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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Question : Directions: Which two signs should be interchanged to make the given equation correct? 4 × 7 + 36 – 12 ÷ 6 = 25
Option 1: + and –
Option 2: × and –
Option 3: ÷ and ×
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Option 1: – and ×
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