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
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Correct Answer: 7 × 6 – 4 + 9 ÷ 3 = –7
Solution : Given: × and +, 6 and 4
Let's check the given options – First option: 3 × 9 – 4 ÷ 2 + 6 = 8 On interchanging the signs and numbers, we get – 3 + 9 – 6 ÷ 2 × 4 = 8 Solving the L.H.S. of the equation – = 3 + 9 – 6 ÷ 2 × 4 = 3 + 9 – 3 × 4 = 3 + 9 – 12 = 12 – 12 = 0 ≠ 8 Second option: 8 × 6 + 4 ÷ 2 – 5 = –5 On interchanging the signs and numbers, we get – 8 + 4 × 6 ÷ 2 – 5 = –5 Solving the L.H.S. of the equation – = 8 + 4 × 6 ÷ 2 – 5 = 8 + 4 × 3 – 5 = 8 + 12 – 5 = 20 – 5 = 15 ≠ –5 Third option: 8 – 3 × 6 + 4 ÷ 1 = 18 On interchanging the signs and numbers, we get – 8 – 3 + 4 × 6 ÷ 1 = 18 Solving the L.H.S. of the equation – = 8 – 3 + 4 × 6 ÷ 1 = 8 – 3 + 4 × 6 = 8 – 3 + 24 = 32 – 3 = 29 ≠ 18 Fourth option: 7 × 6 – 4 + 9 ÷ 3 = –7 On interchanging the signs and numbers, we get – 7 + 4 – 6 × 9 ÷ 3 = –7 Solving the L.H.S. of the equation – = 7 + 4 – 6 × 9 ÷ 3 = 7 + 4 – 6 × 3 = 7 + 4 – 18 = 11 – 18 = –7
So, from the above, only the fourth option satisfies the given equation. Hence, the fourth 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 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 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 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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