Question : Directions: Which two signs should be interchanged, to make the given equation correct? 11 – 2 × 16 + 19 = 25
Option 1: – and +
Option 2: = and +
Option 3: – and ×
Option 4: × and +
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Correct Answer: – and ×
Solution : Given: 11 – 2 × 16 + 19 = 25
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: – and + 11 – 2 × 16 + 19 = 25 ⇒ 11 + 2 × 16 – 19 ⇒ 11 + 32 – 19 = 24 ⇒ 24 ≠ 25 Second option: = and + 11 – 2 × 16 + 19 = 25 ⇒ 11 – 2 × 16 = 19 + 25 ⇒ 11 – 32 = 44 ⇒ –21 ≠ 44 Third option: – and × 11 – 2 × 16 + 19 = 25 ⇒ 11 × 2 – 16 + 19 = 25 ⇒ 22 – 16 + 19 = 25 ⇒ 25 = 25 Fourth option: × and + 11 – 2 × 16 + 19 = 25 ⇒ 11 – 2 + 16 × 19 = 25 ⇒ 11 – 2 + 304 = 25 ⇒ 313 ≠ 25
So, only the third option satisfies the equation. Hence, the third option is correct.
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