Question : Directions: In the following question, correct the given equation by interchanging two numbers. 8 × 3 ÷ 4 + 9 – 5 = 16
Option 1: 3 and 4
Option 2: 4 and 8
Option 3: 5 and 3
Option 4: 5 and 9
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Correct Answer: 5 and 3
Solution : Given: 8 × 3 ÷ 4 + 9 – 5 = 16
Let's check the options – First option: 3 and 4 ⇒ 8 × 4 ÷ 3 + 9 – 5 = 16 Solving the L.H.S. of the equation – = 8 × 4 ÷ 3 + 9 – 5 = 8 × 1.33 + 9 – 5 = 10.64 + 9 – 5 = 14.64 ≠ 16 Second option: 4 and 8 ⇒ 4 × 3 ÷ 8 + 9 – 5 = 16 Solving the L.H.S. of the equation – = 4 × 3 ÷ 8 + 9 – 5 = 4 × 0.375 + 9 – 5 = 1.5 + 9 – 5 = 10.5 – 5 = 5.5 ≠ 16 Third option: 5 and 3 ⇒ 8 × 5 ÷ 4 + 9 – 3 = 16 Solving the L.H.S. of the equation – = 8 × 5 ÷ 4 + 9 – 3 = 8 × 1.25 + 9 – 3 = 10 + 9 – 3 = 19 – 3 = 16 Fourth option: 5 and 9 ⇒ 8 × 3 ÷ 4 + 5 – 9 = 16 Solving the L.H.S. of the equation – = 8 × 3 ÷ 4 + 5 – 9 = 8 × 0.75 + 5 – 9 = 6 + 5 – 9 = 11 – 9 = 2 ≠ 16
Only the third option satisfies the given equation. Hence, the third option is correct.
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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: By Interchanging the given two numbers which of the following equations will be not correct? 5 and 9
Option 1: 9 × 4 + 5 – 8 ÷ 2 = 25
Option 2: 9 – 5 × 4 + 6 ÷ 3 = –30
Option 3: 9 + 7 × 8 ÷ 4 – 5 = 10
Option 4: 9 – 4 × 5 + 6 ÷ 2 = –28
Question : Directions: By interchanging the given two signs which of the following equations will be correct? × and –
Option 1: 7 × 9 – 8 ÷ 2 + 6 = 25
Option 2: 8 × 6 – 9 ÷ 3 + 10 = 0
Option 3: 16 – 4 ÷ 2 + 8 × 1 = 36
Option 4: 5 + 7 × 3 – 4 ÷ 2 = 8
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 2 and 4
Option 1: 9 – 5 ÷ 4 × 2 + 8 = 80
Option 2: 7 × 4 – 2 ÷ 1 + 5 = 13
Option 3: 7 – 8 ÷ 2 + 16 × 4 = 18
Option 4: 5 + 7 × 4 – 8 ÷ 2 = 5
Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 5 and 9
Option 1: 9 – 5 × 4 + 6 ÷ 3 = 30
Option 2: 9 × 3 + 5 ÷ 1 – 6 = 20
Option 3: 7 × 9 + 5 – 8 ÷ 4 = 40
Option 4: 9 × 4 + 5 – 8 ÷ 2 = 25
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