Question

Harry has $3$ sisters and $5$ brothers. His sister Harriet has $S$ sisters and $B$ brothers. What is the product of $S$ and $B?$

$8$

$10$

$12$

$15$

$18$

Answer: C

Concepts:basic counting logical deduction

Difficulty rating: 1020

Small Hint:

First count the total boys and girls in the family.

Big Hint:

Harriet is one of Harry’s sisters.

Solution:

Since Harry has $3$ sisters and $5$ brothers, the family has $3$ girls and $6$ boys. Harriet is one of the girls, so she has $2$ sisters and $6$ brothers.

Therefore, $SB=2\cdot 6=12.$

Thus, the correct answer is C .

1998 AMC 8 Problem 11

Answer: C

Difficulty rating: 1020

Small Hint:

Big Hint:

Solution:

Problem 11 in Other Years