Question : Directions: By interchanging the given two signs and numbers, which of the following equations will be correct? + and ×, 1 and 2
Option 1: 8 × 3 – 4 ÷ 2 + 1 = 7
Option 2: 2 × 3 – 8 ÷ 1 + 9 = 18
Option 3: 8 × 3 – 4 ÷ 2 + 1 = 3
Option 4: 2 × 3 – 8 ÷ 1 + 2 = 5
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Correct Answer: 8 × 3 – 4 ÷ 2 + 1 = 3
Solution : Let's check the options – First option: 8 × 3 – 4 ÷ 2 + 1 = 7 On interchanging the mathematical signs and numbers, we get – ⇒ 8 + 3 – 4 ÷ 1 × 2 = 7 Solving the L.H.S. of the equation – = 8 + 3 – 4 ÷ 1 × 2 = 8 + 3 – 4 × 2 = 8 + 3 – 8 = 11 – 8 = 3 ≠ 7 Second option: 2 × 3 – 8 ÷ 1 + 9 = 18 On interchanging the mathematical signs and numbers, we get – ⇒ 1 + 3 – 8 ÷ 2 × 9 = 18 Solving the L.H.S. of the equation – = 1 + 3 – 8 ÷ 2 × 9 = 1 + 3 – 4 × 9 = 1 + 3 – 36 = 4 – 36 = –32 ≠ 18 Third option: 8 × 3 – 4 ÷ 2 + 1 = 3 On interchanging the mathematical signs and numbers, we get – ⇒ 8 + 3 – 4 ÷ 1 × 2 = 3 Solving the L.H.S. of the equation – = 8 + 3 – 4 ÷ 1 × 2 = 8 + 3 – 4 × 2 = 8 + 3 – 8 = 11 – 8 = 3 Fourth option: 2 × 3 – 8 ÷ 1 + 2 = 5 On interchanging the mathematical signs and numbers, we get – ⇒ 1 + 3 – 8 ÷ 2 × 1 = 5 Solving the L.H.S. of the equation – = 1 + 3 – 8 ÷ 2 × 1 = 1 + 3 – 4 × 1 = 1 + 3 – 4 = 4 – 4 = 0 ≠ 5
So, only the third option satisfies the given 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 +, 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 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 +, 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 not be correct? ÷ and ×, 1 and 3
Option 1: 6 ÷ 3 – 1 + 4 × 2 = 5
Option 2: 4 × 3 – 1 + 8 ÷ 2 = 9
Option 3: 5 – 8 × 3 + 9 ÷ 1 = 24
Option 4: 6 + 4 – 9 × 3 ÷ 1 = –17
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 2 and 4
Option 1: 9 – 5 ÷ 4 × 2 + 8 = 80
Option 2: 7 × 4 – 2 ÷ 1 + 5 = 13
Option 3: 7 – 8 ÷ 2 + 16 × 4 = 18
Option 4: 5 + 7 × 4 – 8 ÷ 2 = 5
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