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 ÷
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Correct Answer: 8 and 2; – and ÷
Solution : Given: 14 × 8 + 64 ÷ 32 – 2 = 88
Let's check each option – First Option: 8 and 32; × and + On interchanging the mathematical signs and numbers, we get – 14 + 32 × 64 ÷ 8 – 2 = 88 On solving the L.H.S. of the equation – = 14 + 32 × 64 ÷ 8 – 2 = 14 + 32 × 8 – 2 = 14 + 256 – 2 = 268 ≠ 88 Second Option: 14 and 2; × and + On interchanging the mathematical signs and numbers, we get – 2 + 8 × 64 ÷ 32 – 14 = 88 On solving the L.H.S. of the equation – = 2 + 8 × 64 ÷ 32 – 14 = 2 + 8 × 2 – 14 = 2 + 16 – 14 = 4 ≠ 88 Third Option: 8 and 2; – and ÷ On interchanging the mathematical signs and numbers, we get – 14 × 2 + 64 – 32 ÷ 8 = 88 On solving the L.H.S. of the equation – = 14 × 2 + 64 – 32 ÷ 8 = 14 × 2 + 64 – 4 = 28 + 64 – 4 = 88 Fourth Option: 32 and 64; + and ÷ On interchanging the mathematical signs and numbers, we get – 14 × 8 ÷ 32 + 64 – 2 = 88 On solving the L.H.S. of the equation – = 14 × 8 ÷ 32 + 64 – 2 = 14 × 0.25 + 64 – 2 = 3.5 + 64 – 2 = 65.5 ≠ 88
So, only the third option satisfies the equation. Hence, the third 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: 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 +
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 two signs and two numbers should be interchanged in the following equation to make it correct? 19 + 27 – 4 ÷ 2 × 3 = 20
Option 1: – and ÷; 4 and 3
Option 2: ÷ and ×; 19 and 27
Option 3: – and +; 27 and 2
Option 4: + and ×; 3 and 2
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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