Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively? × and +, 3 and 9 I. 7 × 9 – 8 ÷ 2 + 3 II. 4 × 9 – 3 + 8 ÷ 2
Option 1: 0, 1
Option 2: –26, –29
Option 3: 6, 0
Option 4: 12, 13
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Correct Answer: –26, –29
Solution : Given: × and +, 3 and 9 I. 7 × 9 – 8 ÷ 2 + 3 II. 4 × 9 – 3 + 8 ÷ 2
Equation I: 7 × 9 – 8 ÷ 2 + 3 On replacing the given symbols and numbers in the given equation, we get – = 7 + 3 – 8 ÷ 2 × 9 = 7 + 3 – 4 × 9 = 7 + 3 – 36 = 10 – 36 = –26 Equation II: 4 × 9 – 3 + 8 ÷ 2 On replacing the given symbols and numbers in the given equation, we get – = 4 + 3 – 9 × 8 ÷ 2 = 4 + 3 – 9 × 4 = 4 + 3 – 36 = 7 – 36 = –29
So, –26 and –29 are the required answers to the given equations. Hence, the second option is correct.
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