Question : Directions: Which of the following interchanges of numbers would make the given equation correct? 7 × 4 ÷ 14 + 12 + 30 = 50
Option 1: 12, 14
Option 2: 7, 14
Option 3: 4, 7
Option 4: 30, 50
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Correct Answer: 7, 14
Solution : Given: 7 × 4 ÷ 14 + 12 + 30 = 50
Let's check the given options – First option: 12, 14 On interchanging the numbers, we get – ⇒ 7 × 4 ÷ 12 + 14 + 30 = 50 Solving the L.H.S. of the equation – = 7 × 0.33 + 14 + 30 = 2.31 + 14 + 30 = 46.31 ≠ 50 Second option: 7, 14 On interchanging the numbers, we get – ⇒ 14 × 4 ÷ 7 + 12 + 30 = 50 Solving the L.H.S. of the equation – = 8 + 12 + 30 = 50 Third option: 4, 7 On interchanging the numbers, we get – ⇒ 4 × 7 ÷ 14 + 12 + 30 = 50 Solving the L.H.S. of the equation – = 4 × 0.5 + 12 + 30 = 2 + 12 + 30 = 44 ≠ 50 Fourth option: 30, 50 On interchanging the numbers, we get – ⇒ 7 × 4 ÷ 14 + 12 + 50 = 30 Solving the L.H.S. of the equation – = 2 + 12 + 50 = 64 ≠ 30
So, only the second option satisfies the given equation. Hence, the second option is correct.
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Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct? 7 × 14 ÷ 6 + 12 + 6 = 30
Option 1: 7 and 6, × and ÷
Option 2: 7 and 14, × and ÷
Option 3: 7 and 6, ÷ and +
Option 4: 6 and 14, × and +
Question : Directions: Which of the following interchanges of signs would make the given equation correct? 1000 – 448 + 14 ÷ 15 × 2 = 998
Option 1: + and ÷
Option 2: × and ÷
Option 3: – and +
Option 4: ÷ and –
Question : Directions: Which of the following interchanges of signs would make the given equation correct? 100 + 100 × 50 – 2 ÷ 3 = 51
Option 2: + and –
Option 3: – and ×
Option 4: ÷ and ×
Question : Directions: Which of the following interchanges of signs and numbers would make the given equation correct? 25 – 10 ÷ 5 + 15 × 30 = 55
Option 1: × and ÷, 30 and 25
Option 2: ÷ and +, 15 and 10
Option 3: × and –, 15 and 10
Option 4: + and –, 5 and 10
Question : Directions: Which of the following interchanges of signs would make the given equation correct? 162 ÷ 3 + 5 × 6 – 2 = 274
Option 1: + and –
Option 2: ÷ and ×
Option 3: – and ÷
Option 4: + and ×
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