Question : Direction: Which of the following interchanges of numbers would make the given equation correct?
8 × 20 ÷ 3 + 9 – 5 = 38
Option 1: 3, 9
Option 2: 3, 8
Option 3: 8, 9
Option 4: 3, 5
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Correct Answer: 3, 5
Solution : Given: 8 × 20 ÷ 3 + 9 – 5 = 38
Let's check the options –
First option: 3, 9 On replacing → 8 × 20 ÷ 9 + 3 – 5 = 38 = 8 × 20 ÷ 9 + 3 – 5 = 8 × 2.22 + 3 – 5 = 17.76 + 3 – 5 = 20.76 – 5 = 15.76 ≠ 38
Second option: 3, 8 On replacing → 3 × 20 ÷ 8 + 9 – 5 = 38 = 3 × 20 ÷ 8 + 9 – 5 = 3 × 2.5 + 9 – 5 = 7.5 + 9 – 5 = 16.5 – 5 = 11.5 ≠ 38
Third option: 8, 9 On replacing → 9 × 20 ÷ 3 + 8 – 5 = 38 = 9 × 20 ÷ 3 + 8 – 5 = 9 × 6.67 + 8 – 5 = 60.03 + 8 – 5 = 68.03 – 5 = 63.03 ≠ 38
Fourth option: 3, 5 On replacing → 8 × 20 ÷ 5 + 9 – 3 = 38 = 8 × 20 ÷ 5 + 9 – 3 = 8 × 4 + 9 – 3 = 32 + 9 – 3 = 41 – 3 = 38
Hence, the fourth option is correct.
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Question : Directions: Which of the following interchanges of numbers would make the given equation correct? 8 × 20 ÷ 3 + 9 – 5 = 38
Option 1: (8, 9)
Option 2: (3, 5)
Option 3: (3, 9)
Option 4: (3, 8)
Question : Directions: Which of the following interchanges of signs would make the given equation correct? 110 ÷ 20 + 5 × 13 – 9 = 153
Option 1: × and +
Option 2: ÷ and +
Option 3: – and ×
Option 4: + and –
Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 5 and 8
Option 1: 5 × 2 – 8 + 9 ÷ 1 = 20
Option 2: 8 + 5 × 4 – 9 ÷ 3 = 30
Option 3: 5 × 7 + 8 – 3 ÷ 1 = 55
Option 4: 8 – 5 × 2 + 6 ÷ 2 = –9
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 ×
Question : Direction: Which of the following interchange of numbers and signs would make the given equation correct? 512 × 64 ÷ 5 + 30 – 50 = 20
Option 1: 50 and 64, + and ×
Option 2: 20 and 30, + and ÷
Option 3: 20 and 50, × and ÷
Option 4: 5 and 20, + and –
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