Question

Cosmo arranges 24 nuts in an array such that the sum of the number of rows and the number of columns is 11. Which of the following can be correct for the number of rows and columns?

Answer 1

Let us check each of the options one by one.

• Option A:

Number of rows \(+\) Number of columns \(= 7 + 4 = 11\)
Number of rows \(\times\) Number of columns \(= 7 \times 4 = 28\)
Since Cosmo arranges only \(24\) nuts, this option is not correct.

• Option B:

Number of rows \(+\) Number of columns \(= 6 + 4 = 10\)
Since the sum of the number of rows and number of columns is not 11, this option is not correct.

• Option C:

Number of rows \(+\) Number of columns \(= 3 + 8 = 11\)
Number of rows \(\times\) Number of columns \(= 3 \times 8 = 24\)
Since Cosmo arranges 24 nuts, this option is correct.

• Option D:

Number of rows + Number of columns \(= 12 + 2 = 14\)
Since the sum of the number of rows and the number of columns is not 11, this option is not correct.

• Hence, option C is correct.