Question : Directions: Which two signs should be interchanged to make the given equation correct?
95 × 5 + 19 ÷ 2 − 21 = 36
Option 1: ÷ and ×
Option 2: + and −
Option 3: ÷ and −
Option 4: + and ×
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Correct Answer: ÷ and ×
Solution :
Given:
95 × 5 + 19 ÷ 2 − 21 = 36
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and ×
⇒ 95 ÷ 5 + 19 × 2 − 21
= 19 + 38 − 21
= 36
Second option:
+ and −
⇒ 95 × 5 − 19 ÷ 2 + 21
= 475 − 9.5 + 21
= 486.5 ≠ 36
Third option:
÷ and −
⇒ 95 × 5 + 19 − 2 ÷ 21
= 475 + 19 − 0.09
= 493.91 ≠ 36
Fourth option:
+ and ×
⇒ 95 + 5 × 19 ÷ 2 − 21
= 95 + 47.5 − 21
= 121.5 ≠ 36
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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