Question : Directions: By interchanging which two signs will the equation be correct?
16 + 31 – 3 × 93 ÷ 11 = 966
Option 1: + and –
Option 2: – and ÷
Option 3: ÷ and ×
Option 4: × and +
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Correct Answer: – and ÷
Solution :
Given:
16 + 31 – 3 × 93 ÷ 11 = 966
Let's check the options
–
First option:
+ and –
= 16 – 31 + 3 × 93 ÷ 11
= 16 – 31 + 3 × 8.45
= 16 – 31 + 25.35
= 41.35 – 31
= 10.35
≠ 966
Second option:
– and ÷
= 16 + 31 ÷ 3 × 93 – 11
= 16 + 961 – 11
= 977 – 11
= 966
Third option:
÷ and ×
= 16 + 31 – 3 ÷ 93 × 11
= 16 + 31 – 0.03 × 11
= 16 + 31 – 0.33
= 47 – 0.33
= 46.67
≠ 966
Fourth option:
× and +
= 16 × 31 – 3 + 93 ÷ 11
= 16 × 31 – 3 + 8.45
= 496 – 3 + 8.45
= 504.45 – 3
= 501.45
≠ 966
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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