Question : Directions: Which two signs should be interchanged to make the given equation correct?
42 ÷ 7 + 11 × 87 – 12 = 141
Option 1: ÷ and –
Option 2: ÷ and +
Option 3: x and +
Option 4: – and ×
Correct Answer: x and +
Solution :
Given:
42 ÷ 7 + 11 × 87 – 12 = 141
Let's check the options –
First option:
÷ and –
42 – 7 + 11 × 87 ÷ 12 = 141
42 – 7 + 11 × 7.25 = 141
42 – 7 + 79.75 = 141
35 + 79.75 = 141
114.75 ≠ 141
Second option:
÷ and +
42 + 7 ÷ 11 × 87 – 12 = 141
42 + .6 × 87 – 12 = 141
42 + 52.2 – 12 = 141
30 + 52.2 = 141
82.2 ≠ 141
Third option:
x and +
42 ÷ 7 × 11 + 87 – 12 = 141
6 × 11 + 87 – 12 = 141
66 + 87 – 12 = 141
141 = 141
Fourth option:
– and ×
42 ÷ 7 + 11 – 87 × 12 = 141
6 + 11 – 1044 = 141
–1027 ≠ 141
So, only the third option satisfies the given equation. Hence, the third option is correct.
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