Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct?
(35 ÷ 7 × 50) ÷ 11 × 1 + 3 = 8
Option 1: + and –
Option 2: ÷ and +
Option 3: × and ÷
Option 4: + and ×
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Correct Answer: + and ×
Solution :
Given:
(35 ÷ 7 × 50) ÷ 11 × 1 + 3 = 8
Let's check the given options –
First option:
+ and –
= (35 ÷ 7 × 50) ÷ 11 × 1 – 3
= (5 × 50) ÷ 11 × 1 – 3
= 250 ÷ 11 × 1 – 3
= 22.72 – 3
= 19.72 ≠ 8
Second option:
÷ and +
= (35 + 7 × 50) + 11 × 1 ÷ 3
= (35 + 350) + 11 × 1 ÷ 3
= 385 + 11 × 1 ÷ 3
= 385 + 11 × 0.33
= 385 + 3.63
= 388.63 ≠ 8
Third option:
× and ÷
= (35 × 7 ÷ 50) × 11 ÷ 1 + 3
= (35 × 0.14) × 11 ÷ 1 + 3
= 4.9 × 11 ÷ 1 + 3
= 4.9 × 11 + 3
= 53.9 + 3
= 56.9 ≠ 8
Fourth option:
+ and ×
= (35 ÷ 7 + 50) ÷ 11 + 1 × 3
= 55 ÷ 11 + 1 × 3
= 5 + 3
= 8
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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