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NIMCET 2025 Paper

Section: Mathematics

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Question : 5 of 120

Marks: +1, -0

There are

4 0

2 0

male students in a class. If the average heights of female and male students are 5.15 feet and 5.66 feet, respectively, then the average height (in feet) of all the students in the class equals:

5.490
5.175
5.405
5.320

Solution:

Concept:

Use weighted average formula: total height divided by total number of students.

Formula:

\text{Average} = \frac{\sum (\text{count} \times \text{average})}{\text{total count}}

Solution:

Total height of females =

40 \times 5.15 = 206

feet.

Total height of males =

20 \times 5.66 = 113.2

feet.

Total height of all students =

206 + 113.2 = 319.2

feet.

Total number of students =

40 + 20 = 60

.

Average height =

\frac{319.2}{60} = 5.32

feet.

Answer:

Option D. 5.320

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