DS-Manhattan：第81-90题 练习册详情

1

Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?

(1) Jim has $$\frac{1}{5}$$ of the number of golf balls that Wendy and Pedro have combined.

(2) Pedro and Wendy collectively have $$\frac{5}{6}$$ of the golf balls.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

141人做过此题 平均耗时为1min10s 平均正确率为 47%

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2

If $$abcd \neq 0$$, is $$ab^2c^3d^4 < 0$$?

(1) $$ab^2c^3 < 0$$

(2) $$b^2c^3d^4 < 0$$

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

141人做过此题 平均耗时为1min0s 平均正确率为 49%

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3

If x is an integer, is $$x^{3}$$ even?

(1) $$2x + 2$$ is even.

(2) $$3x + 1$$ is even.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

141人做过此题 平均耗时为1min9s 平均正确率为 51%

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4

If $$a^2$$ is not equal to $$b^2$$, what is the value of $$\frac{a-b}{a^2-b^2}$$?

(1) a + b = 8

(2) a – b = 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 statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

136人做过此题 平均耗时为55s 平均正确率为 40%

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5

In the figure to the right is b > a? (Note: Figure not drawn to scale.)

(1) a = 35

(2) a < 60

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

60人做过此题 平均耗时为58s 平均正确率为 80%

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6

If $$xy \neq 0$$, what percent is x of y?

(1) x = 3y

(2) x — y = 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 statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

60人做过此题 平均耗时为21s 平均正确率为 80%

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7

In the figure to the right is b > a? (Note: Figure not drawn to scale.)

(1) a = 35

(2) a < 60

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

60人做过此题 平均耗时为15s 平均正确率为 53%

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8

What is the value of x?

(1) $$x^{ 2} – 5 x + 6 = 0$$

(2) x > 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

139人做过此题 平均耗时为37s 平均正确率为 93%

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9

If 3x + 2z = 34, what is the value of z?

(1) $$x^{3} = 64$$

(2) 5x = z + 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 statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

134人做过此题 平均耗时为50s 平均正确率为 69%

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10

In the current year's graduating class at a local university, students graduated either with or without honors. How many students graduated with honors?

(1) 20% of the students graduated with honors.

(2) 84 students graduated without honors.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

58人做过此题 平均耗时为36s 平均正确率为 95%

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