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
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 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 +, 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 signs and numbers which of the following equations will be correct? + and –, 6 and 3
Option 1: 8 – 3 × 4 ÷ 6 + 9 = 18
Option 2: 8 + 4 × 6 ÷ 3 – 9 = 15
Option 3: 9 ÷ 3 × 4 – 6 + 7 = 10
Option 4: 6 ÷ 2 × 8 + 3 – 1 = 20
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and –
Option 1: 8 ÷ 4 × 6 + 5 – 9 = 16
Option 2: 15 + 3 × 4 – 6 ÷ 2 = 6
Option 3: 3 × 2 – 72 ÷ 6 + 8 = 18
Option 4: 3 + 4 – 2 × 5 ÷ 1 = 9
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