数学想拿满分？先看看GMAT数学易错考点—余数问题+例题（上）

GMAT数学中因为粗心大意忽视细节，

所导致的扣分屡见不鲜，

许多考生因此错失高分满分懊恼不已。

而余数问题它就是属于那种，

送分题or送命题

就看你能不能好好把握了

余数问题是GMAT数学常见题目

差不多就是余数余数场场见

所以你一定要好好掌握这类问题

今天成都申友GMAT和大家看一下GMAT数学易错考点—余数问题

余数：

1、定义：被除数÷除数=商......余数

被除数=除数×商+余数

2、注:0<余数<除数

例1、When positive interger n is divided by 8 ,the remainder is 5 .What is the remainder when n is divided by 4 ?

A 、1 B、2 C、3 D、4 E、5

例2、Can n be divisible by 6?

(1) When positive interger n is divided by 5,the remainder is 2 .

(2) When positive interger n is divided by 4,the remainder is 3 .

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

例3、What is the remainder when 478 × 296 × 351 is divided by 17？

A、1 B、2 C、7 D、11 E、13

解析：A

478，296，351除以17的余数分别为2，7和11，（2×7×11）÷17=9……1

所求余数是1。

例4、What is the remainder when 25550 is divided by 7?

A、1B、2C、3D、4E、5

解析：A

25550=81850

同余定理：8÷7的余数是1，那么81850÷7的余数是1。

例5、When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x > y, which of the following must be a factor of x - y?

A.12 B.15 C.20 D.28 E.35

解析：E

x÷5=a....3, y÷5=b....3，x-y与3-3关于5同余，余数是0，所以x-y是5的倍数。

x÷7=c....4, y÷7=d....4，x-y与4-4关于7同余，余数是0，所以x-y是7的倍数。

所以x-y的值应该既然是5的倍数，也是7的倍数。

以上就是成都申友GMAT给大家带来的GMAT数学易错考点—余数问题+例题！（上）内容，GMAT数学满分不容易，搞定GMAT数学易错考点，逐个击破Remainder重难考点非常有必要，下次成都申友GMAT再给大家分享GMAT数学易错考点—余数问题+例题！（下）内容。

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