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GMAT Data Sufficiency Test-1

A test by Suresh.

Test Questions

Question

If a and b are positive, is 1/(1/a+1/b) less than ab? (1) a=2b (2) a+b > 1

Answers

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

Question

If 5a=9b=15c, what is the value of a+b+c? (1) 3c-a=5c-3b (2) 6cb=10a

Answers

Correct	Answer Text
	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

In triangle ABC angle A is the greatest angle. D is the foot of the perpendicular dropped on to BC from A. Is triangle ABC right-angled? (1) AD^2= BD x DC. (2) AD/DC < BD/AD.

Answers

Correct	Answer Text
	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

Is x > y^2 ? (1) x > y + 5 (2) x^2 - y^2 = 0

Answers

Correct	Answer Text
	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

In a company of 140 employees, there are three departments, A, B and C. The average number of safety errors committed by each employee in department A in 2005 was 10, and the average number of safety errors committed by each employee in department B was 12.25. Was the average number of safety errors committed by each employee in the company greater than 11? (1) The 45 employees in department C each committed an average of 13 safety errors in 2005. (2) There are 44 employees in department B.

Answers

Correct	Answer Text
	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.
	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

Is integer x, positive ? (1) x > x^3 (2) x < x^2

Answers

Correct	Answer Text
	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

Is the five digit number ABCDE divisible by 13? (1) The number CD is divisible by 13. (2)10A+B+4C+3D-E is divisible by 13.

Answers

Correct	Answer Text
	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.
	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.

Question

If n>1, is n=2? (1) n has only two positive factors. (2) The difference between any two positive factors is odd.

Answers

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

Question

The roots of a quadratic equation ax^2+bx+c=0 are integers and a+b+c>0 and a>0. Are both the roots of the equation positive? (1) Sum of the roots is positive. (2) Product of the roots is positive.

Answers

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

Question

If x and y are positive integers , is x^16 - y^8 + 345y^2 is divisible by 15 ? (1) x is a multiple of 25 and y is a multiple of 20 (2)y = x^2

Answers

Correct	Answer Text
	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.
	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.