Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct: 24 ÷ 12 × 21 – 273 + 14 = 179
Option 1: 14 and 21, × and +
Option 2: 14 and 21, + and ÷
Option 3: 21 and 12, + and ÷
Option 4: 14 and 24, × and +
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Correct Answer: 14 and 21, + and ÷
Solution : Given: 24 ÷ 12 × 21 – 273 + 14 = 179
Replace the signs and numbers according to the given options, to balance the equation. Let's check the options – First option: 14 and 21, × and + ⇒24 ÷ 12 + 14 – 273 × 21 = 179 2 + 14 – 273 × 21 = 179 2 + 14 – 5733 = 179 – 5717 ≠ 179 Second option: 14 and 21,+ and ÷ ⇒24 + 12 × 14 – 273 ÷ 21 = 179 24 + 12 × 14 – 13 = 179 24 + 168 – 13 = 179 179 = 179 Third option: 21 and 12,+ and ÷ ⇒24 + 21 × 12 – 273 ÷ 14 = 179 24 + 21 × 12 – 19.5 = 179 24 + 252 – 19.5 = 179 256.5 ≠ 179 Fourth option: 14 and 24,× and + ⇒14 ÷ 12 + 21 – 273 × 24 = 179 1.16 + 21 – 273 × 24 = 179 1.16 + 21 – 6552 = 179 – 6529.84 ≠ 179
So, the second option satisfies the given equation. Hence, the second option is correct.
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Question : Directions: Which two signs should be interchanged to make the following equation correct? 22 – 16 ÷ (3 × 4) + 6 = 8
Option 1: ÷ and +
Option 2: – and ×
Option 3: – and +
Option 4: ÷ and ×
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 14 × 8 + 64 ÷ 32 – 2 = 88
Option 1: 8 and 32; × and +
Option 2: 14 and 2; × and +
Option 3: 8 and 2; – and ÷
Option 4: 32 and 64; + and ÷
Question : Directions: Which two signs should be interchanged in the following equation to make it correct? 38 ÷ 19 × 11 – 357 + 17 = 226
Option 1: – and ÷
Option 2: + and ÷
Option 3: × and +
Option 4: × and –
Question : Directions: Which of the following equations will be correct when the signs × and ÷ and the numbers 12 and 9 are interchanged?
Option 1: 12 + 8 × 9 + (24 ÷ 5 + 8) – 7 = 35
Option 2: 9 × 17 + 5 (24 ÷ 9) – 12 = 46
Option 3: 14 ÷ 2 + 10 (12 – 6) × 9 = 37
Option 4: 10 + 2 ÷ 3 + (24 × 9 + 8) – 12 = 17
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 35 + 15 – 4 × 45 ÷ 5 = 98
Option 1: 35 and 45; + and –
Option 2: 15 and 5; × and +
Option 3: 35 and 45; × and –
Option 4: 15 and 35; × and ÷
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