ÷, −
  3. ×, −, ÷, +
  4. +, ÷, −, ×

Answer (Detailed Solution Below)

Option 3 : ×, −, ÷, +

Equation Insert Question 9 Detailed Solution

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Given : 21 * 4 * 156 * 13 * 11 = 83

According to the question, after replacing the * signs:

So,

  • Option - (1) : −, ÷, ×, +

21 - 4 ÷ 156 × 13 + 11 = 83

21 - 0.02 × 13 + 11 = 83

21 + 11 - 0.26 = 83

32 - 0.26 = 83

31.74 83 (LHS ≠ RHS)

  • Option - (2) : ×, +, ÷, −

​21 × 4 + 156 ÷ 13 - 11 = 83

21 × 4 + 12 - 11 = 83

84 + 12 - 11 = 83

96 - 11 = 83

85 83 (LHS ≠ RHS)

  • Option - (3) : ×, −, ÷, +

​21 × 4 - 156 ÷ 13 + 11 = 83

21 × 4 - 12 + 11 = 83

84 + 11 - 12 = 83

95 - 12 = 83

83 = 83 ( LHS = RHS)

  • Option - (4) : +, ÷, −, ×

​21 + 4 ÷ 156 - 13 × 11 = 83

21 + 0.02 - 13 × 11 = 83

21 + 0.02 - 143 = 83

21.02 - 143 = 83

- 121.98 83 (LHS ≠ RHS)

Hence, "Option - (3)" is the correct answer.

Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

16 * 3 * 2 * 11 * 9 = 22

  1. × ÷ + -
  2. × ÷ − +
  3. ÷ × + +
  4. ÷ + × ÷

Answer (Detailed Solution Below)

Option 2 : × ÷ − +

Equation Insert Question 10 Detailed Solution

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The pattern followed here is:

We have to put the mathematical signs to sequentially replace the * signs and balance the given equation.

Let's check each option one by one.

Option 1) × ÷ + -

Given: 16 * 3 * 2 * 11 * 9 = 22

⇒ 16 × 3 ÷ 2 + 11 - 9 = 22

16 × 1.5 + 11 - 9 = 22

24 + 11 - 9 = 22

35 - 9 = 22

⇒ 26 ≠ 22 

⇒ LHS ≠ RHS

Option 2) × ÷ − +

Given: 16 * 3 * 2 * 11 * 9 = 22

⇒ 16 × 3 ÷ 2 - 11 + 9 = 22

⇒ 16 × 1.5 - 11 + 9 = 22

24 - 11 + 9 = 22

33 - 11 = 22

⇒ 22 = 22

⇒ LHS = RHS

Option 3) ÷ × + +

Given: 16 * 3 * 2 * 11 * 9 = 22

16 ÷ 3 × 2 + 11 + 9 = 22

5.33 × 2 + 11 + 9 = 22

⇒ 10.6 + 11 + 9 = 22

⇒ 30.6 ≠ 22

⇒ LHS ≠ RHS

Option 4) ÷ + × ÷

Given: 16 * 3 * 2 * 11 * 9 = 22

⇒ 16 ÷ 3 + 2 × 11 ÷ 9 = 22 

⇒ 5.33 + 2 × 1.22 = 22

5.33 + 2.44 = 22

⇒ 7.77 ≠ 22

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 2".

Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.

256 * 4 * 9 * 3 * 14 = 51

  1. × + − ÷
  2. ÷ × − +
  3. × ÷ + −
  4. ÷ − × +

Answer (Detailed Solution Below)

Option 4 : ÷ − × +

Equation Insert Question 11 Detailed Solution

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1. × + − ÷

256 × 4 + 9 - 3 ÷ 14 = 51

1024 + 9 - 0.21 = 51

1033 - 0.21 = 51

⇒ 1032.79 ≠ 51

2. ÷ × − +

256 ÷ 4 × 9 - 3 + 14 = 51

6× 9 - 3 + 14 = 51

576 - 3 + 14 = 51

590 - 3 = 51

⇒ 587 ≠ 51

3. × ÷ + −

256 × 4 ÷ 9 + 3 - 14 = 51

⇒ 256 × 0.45 + 3 - 14 = 51

115.2 + 3 - 14 = 51

118.2 - 14 = 51

⇒ 104.2 ≠ 51

4. ÷ − × +

256 ÷ 49 × 3 + 14 = 51

64 - 27 + 14 = 51

78 - 27 = 51

⇒ 51 = 51

Hence, '÷ − × +' is the correct answer.

Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

234 * 345 * 456 * 567 * 678 * 12

  1. -, +, +, -, =
  2. ÷, -, +, -, =
  3. +, ×, +, -, =
  4. +, -, +, -, =

Answer (Detailed Solution Below)

Option 4 : +, -, +, -, =

Equation Insert Question 12 Detailed Solution

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Given : 234 * 345 * 456 * 567 * 678 * 12

Checking all the options one by one by BODMAS rule we get,

1. -, +, +, -, =

234 - 345 + 456 + 567  - 678 = 12

1257 - 333 = 12

924  12 

2. ÷, -, +, -, =

 234 ÷ 345 - 456 + 567 - 678  = 12

0.67 - 456 + 567 - 678 = 12

567.67 - 456 - 678 = 12

566.33 ≠ 12

3.+, ×, +, -, =

 234 + 345  × 456  + 567 - 678  = 12

 234 +157320 + 567 - 678 = 12 

158121 - 678 = 12 

157443 ≠ 12

4+, -, +, -, =

 234 + 345  - 456  + 567 - 678 = 12

1146 - 456 - 678 = 12 

1146 - 1134 = 12 

12 = 12 

Hence, "Option 4" is the correct answer.

If 7Ω6 = 90 , 8Ω7 = 118 and 8Ω4 = 85, then find the value of 3Ω4.

  1. 24
  2. 12
  3. 25
  4. 30

Answer (Detailed Solution Below)

Option 4 : 30

Equation Insert Question 13 Detailed Solution

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The pattern followed here is,

72 + 62 = 49 + 36 = 85;  85 + 5 = 90

82 + 72 = 64 + 49 = 113; 113 + 5 = 118

82 + 42 = 64 + 16 = 80 ; 80 + 5 = 85

Similarly,

32 + 42 = 9 + 16 = 25;  25 + 5 = 30

Hence, 30 is the correct answer.

Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.

50 * 25 * 10 * 2 * 175

  1. +, ÷, ×, =
  2. −, ×, ÷, =
  3. −, ×, +, =
  4. +, ×, ÷, =

Answer (Detailed Solution Below)

Option 4 : +, ×, ÷, =

Equation Insert Question 14 Detailed Solution

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The pattern followed here is:

We have to replace the mathematical signs to sequentially replace the * signs to balance the given equation.

Let's check each option one by one.

Option 1) +, ÷, ×, =

Given: 50 * 25 * 10 * 2 * 175

After putting the mathematical sign we get the;

⇒ 50 + 25 ÷ 10 × 2 = 175

⇒ 50 + 2.5 × 2 = 175

⇒ 50 + 5 = 175

⇒ 55 ≠ 175

⇒ LHS ≠ RHS

Option 2) −, ×, ÷, =

Given: 50 * 25 * 10 * 2 * 175

After putting the mathematical sign we get the;

⇒ 50 - 25 × 10 ÷ 2 = 175

⇒ 50 - 25 × 5 = 175

50 - 125 = 175

⇒ - 75 ≠ 175

⇒ LHS ≠ RHS

Option 3) −, ×, +, =

Given: 50 * 25 * 10 * 2 * 175

After putting the mathematical sign we get the;

⇒ 50 - 25 × 10 + 2 = 175

50 - 250 + 2 = 175

⇒ 52 - 250 = 175

⇒ - 198 ≠ 175

⇒ LHS ≠ RHS

Option 4) +, ×, ÷, =

Given: 50 * 25 * 10 * 2 * 175

After putting the mathematical sign we get the;

⇒ 50 + 25 × 10 ÷ 2 = 175

⇒ 50 + 25 × 5 = 175

50 + 125 = 175

⇒ 175 = 175

⇒ LHS = RHS

Hence, the correct answer is "Option 4".

Select the correct combination of mathematical signs to sequentially replace the *signs and balance the given equation.

65 * 45 * 25 * 5 * 35 * 60

  1. -, +, -, +, =
  2. +, ×, +, -, = 
  3. +, -, +, -, =
  4. -, +, ÷, +, =

Answer (Detailed Solution Below)

Option 4 : -, +, ÷, +, =

Equation Insert Question 15 Detailed Solution

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Given : 65 * 45 * 25 * 5 * 35 * 60

According to the question, by replacing the *signs :

So,

  • Option - (1) : -, +, -, +, =

​65 - 45 + 25 - 5 + 35 = 60

65 + 25 + 35 - 45 - 5 = 60

125 - 45 - 5 = 60

75 ≠ 60 (LHS ≠ RHS) 

  • Option - (2) : +, ×, +, -, = 

65 + 45 × 25 + 5 - 35 = 60

65 + 1125 + 5 - 35 = 60

1195 - 35 = 60

1160 ≠ 60 (LHS ≠ RHS) 

  • Option - (3) : +, -, +, -, =

65 + 45 - 25 + 5 - 35 = 60

110 - 25 + 5 - 35 = 60

55 ≠ 60 (LHS ≠ RHS)

  • Option - (4) : -, +, ÷, +, =

​65 - 45 + 25 ÷​ 5 + 35 = 60

65 + 5 + 35 - 45 = 60

105 - 45 = 60

60 = 60 (LHS = RHS)

Hence, "Option - (4)" is the correct answer.

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