Question : Directions: Which two signs should be interchanged to make the given equation correct? 551 ÷ 19 – 16 × 12 + 121 = 100
Option 1: – and ×
Option 2: + and ×
Option 3: ÷ and ×
Option 4: + and –
Correct Answer: + and –
Solution : Given: 551 ÷ 19 – 16 × 12 + 121 = 100
Let's check the options – First option: – and × On interchanging the mathematical signs, we get – = 551 ÷ 19 × 16 – 12 + 121 = 29 × 16 – 12 + 121 = 464 – 12 + 121 = 585 – 12 = 573 ≠ 100 Second option: + and × On interchanging the mathematical signs, we get – = 551 ÷ 19 – 16 + 12 × 121 = 29 – 16 + 12 × 121 = 29 – 16 + 1452 = 1481 – 16 = 1465 ≠ 100 Third option: ÷ and × On interchanging the mathematical signs, we get – = 551 × 19 – 16 ÷ 12 + 121 = 551 × 19 – 1.33 + 121 = 10469 – 1.33 + 121 = 10590 – 1.33 = 10588.67 ≠ 100 Fourth option: + and – On interchanging the mathematical signs, we get – = 551 ÷ 19 + 16 × 12 – 121 = 29 + 16 × 12 – 121 = 29 + 192 – 121 = 221 – 121 = 100
Only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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