Question : Directions: Which two numbers should be interchanged, to make the given equation correct? 96 ÷ 6 – 16 + 12 × 8 = 40
Option 1: 6 and 16
Option 2: 96 and 16
Option 3: 6 and 8
Option 4: 6 and 12
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Correct Answer: 6 and 12
Solution : Given: 96 ÷ 6 – 16 + 12 × 8 = 40
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 6 and 16 96 ÷ 6 – 16 + 12 × 8 = 40 ⇒ 96 ÷ 16 – 6 + 12 × 8 = 40 ⇒ 6 – 6 + 12 × 8 ⇒ 96 ⇒ 96 ≠ 40 Second option: 96 and 16 96 ÷ 6 – 16 + 12 × 8 = 40 ⇒ 16 ÷ 6 – 96 + 12 × 8 = 40 ⇒ 2.66 – 96 + 12 × 8 ⇒ 2.66 – 96 + 96 ⇒ 2.66 ≠ 40 Third option: 6 and 8 96 ÷ 6 – 16 + 12 × 8 = 40 ⇒ 96 ÷ 8 – 16 + 12 × 6 = 40 ⇒ 12 – 16 + 12 × 6 ⇒ 12 – 16 + 72 = 68 ⇒ 68 ≠ 40 Fourth option: 6 and 12 96 ÷ 6 – 16 + 12 × 8 = 40 ⇒ 96 ÷ 12 – 16 + 6 × 8 = 40 ⇒ 8 – 16 + 6 × 8 ⇒ 8 – 16 + 48 = 40 ⇒ 40 = 40
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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Question : Directions: Which two numbers should be interchanged to make the given equation correct? 96 ÷ 3 – 24 + 16 × 8 = 36
Option 1: 8 and 3
Option 2: 24 and 3
Option 3: 96 and 24
Option 4: 8 and 16
Question : Directions: Which two numbers should be interchanged, to make the given equation correct? 192 ÷ 12 × 6 + 16 – 18 = 66
Option 1: 16 and 18
Option 2: 16 and 6
Option 3: 6 and 18
Option 4: 16 and 12
Question : Directions: Which two numbers should be interchanged to make the given equation correct? 4 + 40 × 5 – 16 ÷ 8 = 79
Option 1: 16 and 4
Option 2: 4 and 40
Option 3: 5 and 16
Option 4: 40 and 16
Question : Directions: Which two signs should be interchanged to make the given equation correct? 12 + 4 ÷ 2 – 6 = 16
Option 1: – and =
Option 2: + and –
Option 3: ÷ and =
Option 4: ÷ and +
Question : Directions: Which two signs should be interchanged to make the given equation correct? 8 = 5 – 31 + 12 ÷ 2 × 15
Option 1: + and ÷
Option 2: × and =
Option 3: ÷ and –
Option 4: – and +
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