Question : Directions: By interchanging the given two signs which of the following equations will not be correct? – and ÷
Option 1: 20 × 8 – 4 ÷ 2 + 7 = 50
Option 2: 35 – 5 + 8 ÷ 4 × 3 = 3
Option 3: 10 + 8 × 6 – 4 ÷ 2 = 20
Option 4: 12 – 4 + 11 × 3 ÷ 8 = 28
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Correct Answer: 20 × 8 – 4 ÷ 2 + 7 = 50
Solution : Let's check each option – First Option: 20 × 8 – 4 ÷ 2 + 7 = 50 On interchanging the mathematical signs, we get – 20 × 8 ÷ 4 – 2 + 7 = 50 On solving the L.H.S. of the equation – = 20 × 2 – 2 + 7 = 40 – 2 + 7 = 47 – 2 = 45 ≠ 50 Second Option: 35 – 5 + 8 ÷ 4 × 3 = 3 On interchanging the mathematical signs, we get – 35 ÷ 5 + 8 – 4 × 3 = 3 On solving the L.H.S. of the equation – = 7 + 8 – 4 × 3 = 7 + 8 – 12 = 15 – 12 = 3 Third Option: 10 + 8 × 6 – 4 ÷ 2 = 20 On interchanging the mathematical signs, we get – 10 + 8 × 6 ÷ 4 – 2 = 20 On solving the L.H.S. of the equation – = 10 + 8 × 1.5 – 2 = 10 + 12 – 2 = 22 – 2 = 20 Fourth Option: 12 – 4 + 11 × 3 ÷ 8 = 28 On interchanging the mathematical signs, we get – 12 ÷ 4 + 11 × 3 – 8 = 28 On solving the L.H.S. of the equation – = 3 + 11 × 3 – 8 = 3 + 33 – 8 = 36 – 8 = 28
So, only the first option does not satisfy the equation. Hence, the first option is correct.
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Question : Directions: By interchanging the given two signs which of the following equations will be correct? ÷ and +
Option 1: 8 + 4 × 5 ÷ 2 – 6 = 7
Option 2: 16 + 8 × 2 ÷ 6 – 4 = 8
Option 3: 18 + 2 × 6 ÷ 3 – 7 = 50
Option 4: 11 + 8 × 16 ÷ 4 – 7 = 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 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
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
Option 1: 12 ÷ 8 × 12 + 6 – 7 = 21
Option 2: 9 – 3 + 12 × 8 ÷ 4 = 11
Option 3: 46 + 23 ÷ 14 × 5 – 6 = 66
Option 4: 6 + 20 ÷ 12 × 7 – 11 = 70
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