IPMAT Indore 2024 - QA (MCQ) Q40 Explanation

Explanation:

(c) Let the number of girls be G and total number of students be N.

Given that, 40% N < G < 50%

⇒ 12/25 N < G < 1/2 N

Multiplying throughout by 50, we get

24N < 50G < 25N

Here 50G is a number which is multiple of 50.

Now checking with the options:

Option (a), 25 (starting with the smallest of all the given options)

24 × N = 24 × 25 = 600

And, 25 × N = 25 × 25 = 625

So, there is no multiple of 50 in this range.

Option (c), 27 (the second smallest value in the given options)

24 × N = 24 × 27 = 648

And, 25 × N = 25 × 25 = 675

So, there lies a multiple of 50 in this range i.e. 650.

So, option (c) satisfies. Ans.

Verification: 50G = 650

G = 13      N = 27

13/27 × 100 = 48.14% which lies between 48% and 50%.