The Middle Child

Logic Level 1

Mr. and Mrs. Tan have five children--four boys and a girl. Both statements below are true:

  • Alfred is younger than Brenda but older than Eric.
  • Darius is younger than Charles but older than Brenda.

Who is the middle child?

Alfred Brenda Charles Darius Eric

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Noel Lo
Jun 26, 2016

Relevant wiki: Order Theory

From the first statement, Alfred is younger than Brenda but older than Eric so Brenda is the oldest of the three. In other words we have Brenda, Alfred, Eric (in order of birth). From the second statement, Darius is younger than Charles but older than Brenda so Brenda is the youngest among this group of three. Here we have Charles, Darius, Brenda (in order of birth). Combining the two, we have Charles (oldest), Darius, Brenda, Alfred, Eric (youngest).

Therefore, B r e n d a \boxed{Brenda} .

Mariana C
Jul 6, 2016
  • First statement: Brenda > Alfred > Eric.
  • Second statement: Charles > Darius > Brenda.

Charles > Darius > Brenda > Alfred > Eric

So, Brenda is the middle child.

Lance Fernando
Aug 29, 2016

Charles > Darius > Brenda > Alfred > Eric

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...