Question : Directions: Which two signs should be interchanged to make the given equation correct?
192 × 16 + 9 – 8 ÷ 2 = 5
Option 1: × and ÷
Option 2: + and –
Option 3: × and –
Option 4: + and ÷
Correct Answer: × and ÷
Solution :
Given:
192 × 16 + 9 – 8 ÷ 2 = 5
Let's check the given options –
First Option:
× and ÷
⇒ 192 ÷ 16 + 9 – 8 × 2 = 5
Solving the L.H.S. of the equation –
= 12 + 9 – 8 × 2
= 12 + 9 – 16
= 5
Second option:
+ and –
⇒ 192 × 16 – 9 + 8 ÷ 2 = 5
Solving the L.H.S. of the equation –
= 192 × 16 – 9 + 4
= 3072 – 9 + 4
= 3067 ≠ 5
Third option:
× and –
⇒ 192 – 16 + 9 × 8 ÷ 2 = 5
Solving the L.H.S. of the equation –
= 192 – 16 + 9 × 4
= 192 – 16 + 36
= 212 ≠ 5
Fourth option:
+ and ÷
⇒ 192 × 16 ÷ 9 – 8 + 2 = 5
Solving the L.H.S. of the equation –
= 192 × 1.78 – 8 + 2
= 341.76 – 8 + 2
= 335.76 ≠ 5
So, only the first option satisfies the given equation. Hence, the first option is correct.
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