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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Correct Answer: 9 × 4 + 5 – 8 ÷ 2 = 25
Solution : Given: Interchange 5 and 9
Interchanging 5 and 9 in each of the given options. Let's check each option – First option: 9 – 5 × 4 + 6 ÷ 3 = 30 5 – 9 × 4 + 6 ÷ 3 = 5 – 9 × 4 + 2 = 5 – 36 + 2 = 5 – 38 = – 33 ≠ 30 Second option: 9 × 3 + 5 ÷ 1 – 6 = 20 5 × 3 + 9 ÷ 1 – 6 = 5 × 3 + 9 – 6 = 15 + 9 – 6 = 24 – 6 = 18 ≠ 20 Third option: 7 × 9 + 5 – 8 ÷ 4 = 40 7 × 5 + 9 – 8 ÷ 4 = 7 × 5 + 9 – 2 = 35 + 9 – 2 = 44 – 2 = 42 ≠ 40 Fourth option: 9 × 4 + 5 – 8 ÷ 2 = 25 5 × 4 + 9 – 8 ÷ 2 = 5 × 4 + 9 – 4 = 20 + 9 – 4 = 29 – 4 = 25 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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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 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 signs and numbers which of the following equations will be correct? × and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 6 and 4
Option 1: 3 × 9 – 4 ÷ 2 + 6 = 8
Option 2: 8 × 6 + 4 ÷ 2 – 5 = –5
Option 3: 8 – 3 × 6 + 4 ÷ 1 = 18
Option 4: 7 × 6 – 4 + 9 ÷ 3 = –7
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 9 and 6
Option 1: 7 + 6 × 4 ÷ 9 – 8 = 5
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 75
Option 3: 9 × 7 + 4 ÷ 1 – 6 = 38
Option 4: 7 × 6 ÷ 3 + 9 – 8 = 19
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