On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus? Choose the correct choice from the following answers.
A) 11 B) 16 C) 29 D) 30 E) 36
Let No. of Children = x   Boys wearing sneakers = x/4   Boys wearing sneakers = x/3   i.e. Total number of children must be divisible by 4 as well as by 3   i.e. Total number of children must be divisible by LCM of 4 &amp; 3 i.e. 12   Only Option 36- 36 satisfies the requirement hence   ANSW36R:36
<result>E</result>
On a certain bus, one-fourth of the children are boys that are wearing sneakers. One-third of the children on the bus are girls that are wearing sneakers, which of the following is a possible number of children on the bus?