Question : Directions: Which two signs should be interchanged to make the given equation correct?
459 + 17 × 12 ÷ 72 – 47 = 349
Option 1: ÷ and +
Option 2: ÷ and –
Option 3: + and ×
Option 4: – and +
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Correct Answer: ÷ and +
Solution :
Given:
459 + 17 × 12 ÷ 72 – 47 = 349
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and +
⇒ 459 ÷ 17 × 12 + 72– 47 = 349
= 27 × 12 + 72 – 47
= 324 + 72 – 47
= 349
Second option:
÷ and –
⇒ 459 + 17 × 12 – 72 ÷ 47 = 349
= 459 + 17 × 12 – 1.53
= 459 + 204 – 1.53
= 661.47 ≠ 349
Third option:
+ and ×
⇒ 459 × 17 + 12 ÷ 72 – 47 = 349
= 459 × 17 + 0.167 – 47
= 7803 + 0.167 – 47
= 7756.167 ≠ 349
Fourth option:
– and +
⇒ 459 – 17 × 12 ÷ 72 + 47 = 349
= 459 – 17 × 0.167 + 47
= 459 – 2.839 + 47
= 503.161 ≠ 349
So, only the first option satisfies the equation. Hence, the first option is correct.
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