Basic Data Sufficiency Questions

Question

A raincoat and an umbrella cost a total of $53.50. What is the cost of the raincoat? (1) If the cost of the raincoat were to increase by 10 percent, the raincoat and the umbrella would cost a total of $58.00. (2) The cost of the raincoat is $2.50 more than 5 times the cost of the umbrella.

Possible Answers

Selected	Possible Answer
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Each statement alone is sufficient to answer the question.

Question

What is the value of x^2 + 2xy + y^2 ?

(1) x + y = 7 (2) x = 2

Possible Answers

Selected	Possible Answer
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Each statement alone is sufficient to answer the question.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

Question

In year X a total of 355 billion dollars was spent for health care in the United States, 30 percent of which was spent by private health insurance compa-nies. Was the amount spent for health care by the federal government’s medicare program less than 60 billion dollars? (1) In year X medicare spent more than 1/2, but less than 2/3 , of the amount spent by the private health insurance companies for health care. (2) In year X medicare spent 50 billion dollars less for health care than the amount spent by private health insurance companies.

Possible Answers

Selected	Possible Answer
	Each statement alone is sufficient to answer the question.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

Question

If $xyz \not= 0$ what is the value of $\frac {z}{y^2}$ ?

$(1) \quad x = \frac {3}{4} y$ $(2) \quad z = \frac {2}{3} x$

Possible Answers

Selected	Possible Answer
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Each statement alone is sufficient to answer the question.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.

Question

In the figure above, x, y, and z denote the lengths of the sides of a triangular flower bed bounded by three driveways. What is the perimeter of the flower bed ?

(1) x = y = 30 feet. (2) k = 60

Possible Answers

Selected	Possible Answer
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Each statement alone is sufficient to answer the question.

Question

If y = ax + b, where a and b are constants, what is the value of y when x = 10 ? (1) When x = 1, y = 5. (2) When x = 5, y = 13.

Possible Answers

Selected	Possible Answer
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Each statement alone is sufficient to answer the question.

Question

Is r > s ?

(1) -r + s < 0 (2) r < | s |

Possible Answers

Selected	Possible Answer
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Each statement alone is sufficient to answer the question.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.

Question

If each of the positive integers a, b, and c is a prime number and abc = 30, what is the value of c ?

(1) a < b < c (2) a + b = c

Possible Answers

Selected	Possible Answer
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Each statement alone is sufficient to answer the question.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Jane is in a certain ticket line in which each of the other people in the line is either behind her or ahead of her. In the line, the number of people ahead of Jane is 5 more than the number of people behind her. What is the total number of people in the line?

(1) There are 11 people ahead of Jane in the line. (2) The total number of people in the line is 3 times the number of people behind Jane.

Possible Answers

Selected	Possible Answer
	Each statement alone is sufficient to answer the question.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If x and y are positive, then x is what percent of y?

(1) 15 is 25 percent of y. (2) x is 10 percent of 2y.

Possible Answers

Selected	Possible Answer
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	Each statement alone is sufficient to answer the question.

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Basic Data Sufficiency Questions

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