Question : Directions: Which two signs should be interchanged, to make the given equation correct?
11 – 2 × 16 + 19 = 25
Option 1: – and +
Option 2: = and +
Option 3: – and ×
Option 4: × and +
Correct Answer: – and ×
Solution :
Given:
11 – 2 × 16 + 19 = 25
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
– and +
11 – 2 × 16 + 19 = 25
⇒ 11 + 2 × 16 – 19
⇒ 11 + 32 – 19 = 24
⇒ 24
≠ 25
Second option:
= and +
11 – 2 × 16 + 19 = 25
⇒ 11 – 2 × 16 = 19 + 25
⇒ 11 – 32 = 44
⇒ –21
≠ 44
Third option:
– and ×
11 – 2 × 16 + 19 = 25
⇒ 11 × 2 – 16 + 19 = 25
⇒ 22 – 16 + 19 = 25
⇒ 25 = 25
Fourth option:
× and +
11 – 2 × 16 + 19 = 25
⇒ 11 – 2 + 16 × 19 = 25
⇒ 11 – 2 + 304 = 25
⇒ 313
≠ 25
So, only the third option satisfies the equation. Hence, the third option is correct.
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