Question : Directions: Which two signs should be interchanged to make the given equation correct?
12 + 156 ÷ 13 × 6 – 100 = 50
Option 1: ÷ and ×
Option 2: + and ×
Option 3: – and ×
Option 4: ÷ and –
Correct Answer: + and ×
Solution :
Given:
12 + 156 ÷ 13 × 6 – 100 = 50
Let's check the options –
First option:
÷ and ×
⇒ 12 + 156 × 13 ÷ 6 – 100 = 50
Solving the L.H.S. of the equation –
= 12 + 338 – 100
= 250 ≠ 50
Second option:
+ and ×
⇒ 12 × 156 ÷ 13 + 6 – 100 = 50
Solving the L.H.S. of the equation –
= 12 × 12 + 6 – 100
= 144 + 6 – 100
= 50
Third option:
– and ×
⇒ 12 + 156 ÷ 13 – 6 × 100 = 50
Solving the L.H.S. of the equation –
= 12 + 12 – 6 × 100
= 12 + 12 – 600
= –576 ≠ 50
Fourth option:
÷ and –
⇒ 12 + 156 – 13 × 6 ÷ 100 = 50
Solving the L.H.S. of the equation –
= 12 + 156 – 13 × 0.06
= 12 + 156 – 0.78
= 167.22 ≠ 50
So, only the second option satisfies the given equation. Hence, the second option is correct.
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