CAT, TANCET, XAT Math sample practice questions, answers. Ratio Problem : TANCET Correspondence Course

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You are here: Home  »  CAT, XAT, TANCET Prep Questions »  Ratio & Proportion »   Question 16

TANCET - XAT Math Problem : Ratio Proportion

Question

The ratio of boys to girls in a class is 5 : 3. The class has 16 more boys than girls. How many girls are there in the class?
  1. 16
  2. 6
  3. 24
  4. 64
  5. 32
Choice (3). Correct Answer - 24.

Explanatory Answer

Let the number of boys in the class be 5k.

And the number of girls in the class be 3k.

The class has 16 more boys. i.e., the difference between the number of boys and girls is 16

i.e., 5k - 3k = 2k = 16

So, k = 8.

Number of girls = 3k = 2 * 8 = 24.

The correct choice is (3).


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