Question

A class has twice as many boys as girls. The students in the class stand in one line, with a girl at the front of the line. Which of the following must be true?
A. The last person in the line is a girl.
B. The last person in the line is a boy.
C. There are more girls than boys in the class.
D. There are at least two girls standing next to each other.
E. There are at least two boys standing next to each other.

Answer 1

Hint: This problem is statement based and in order to solve this problem we have to gather the information from the question such as boys are double than the girls.

Complete step-by-step answer:
Let the number of girls be a.
Then the number of boys will be 2a.
Given that one girl is standing in the front line and remaining (a- 1) girls and 2a boys are standing in the second line.
So, there should be at least two boys standing next to each other because the number of boys divided by 2 is greater than the number of girls.
Therefore, the correct option is “E”.

Note: In order to solve such questions related to a given number of persons and their arrangement, the problem statements can sometimes be confusing so give extra focus on the same. These questions can sometimes seem to be solved by just reading. But always try to infer some mathematical equations from the problem statement.