Minh enters the numbers 11 through 8181 into the cells of a 9×99 \times 9 grid in some order. She calculates the product of the numbers in each row and column. What is the least number of rows and columns that could have a product divisible by 33?
A. 8
B. 9
C. 10
D. 11
E. 12

Maximum and minimum problems中文
Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

Answer

D. 11

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1Ricardo has 20202020 coins, some of which are pennies (11-cent coins) and the rest of which are nickels (55-cent coins).…
  2. 2已知首项为11的数列{an}\{a_{n}\}的前nn项和为SnS_{n}，且an+1=13Sna_{n\text{+}1}\text{=}\dfrac{1}{3}S_{n}，数列{bn}\{b_{n}\}满足bn=log⁡3anb_{n}\text{=}\log_{3}a_{n}…
  3. 3In a tournament there are six teams that play each other twice. A team earns 33 points for a win, 11 point for a draw,…
  4. 4已知nn行nn列(n⩾2)\left(n\geqslant 2\right)的数表A=(a11a12⋅⋅⋅a1na21a22⋅⋅⋅a2n⋮⋮⋱⋮an1an2⋅⋅⋅ann)A=\left(\begin{matrix}{{a}_{11}}&{{a}_{12}}&\cdot\cdot\cdot&{{a}_{1n}}\\ {{a}_{21}}&{{a}_{22}}&\cdot\cdot\cdot&{{a}_{2n}}\\ \vdots &\vdots&\ddots&\vdots\\ {{a}_{n1}}&{{a}_{n2}}&\cdot\cdot\cdot&{{a}_{nn}}\\\end{matrix}\right)…
  5. 5The integers from 1 through 25 are arbitrarily separated into five groups of 5 numbers each. The median of each group is…