数论-OG22-DS：第11-20题 练习册详情

1

The 9 squares above are to be filled with x 's and o 's, with only one symbol in each square. How many of the squares will contain an x ?
1.More than $$\frac{1}{2}$$ of the number of squares will contain an o.

2.Each of the 4 corner squares will contain an x.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

252人做过此题 平均耗时为2min5s 平均正确率为 66%

展开题目内容

2

Is the sum of two integers divisible by 10 ?

1.One of the integers is even.

2.One of the integers is a multiple of 5.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

251人做过此题 平均耗时为1min32s 平均正确率为 56%

展开题目内容

3

Is n equal to zero?

1.The product of n and some nonzero number is 0.

2.The sum of n and 0 is 0.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

170人做过此题 平均耗时为40s 平均正确率为 68%

展开题目内容

4

What is the remainder when the positive integer n is divided by 5 ?

1.When n is divided by 3, the quotient is 4 and the remainder is 1.

2.When n is divided by 4, the remainder is 1.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

173人做过此题 平均耗时为1min35s 平均正确率为 56%

展开题目内容

5

If x is an integer greater than 0, what is the remainder when x is divided by 4 ?

1.The remainder is 3 when x + 1 is divided by 4.

2.The remainder is 0 when 2x is divided by 4.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

266人做过此题 平均耗时为3min8s 平均正确率为 53%

展开题目内容

6

If n is an integer, what is the greatest common divisor of 12 and n？

(1)The product of 12 and n is 432

(2)The greatest common divisor of 24 and n is 12

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

378人做过此题 平均耗时为3min56s 平均正确率为 53%

展开题目内容

7

If x is a positive integer greater than 1, what is the value of x ?

(1) 2x is a common factor of 18 and 24.

(2) x is a factor of 6.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

292人做过此题 平均耗时为3min28s 平均正确率为 70%

展开题目内容

8

In the multiplication table above, each letter represents an integer. What is the value of c?

(1) c=f

(2) $$h\neq0$$

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

281人做过此题 平均耗时为4min57s 平均正确率为 63%

展开题目内容

9

If r and t are three-digit positive integers, is r greater than t?

(1) The tens digit of r is greater than each of the three digits of t.

(2) The tens digit of r is less than either of the other two digits of r.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

284人做过此题 平均耗时为2min26s 平均正确率为 69%

展开题目内容

10

Is the product of two positive integers x and y divisible by the sum of x and y?

(1) x=y

(2) x=2

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

372人做过此题 平均耗时为2min13s 平均正确率为 66%

展开题目内容