DS-OG20：第221-230题 练习册详情

1

Are all of the numbers in a certain list of 15 numbers equal?

(1)The sum of all the numbers in the list is 60.

(2)The sum of any 3 numbers in the list 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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

10000人做过此题 平均耗时为1min46s 平均正确率为 80%

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2

If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?

(1)None of the six numbers is less than 75.

(2)None of the six numbers is greater than 75.

• 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.

1612人做过此题 平均耗时为4min52s 平均正确率为 70%

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3

What amount did Jean earn from the commission on her sales in the first half of 1988 ?

(1)In 1988 Jean's commission was 5 percent of the total amount of her sales.

(2)The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.

• 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.

1811人做过此题 平均耗时为8min8s 平均正确率为 42%

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4

In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?

(1)The area of square region B is 9.

(2)The area of square region C is $$\frac{64}{9}$$

• 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.

2723人做过此题 平均耗时为8min58s 平均正确率为 59%

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5

If n is a positive integer and $$k = {5.1}*{10}^{n}$$, what is the value of k ?

(1)$$6,000 < k < 500,000$$

(2)$${k}^{2}={2.601}*{10}^{9}$$

• 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.

9998人做过此题 平均耗时为12min16s 平均正确率为 46%

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6

What is the value of x + y in the figure above?

(1)W=95

(2)Z=125

• 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.

9991人做过此题 平均耗时为8min21s 平均正确率为 49%

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7

If n and k are positive integers, is $$\sqrt{n+k} >2\sqrt{n}$$?

(1)$$k > 3n$$

(2)$$n + k > 3n$$

• 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.

9957人做过此题 平均耗时为12min6s 平均正确率为 44%

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8

In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment index i. What is p if i = 70 ?

(1)e = 0.5 whenever i = 60.

(2)p = 2.0 whenever i = 50.

• 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.

9998人做过此题 平均耗时为12min15s 平均正确率为 68%

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9

If n is a positive integer, what is the tens digit of n ?

(1)The hundreds digit of 10n is 6.

(2)The tens digit of n + 1 is 7.

• 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.

9432人做过此题 平均耗时为24min56s 平均正确率为 63%

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10

What is the value of $$\frac{(2t+t-x)}{(t-x)}$$

(1)$$\frac{2t}{t-x}=3$$

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

10000人做过此题 平均耗时为1min7s 平均正确率为 86%

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