Question : Directions: By interchanging which two signs will the equation be correct?
19 + 36 × 12 ÷ 4 – 26 = 5
Option 1: + and –
Option 2: ÷ and –
Option 3: × and ÷
Option 4: + and ×
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Correct Answer: × and ÷
Solution :
Given:
19 + 36 × 12 ÷ 4 – 26 = 5
Interchange the signs in the given options.
Let's check the options –
First option:
+ and –
= 19 – 36 × 12 ÷ 4 + 26
= 19 – 36 × 3 + 26
= 19 – 108 + 26
= 45 – 108
= –63
≠ 5
Second option:
÷ and –
= 19 + 36 × 12 – 4 ÷ 26
= 19 + 36 × 12 – 0.15
= 19 + 432 – 0.15
= 451 – 0.15
= 450.85
≠ 5
Third option:
× and ÷
= 19 + 36 ÷ 12 × 4 – 26
= 19 + 3 × 4 – 26
= 19 + 12 – 26
= 31 – 26
= 5
Fourth option:
+ and ×
= 19 × 36 + 12 ÷ 4 – 26
= 19 × 36 + 3 – 26
= 684 + 3 – 26
= 687 – 26
= 661
≠ 5
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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