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
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Correct Answer: 4 × 3 – 1 + 8 ÷ 2 = 9
Solution : Given: ÷ and ×, 1 and 3
Let's check the options – First option: 6 ÷ 3 – 1 + 4 × 2 = 5 On replacing the numbers and mathematical signs, the equation becomes – ⇒ 6 × 1 – 3 + 4 ÷ 2 = 5 Solving the L.H.S. of the given equation – = 6 × 1 – 3 + 4 ÷ 2 = 6 × 1 – 3 + 2 = 6 – 3 + 2 = 5 Second option: 4 × 3 – 1 + 8 ÷ 2 = 9 On replacing the numbers and mathematical signs, the equation becomes – ⇒ 4 ÷ 1 – 3 + 8 × 2 = 9 Solving the L.H.S. of the given equation – = 4 ÷ 1 – 3 + 8 × 2 = 4 – 3 + 16 = 17 ≠ 9 Third option: 5 – 8 × 3 + 9 ÷ 1 = 24 On replacing the numbers and mathematical signs, the equation becomes – ⇒ 5 – 8 ÷ 1 + 9 × 3 = 24 Solving the L.H.S. of the given equation – = 5 – 8 ÷ 1 + 9 × 3 = 5 – 8 + 9 × 3 = 5 – 8 + 27 = 24 Fourth option: 6 + 4 – 9 × 3 ÷ 1 = –17 On replacing the numbers and mathematical signs, the equation becomes – ⇒ 6 + 4 – 9 ÷ 1 × 3 = –17 Solving the L.H.S. of the given equation – = 6 + 4 – 9 ÷ 1 × 3 = 6 + 4 – 9 × 3 = 6 + 4 – 27 = –17
So, only the second option does not satisfy the equation after interchanging the signs and numbers. 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
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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 3
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