In a classroom, the number of boys is three times the number of girls. Which of the following totals cannot represent the number of children in the class?

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  1. 24
  2. 40
  3. 20
  4. 22

Answer (Detailed Solution Below)

Option 4 : 22
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Detailed Solution

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Given:

Number of boys = 3 × Number of girls

Formula used:

Total children = Number of boys + Number of girls

Calculation:

Let Number of girls = g

Then, Number of boys = 3g

Total children = g + 3g = 4g

We need to check which of the given options is not divisible by 4.

Option 1: 24

⇒ 24 ÷ 4 = 6 (Divisible by 4)

Option 2: 40

⇒ 40 ÷ 4 = 10 (Divisible by 4)

Option 3: 20

⇒ 20 ÷ 4 = 5 (Divisible by 4)

Option 4: 22

⇒ 22 ÷ 4 = 5.5 (Not divisible by 4)

∴ The correct answer is option 4.

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