Question : Directions: Which two numbers should be interchanged to make the given equation correct? 5 × 7 – 4 + 21 ÷ 6 = 29
Option 1: 6 and 5
Option 2: 6 and 7
Option 3: 21 and 29
Option 4: 5 and 4
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Correct Answer: 6 and 7
Solution : Given: 5 × 7 – 4 + 21 ÷ 6 = 29
Replace the given numbers in the options with the original numbers in the given equation. First option: 6 and 5 Solving the L.H.S. of the equation – = 6 × 7 – 4 + 21 ÷ 5 = 6 × 7 – 4 + 4.2 = 42 – 4 + 4.2 = 42.2 ≠ 29 Second option: 6 and 7 Solving the L.H.S. of the equation – = 5 × 6 – 4 + 21 ÷ 7 = 5 × 6 – 4 + 3 = 30 – 4 + 3 = 29 = R.H.S. Third option: 21 and 29 5 × 7 – 4 + 29 ÷ 6 = 21 Solving the L.H.S. of the equation – = 5 × 7 – 4 + 29 ÷ 6 = 5 × 7 – 4 + 4.83 = 35 – 4 + 4.83 = 35.83 ≠ 21 L.H.S ≠ R.H.S Fourth option: 5 and 4 Solving the L.H.S. of the equation – = 4 × 7 – 5 + 21 ÷ 6 = 4 × 7 – 5 + 3.5 = 28 – 5 + 3.5 = 26.5 ≠ 29
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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Question : Directions: Which two signs should be interchanged to make the following equation correct? 6 ÷ 24 + 6 × 7 – 5 = 29
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? 5 ÷ 4 × 8 = 7 – 3
Option 1: ÷ and –
Option 2: = and –
Option 3: × and –
Option 4: ÷ and =
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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? 5 × 6 –7 + 24 ÷ 12 = 35
Option 1: + and =
Option 2: + and –
Option 3: = and –
Option 4: × and –
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Option 1: = and +
Option 2: – and =
Option 4: + and –
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