Question : Direction: Which of the following interchanges of numbers would make the given equation correct?
8 × 20 ÷ 3 + 9 – 5 = 38
Option 1: 3, 9
Option 2: 3, 8
Option 3: 8, 9
Option 4: 3, 5
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Correct Answer: 3, 5
Solution :
Given:
8 × 20 ÷ 3 + 9 – 5 = 38
Let's check the options –
First option:
3, 9
On replacing → 8 × 20 ÷ 9 + 3 – 5 = 38
= 8 × 20 ÷ 9 + 3 – 5
= 8 × 2.22 + 3 – 5
= 17.76 + 3 – 5
= 20.76 – 5
= 15.76 ≠ 38
Second option:
3, 8
On replacing → 3 × 20 ÷ 8 + 9 – 5 = 38
= 3 × 20 ÷ 8 + 9 – 5
= 3 × 2.5 + 9 – 5
= 7.5 + 9 – 5
= 16.5 – 5
= 11.5 ≠ 38
Third option:
8, 9
On replacing → 9 × 20 ÷ 3 + 8 – 5 = 38
= 9 × 20 ÷ 3 + 8 – 5
= 9 × 6.67 + 8 – 5
= 60.03 + 8 – 5
= 68.03 – 5
= 63.03 ≠ 38
Fourth option:
3, 5
On replacing → 8 × 20 ÷ 5 + 9 – 3 = 38
= 8 × 20 ÷ 5 + 9 – 3
= 8 × 4 + 9 – 3
= 32 + 9 – 3
= 41 – 3
= 38
Hence, the fourth option is correct.
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