Question : Directions: Which two signs and two numbers (Not digits) of the equation should be interchanged to make it correct? 13 × 12 ÷ 36 + 11 – 7 = 35
Option 1: + and ×, 36 and 7
Option 2: + and –, 12 and 7
Option 3: × and ÷, 13 and 36
Option 4: × and ÷,11 and 7
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Correct Answer: × and ÷,11 and 7
Solution : Given: 13 × 12 ÷ 36 + 11 – 7 = 35
Let's check the given options – First option: + and ×, 36 and 7 13 × 12 ÷ 36 + 11 – 7 = 35 On interchanging the mathematical signs and numbers, we get – = 13 + 12 ÷ 7 × 11 – 36 = 13 + 1.71 × 11 – 36 = 13 + 18.81 – 36 = 31.81 – 36 = –4.19 ≠ 35 Second option: + and –, 12 and 7 13 × 12 ÷ 36 + 11 – 7 = 35 On interchanging the mathematical signs and numbers, we get – = 13 × 7 ÷ 36 – 11 + 12 = 13 × 0.19 – 11 + 12 = 2.47 – 11 + 12 = 3.47 ≠ 35 Third option: × and ÷, 13 and 36 13 × 12 ÷ 36 + 11 – 7 = 35 On interchanging the mathematical signs and numbers, we get – = 36 ÷ 12 × 13 + 11 – 7 = 3 × 13 + 11 – 7 = 39 + 11 – 7 = 50 – 7 = 43 ≠ 35 Fourth option: × and ÷,11 and 7 13 × 12 ÷ 36 + 11 – 7 = 35 On interchanging the mathematical signs and numbers, we get – = 13 ÷ 12 × 36 + 7 – 11 = 39 + 7 – 11 = 46 – 11 = 35
So, the fourth option satisfies the R.H.S. of the equation. Hence, the fourth option is correct.
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