Question : Directions: Which two numbers (not digits) should be interchanged to make the given equation correct?
5 – 6 ÷ 3 × 9 + 1 = 0
Option 1: 1 and 0
Option 2: 6 and 9
Option 3: 5 and 9
Option 4: 6 and 3
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Correct Answer: 5 and 9
Solution :
Given:
5 – 6 ÷ 3 × 9 + 1 = 0
Let's check the options –
First option:
1 and 0
5 – 6 ÷ 3 × 9 + 1 = 0
On interchanging the numbers, we get –
⇒ 5 – 6 ÷ 3 × 9 + 0 = 1
⇒ 5 – 2 × 9 + 0 = 1
⇒ 5 – 18 + 0 = 1
⇒ –13 ≠ 1
Second option:
6 and 9
5 – 6 ÷ 3 × 9 + 1 = 0
On interchanging the numbers, we get –
⇒ 5 – 9 ÷ 3 × 6 + 1 = 0
⇒ 5 – 3 × 6 + 1 = 0
⇒ 5 – 18 + 1 = 0
⇒ –12 ≠ 0
Third option:
5 and 9
5 – 6 ÷ 3 × 9 + 1 = 0
On interchanging the numbers, we get –
⇒ 9 – 6 ÷ 3 × 5 + 1 = 0
⇒ 9 – 2 × 5 + 1 = 0
⇒ 9 – 10 + 1 = 0
⇒ 0
Fourth option:
6 and 3
5 – 6 ÷ 3 × 9 + 1 = 0
On interchanging the numbers, we get –
⇒ 5 – 3 ÷ 6 × 9 + 1 = 0
⇒ 5 – 0.5 × 9 + 1 = 0
⇒ 5 – 4.5 + 1 = 0
⇒ 1.5 ≠ 0
Here, only the third option satisfies the equation. Hence, the third option is correct.
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