Question : Directions: Which of the following interchanges of signs would make the given equation correct?
50 – 25 ÷ 5 × 3 + 6 = 59
Option 1: + and ×
Option 2: ÷ and +
Option 3: × and –
Option 4: – and +
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Correct Answer: – and +
Solution :
Given:
50 – 25 ÷ 5 × 3 + 6 = 59
Replace the given symbols in the options one by one with the original symbols in the given equation.
Let's check the options –
First option:
+ and ×
= 50 – 25 ÷ 5 + 3 × 6
= 50 – 5 + 3 × 6
= 50 – 5 + 18
= 63 ≠ 59
Second option:
÷ and +
= 50 – 25 + 5 × 3 ÷ 6
= 50 – 25 + 2.5
= 27.5 ≠ 59
Third option:
× and –
= 50 × 25 ÷ 5 – 3 + 6
= 50 × 5 – 3 + 6
= 250 – 3 + 6
= 253 ≠ 59
Fourth option:
– and +
= 50 + 25 ÷ 5 × 3 – 6
= 50 + 5 × 3 – 6
= 50 + 15 – 6
= 59
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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