Question

Which statement must be true?

A) Out of the 352 eleventh graders at the school, 173 of them are girls.

B) Out of the 511 boys at the school, 150 of them are tenth graders.

C) Out of the 523 tenth graders at the school, 173 of them are boys.

D) Out of the 376 girls at the school, 182 of them are eleventh graders.

Answer 1

The correct answer is A!

Answer 2

Answer with explanation:

Option A: In any Class, the ratio of boys to girls should be 50:50.

⇒Fraction of girls out of 352 eleventh graders, of whom 173 are girls

`=(173)/(352)\\\\=0.4914`

= 49.14 %

Number of Boys = 352 - 173

= 179

⇒Fraction of Boys out of 352 eleventh graders, of whom 179 are Boys

`=(179)/(352)\\\\=0.5085`

= 50.85 %

% of number of Boys to Percent of girls are approximately same.

Correct Option

Option B

`=(150)/(511)* 100\\\\=29.35`

In a school 29.35% of students can't be boys only.Also, this question is unclear in the sense that, number of sections of students is not given.

Incorrect Option

Option C

In any Class, the ratio of boys to girls should be 50:50.

⇒Fraction of boys out of 523 eleventh graders, of whom 173 are boys

`=(173)/(523)\\\\=0.3307`

= 33.07%≠50%

Incorrect Option

Option D

`=(182)/(376)\\\\=0.4840`

=48.40%

Number of section of girls is not given.And in any school , out of 376 girls, 48.40% girls can't be eleventh graders only.

Incorrect Option

Option A: Out of the 352 eleventh graders at the school, 173 of them are girls.