Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 8 and 2
Option 1: 7 ÷ 2 – 8 × 4 + 1 = 0
Option 2: 2 × 4 – 8 + 5 ÷ 1 = 50
Option 3: 8 × 4 + 6 – 2 ÷ 1 = 6
Option 4: 8 × 4 – 9 ÷ 3 + 2 = 35
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Correct Answer: 8 × 4 + 6 – 2 ÷ 1 = 6
Solution : Let's check the options –
First option: 7 ÷ 2 – 8 × 4 + 1 = 0 After replacing the digits the equation becomes – →7 ÷ 8 – 2 × 4 + 1 = 0 = 0.87 – 8 + 1 = 8.6 ≠ 0 Second option: 2 × 4 – 8 + 5 ÷ 1 = 50 After replacing the digits the equation becomes – →8 × 4 – 2 + 5 ÷ 1 = 50 = 32 – 2 + 5 = 35 ≠ 50 Third option: 8 × 4 + 6 – 2 ÷ 1 = 6 After replacing the digits the equation becomes – →2 × 4 + 6 – 8 ÷ 1 = 8 + 6 – 8 = 6 Fourth option: 8 × 4 – 9 ÷ 3 + 2 = 35 After replacing the digits the equation becomes – →2 × 4 – 9 ÷ 3 + 8 = 2 × 4 – 3 + 8 = 8 – 3 + 8 = 13 ≠ 35
So, only in the third option L.H.S. = R.H.S. of the equation. Hence, the third option is correct.
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Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? – and +, 6 and 3
Option 1: 7 – 3 × 2 ÷ 6 + 4 = 17
Option 2: 8 × 3 – 6 + 4 ÷ 2 = 49
Option 3: 7 + 6 ÷ 3 × 8 – 5 = 35
Option 4: 9 – 6 ÷ 4 + 3 × 7 = 8
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 7 and 9
Option 1: 8 × 3 ÷ 6 + 9 – 7 = 2
Option 2: 7 + 6 – 9 × 4 ÷ 2 = 2
Option 3: 9 + 4 × 3 – 7 ÷ 1 = 10
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 14
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 6 and 4
Option 1: 3 × 9 – 4 ÷ 2 + 6 = 8
Option 2: 8 × 6 + 4 ÷ 2 – 5 = –5
Option 3: 8 – 3 × 6 + 4 ÷ 1 = 18
Option 4: 7 × 6 – 4 + 9 ÷ 3 = –7
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 7 and 4
Option 1: 8 ÷ 6 × 9 + 7 – 4 = 12
Option 2: 7 × 8 + 4 – 6 ÷ 3 = 37
Option 3: 9 – 4 × 3 + 6 × 7 ÷ 1 = 12
Option 4: 4 × 8 – 9 ÷ 3 + 7 = 57
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