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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


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

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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