Data Sufficiency Problems

Question

If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house? (1) The selling price minus the real estate agentâ€™s commission was $84,600. (2) The selling price was 250 percent of the original purchase price of $36,000.

Possible Answers

Selected	Possible Answer
	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.
	Statement 1 alone is sufficient but statement 2 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

At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream? (1) At the picnic, 60 percent of the guests were served a double scoop of ice cream. (2) A total of 120 scoops of ice cream were served to all the guests at the picnic.

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.
	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.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.

Question

What is the value of z in the triangle above? (1) x + y = 139 (2) y + z = 108

Possible Answers

Selected	Possible Answer
	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.
	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.

Question

A thoroughly blended biscuit mix includes only flour and baking powder. What is the ratio of the number of grams of baking powder to the number of grams of flour in the mix? (1) Exactly 9.9 grams of flour is contained in 10 grams of the mix. (2) Exactly 0.3 gram of baking powder is contained in 30 grams of the mix.

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.
	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.

Question

A certain bakery sells rye bread in 16-ounce loaves and 24-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery? (1) The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40. (2) The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40.

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.
	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.
	Each statement alone is sufficient to answer the question.

Question

What is the value of |x|? (1) x = -|x| (2) x ^2 = 4.

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.
	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

By what percent was the price of a certain candy bar increased? (1) The price of the candy bar was increased by 5 cents. (2) The price of the candy bar after the increase was 45 cents.

Possible Answers

Selected	Possible Answer
	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.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band? (1) x = 0.5 (2) The height of the tub is 1 meter.

Possible Answers

Selected	Possible Answer
	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.
	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.

Question

Is it true that a > b? (1) 2a > 2b (2) a + c > b + c

Possible Answers

Selected	Possible Answer
	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.
	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.
	Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If $\frac {\sqrt {x}}{y} = n$ , what is the value of x? (1) yn = 10 (2) y = 40 and n =1/4

Possible Answers

Selected	Possible Answer
	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.
	Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.

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Data Sufficiency Problems

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