Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? × and ÷, 2 and 6 I. 7 – 4 × 3 ÷ 6 + 2 = 8 II. 6 – 8 × 2 + 9 ÷ 3 = 5
Option 1: Only II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Both I and II
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Correct Answer: Both I and II
Solution : Given: I. 7 – 4 × 3 ÷ 6 + 2 = 8 II. 6 – 8 × 2 + 9 ÷ 3 = 5
Let's check each equation after interchanging signs and numbers according to the instructions. On interchanging the signs and numbers in the first equation, we get – ⇒ 7 – 4 ÷ 3 × 2 + 6 = 8 Solving the L.H.S. of the equation – = 7 – 4 ÷ 3 × 2 + 6 = 7 – 1.33 × 2 + 6 = 7 – 2.67 + 6 = 10.33 ≠ 6 On interchanging the signs and numbers in the second equation, we get – ⇒ 2 – 8 ÷ 6 + 9 × 3 = 5 Solving the L.H.S. of the equation – = 2 – 8 ÷ 6 + 9 × 3 = 2 – 1.33 + 9 × 3 = 2 – 1.33 + 27 = 27.67 ≠ 5
So, both the equations are not correct after interchanging the signs and numbers. 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 not correct? × and –, 8 and 4 I. 4 + 3 × 8 – 2 ÷ 1 = 3 II. 8 × 2 – 4 + 6 ÷ 2 = 11
Option 1: Both I and II
Option 2: Only II
Option 3: Neither I nor II
Option 4: Only I
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? × and +, 7 and 4 I. 7 × 8 + 4 – 6 ÷ 3 = 57 II. 4 × 8 – 9 ÷ 3 + 7 = 3
Option 2: Only I
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? – and ÷, 8 and 2 I. 5 + 7 – 8 × 4 ÷ 2 = 9 II. 3 + 8 × 4 –2 ÷ 1 = 3
Option 1: Neither I nor II
Option 3: Both I and II
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? + and ×, 5 and 4 I. 4 + 8 × 5 – 7 ÷ 1 = 37 II. 5 × 3 – 4 + 6 ÷ 2 = – 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: 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
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