Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 20 – 10 × 342 ÷ 19 + 51 = 211
Option 1: 51 and 20, – and +
Option 2: 20 and 342, – and ÷
Option 3: 10 and 20, – and ×
Option 4: 19 and 342, × and ÷
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Correct Answer: 51 and 20, – and +
Solution : Given: 20 – 10 × 342 ÷ 19 + 51 = 211
Interchange the numbers and signs in the options one by one in the given equation. First option: 51 and 20, – and + 20 – 10 × 342 ÷ 19 + 51 = 211 ⇒ 51 + 10 × 342 ÷ 19 – 20 = 211 = 51 + 10 × 18 – 20 = 51 + 180 – 20 = 211 = R.H.S. Second option: 20 and 342, – and ÷ 20 – 10 × 342 ÷ 19 + 51 = 211 ⇒ 342 ÷ 10 × 20 – 19 + 51 = 211 = 34.2 × 20 –19 + 51 = 684 – 19 + 51 = 716 ≠ 211 Third option: 10 and 20, – and × 20 – 10 × 342 ÷ 19 + 51 = 211 ⇒10 × 20 – 342 ÷ 19 + 51 = 211 = 10 × 20 – 18 + 51 = 200 – 18 + 51 = 233 ≠ 211 Fourth option: 19 and 342, × and ÷ 20 – 10 × 342 ÷ 19 + 51 = 211 ⇒ 20 – 10 ÷ 19 × 342 + 51 = 211 = 20 – 0.53 × 342 + 51 = 20 – 181.26 + 51 = –110.26 ≠ 211
So, only the first option satisfies the R.H.S. of the given equation, when the numbers are changed. Hence, the first option is correct.
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Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 10 × 11 + 19 – 323 ÷ 3 = 50
Option 1: 10 and 19, – and +
Option 2: 3 and 19, – and x
Option 3: 10 and 11, – and ÷
Option 4: 10 and 323, + and ÷
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 15 ÷ 80 – 34 + 10 × 8 = 102
Option 1: 10, 80, ÷, –
Option 2: 15, 34, –, ×
Option 3: 34, 15, +, ÷
Option 4: 10, 34, ÷, ×
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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? 40 – 220 ÷ 2 × 2 + 20 = 200
Option 1: 20 and 40; + and –
Option 2: 2 and 20; ÷ and +
Option 3: 220 and 40; + and ×
Option 4: 220 and 20; ÷ and ×
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 60 × 3 + 660 ÷ 6 – 20 = 290
Option 1: 6 and 660; × and ÷
Option 2: 20 and 6; + and –
Option 3: 20 and 60; + and ×
Option 4: 20 and 660; + and ÷
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