Question

Sara draws four triangles with some numbers in the center as well as corners of each triangle. The numbers in the center are related to the numbers in the corner.

Find the missing number in the center of the last triangle.

• A. 120
• B. 32
• C. 17
• D. 110

Answer 1

The correct option is A 120

In the $1^{st}$ triangle from the left, the number in the center is 6, and the numbers at the vertices are 1, 2, and 3.
6 = 1 × 2 × 3

In the $2^{nd}$ triangle from the left, the number in the center is 12, and the numbers at the vertices are 4, 3, and 1.
12 = 4 × 3 × 1

Similarly, in the $3^{rd}$ triangle from the left, the number in the center is 40, and the numbers at the vertices are 5, 4, and 2.
40 = 5 × 4 × 2

• Thus, the numbers in the center are the product of the numbers at the corners in each triangle.

For the $4^{th}$ triangle, the numbers at the vertices are 10, 4, and 3.
Number in center = 10 × 4 × 3 = 120

Thus, the missing number in the center is 120.