Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 4 and 6
Option 1: 4 ÷ 2 + 3 – 6 × 5 = –14
Option 2: 9 ÷ 3 + 6 × 5 – 4 = 18
Option 3: 4 × 3 + 6 – 2 ÷ 1 = 21
Option 4: 4 – 6 ÷ 2 + 3 × 5 = 20
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Correct Answer: 4 ÷ 2 + 3 – 6 × 5 = –14
Solution : Given: 4 and 6
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 4 ÷ 2 + 3 – 6 × 5 = –14 ⇒ 6 ÷ 2 + 3 – 4 × 5 = 3 + 3 – 20 = –14 Second option: 9 ÷ 3 + 6 × 5 – 4 = 18 ⇒ 9 ÷ 3 + 4 × 5 – 6 = 3 + 20 – 6 = 17 ≠ 18 Third option: 4 × 3 + 6 – 2 ÷ 1 = 21 ⇒ 6 × 3 + 4 – 2 ÷ 1 = 18 + 4 – 2 = 20 ≠ 21 Fourth option: 4 – 6 ÷ 2 + 3 × 5 = 20 ⇒ 6 – 4 ÷ 2 + 3 × 5 = 6 – 2 + 15 = 19 ≠ 20
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first 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 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
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 signs and numbers which of the following equations will be correct? × and ÷, 7 and 9
Option 1: 9 – 7 × 2 + 6 ÷ 3 = 11
Option 2: 9 + 4 × 3 – 7 ÷ 1 = 40
Option 3: 8 × 3 ÷ 6 + 9 – 7 = 14
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 18
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 6 and 3
Option 1: 8 – 3 × 4 ÷ 6 + 9 = 18
Option 2: 8 + 4 × 6 ÷ 3 – 9 = 15
Option 3: 9 ÷ 3 × 4 – 6 + 7 = 10
Option 4: 6 ÷ 2 × 8 + 3 – 1 = 20
Question : Directions: By interchanging the given two signs and numbers which of the following equations will not be correct? ÷ and ×, 1 and 3
Option 1: 6 ÷ 3 – 1 + 4 × 2 = 5
Option 2: 4 × 3 – 1 + 8 ÷ 2 = 9
Option 3: 5 – 8 × 3 + 9 ÷ 1 = 24
Option 4: 6 + 4 – 9 × 3 ÷ 1 = –17
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