数论-OG22-DS：第21-30题 练习册详情

1

Is zp negative?

(1) $${p}{z}^{4}< 0$$

(2) $$p + {z}^{4} = 14$$

• 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.

158人做过此题 平均耗时为1min42s 平均正确率为 53%

展开题目内容

2

If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) > 2(3.00Y) ?

1.3X < 2Y

2.X < Y – 3

• 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.

0人做过此题 平均耗时为0 平均正确率为 0%

展开题目内容

3

What is the sum of a certain pair of consecutive odd integers?

(1)At least one of the integers is negative.

(2)At least one of the integers is positive.

• 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.

9994人做过此题 平均耗时为8min53s 平均正确率为 69%

展开题目内容

4

The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?

(1) The integers are consecutive odd numbers.

(2) Of these integers, the greatest is 6 more than the least.

• 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.

425人做过此题 平均耗时为4min16s 平均正确率为 53%

展开题目内容

5

Three dice, each of which has its 6 sides numbered 1 though 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?

(1) None of the 3 numbers that are facing up is divisible by 3.
(2) Of the numbers that are facing up, 2, but not all 3. are equal.

• 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.

227人做过此题 平均耗时为4min32s 平均正确率为 44%

展开题目内容

6

On the number line, point R has coordinate r and point T has coordinate t. Is $$t<0$$?

(1) $$-1<{r}<0$$

(2) The distance between R and T is equal to $${r}^{2}$$.

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

0人做过此题 平均耗时为0 平均正确率为 0%

展开题目内容

7

If d denotes a decimal, is $$d \ge 0.5$$?

(1)When d is rounded to the nearest tenth, the result is 0.5.

(2)When d is rounded to the nearest integer, the result 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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

9993人做过此题 平均耗时为8min12s 平均正确率为 58%

展开题目内容

8

In the two-digit integers $$3■$$ and $$ 2▲$$, the symbols $$■$$ and $$▲$$ represent different digits, and the product ( $$3■$$) ($$2▲$$) is equal to 864. What digit does $$■$$ represent?

(1) The sum of $$■$$ and $$▲$$ is 10.

(2) The product of $$■$$ of $$▲$$ is 24.

• 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.

820人做过此题 平均耗时为7min35s 平均正确率为 48%

展开题目内容

9

If x is a positive integer, what is the value of $$\sqrt{x+24}$$ - $$\sqrt{x}$$ ?

(1) $$\sqrt{x}$$ is an integer.

(2) $$\sqrt{x+24}$$ is an integer.

• 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.

144人做过此题 平均耗时为2min21s 平均正确率为 98%

展开题目内容

10

Is the positive two-digit integer N less than 40 ?

(1) The units digit of N is 6 more than the tens digit

(2) N is 4 less than 4 times the units digit.

• 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.

9984人做过此题 平均耗时为17min45s 平均正确率为 65%

展开题目内容