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
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Correct Answer: 8 × 3 – 6 + 4 ÷ 2 = 49
Solution : Let's check the options – First option: 7 – 3 × 2 ÷ 6 + 4 = 17 On interchanging the mathematical signs and numbers, we get – ⇒ 7 + 6 × 2 ÷ 3 – 4 = 17 Solving the L.H.S. of the equation – = 7 + 6 × 2 ÷ 3 – 4 = 7 + 4 – 4 = 11 – 4 = 7 ≠ 17 Second option: 8 × 3 – 6 + 4 ÷ 2 = 49 On interchanging the mathematical signs and numbers, we get – ⇒ 8 × 6 + 3 – 4 ÷ 2 = 49 Solving the L.H.S. of the equation – = 8 × 6 + 3 – 4 ÷ 2 = 8 × 6 + 3 – 2 = 48 + 3 – 2 = 51 – 2 = 49 Third option: 7 + 6 ÷ 3 × 8 – 5 = 35 On interchanging the mathematical signs and numbers, we get – ⇒ 7 – 3 ÷ 6 × 8 + 5 = 35 Solving the L.H.S. of the equation – = 7 – 3 ÷ 6 × 8 + 5 = 7 – 4 + 5 = 12 – 4 = 8 ≠ 35 Fourth option: 9 – 6 ÷ 4 + 3 × 7 = 8 On interchanging the mathematical signs and numbers, we get – ⇒ 9 + 3 ÷ 4 – 6 × 7 = 8 Solving the L.H.S. of the equation – = 9 + 3 ÷ 4 – 6 × 7 = 9 + 0.75 – 6 × 7 = 9 + 0.75 – 42 = 9.75 – 42 = –32.25 ≠ 8
So, only the second option satisfies the given equation. Hence, the second 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 ÷, 7 and 9
Option 1: 9 – 7 × 2 + 6 ÷ 3 = 11
Option 2: 9 + 4 × 3 – 7 ÷ 1 = 40
Option 3: 8 × 3 ÷ 6 + 9 – 7 = 14
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 18
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 signs and numbers which of the following equations will be correct? + and –, 7 and 6
Option 1: 4 × 7 + 6 – 3 ÷ 1 = 20
Option 2: 8 × 7 + 5 ÷ 1 – 6 = 17
Option 3: 7 – 6 × 3 + 4 ÷ 1 = 8
Option 4: 7 × 2 – 6 + 4 ÷ 2 = 13
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and ÷
Option 1: 18 + 6 – 6 ÷ 3 × 3 = 6
Option 2: 18 + 2 × 6 ÷ 3 – 7 = 50
Option 3: 7 × 8 ÷ 4 + 2 – 6 = 49
Option 4: 6 × 9 + 3 – 24 ÷ 8 = 2
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