AMC10 2008 B

AMC10 2008 B · Q2

AMC10 2008 B · Q2. It mainly tests Arithmetic misc.

A $4 \times 4$ block of calendar dates is shown. The order of the numbers in the second row is to be reversed. Then the order of the numbers in the fourth row is to be reversed. Finally, the numbers on each diagonal are to be added. What will be the positive difference between the two diagonal sums?

展示了一个 $4 \times 4$ 的日历日期块。第二行的数字顺序将被反转。然后第四行的数字顺序将被反转。最后，将每个对角线的数字相加。两个对角线和的正差是多少？

(A) 2 2

(B) 4 4

(D) 8 8

(E) 10 10

Answer

Correct choice: (B)

正确答案：（B）

Solution

The two sums are $1 + 10 + 17 + 22 = 50$ and $4 + 9 + 16 + 25 = 54$, so the positive difference between the sums is $54 - 50 = 4$.

两个和分别是 $1 + 10 + 17 + 22 = 50$ 和 $4 + 9 + 16 + 25 = 54$，因此两个和的正差是 $54 - 50 = 4$。

Topics

AR.015 Arithmetic misc