Directions How to Answer

Aptitude Test Topic: Data Sufficiency

Data sufficiency questions consist of a question followed by two statements. Your job is to decide whether the information in the statements (taken singly or together) is sufficient to answer the question.

Directions

This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether:

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 asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

To give the answer click/tap the option alphabet for your answer choice. for correct answer green check and for wrong answer a red cross will appear along with a button to show explanation with or without video of the question answer.

Data Sufficiency: Value Questions Practice MCQ

Question Statement:

How many prime factors of x are also prime factors of y?

(1) x = 30

(2) y is a multiple of x.

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 statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

Explanation:

Correct Answer: C

Statement (1) tells us nothing about the prime factors of y, so it is not sufficient on its own. We can eliminate B, C, and E. We do know at this point, though, that the set of prime factors in question is {2, 3, 5}.

Statement (2) on its own tells us nothing about the prime factors of x, so it is not sufficient on its own. We can eliminate B.

Putting them together, we can see that all of the prime factors of x would also be prime factors of y, so they have those same three prime factors in common. Since the statements are sufficient together, then answer is C.

Question: 1 Test: 1 of 2 Next Test

Tests

You are taking Aptitude Test No. 1

Each aptitude test is comprised of 10 except the last test which might have fewer than 10 in some topics.

You are at question (MCQ) number 1 and Test Number 1 of Data Sufficiency: Value Questions. To deal with Data Sufficiency questions, you must take lesson on the subject. In case of science and Art subjects revise your text books and in case of general aptitude topics take lessons from the topic page.

The question:

How many prime factors of x are also prime factors of y?

(1) x = 30

(2) y is a mu .... with options: 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 statement ALONE is sufficient., EACH statement ALONE is sufficient. can be solved with the concepts and understanding of Data Sufficiency.