To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and apractical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-oldswho passed the written test did not pass the practical, how many sixteen-year-olds at Culliver High Schoolreceived their driver license?(1) There are 188 sixteen year-olds at Culliver High School.(2) 20% of the sixteen year-olds who passed the practical test failed the written test.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'C'. Can you explain this answer?

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GMAT Exam > GMAT Questions > To receive a driver license, sixteen year-old...

a)
Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.
b)
Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficient
c)
Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficient
d)
EACH stetement ALONE is sufficient
e)
Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.

Correct answer is option 'C'. Can you explain this answer?

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To receive a driver license, sixteen year-olds at Culliver High School...

For an overlapping set question, we can use a double-set matrix to organize the information and solve. The two sets in this question are the practical test (pass/fail) and the written test (pass/fail).

From the question we can fill in the matrix as follows. In a double-set matrix, the sum of the first two rows equals the third and the sum of the first two columns equals the third. The bolded value was derived from the other given values. The question asks us to find the value of .7x

(1) INSUFFICIENT: If we add the total number of students to the information from the question, we do not have enough to solve for .7x.

(2) INSUFFICIENT: If we add the fact that 20% of the sixteen year-olds who passed the practical test failed the written test to the original matrix from the question, we can come up with the relationship .7x = .8y. However, that is not enough to solve for .7x.

(1) AND (2) SUFFICIENT: If we combine the two statements we get a matrix that can be used to form two relationships between x and y:

.7x = .8y
y + .3x = 188

This would allow us to solve for x and in turn find the value of .7x, the number of sixteen year-olds who received a driver license.

The correct answer is C.

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To receive a driver license, sixteen year-olds at Culliver High School...

Statement (1): There are 188 sixteen-year-olds at Culliver High School.
Statement (2): 20% of the sixteen-year-olds who passed the practical test failed the written test.

To find the number of sixteen-year-olds at Culliver High School who received their driver's license, we need to determine the number of students who passed both the written and practical tests.

Analysis of Statement (1):
Statement (1) tells us that there are 188 sixteen-year-olds at Culliver High School. However, it does not provide any information about the number of students who passed both tests or the percentage of students who passed the tests. Therefore, statement (1) alone is not sufficient to answer the question.

Analysis of Statement (2):
Statement (2) states that 20% of the sixteen-year-olds who passed the practical test failed the written test. This information alone does not provide the total number of students who passed both tests or the total number of students who received their driver's license. Therefore, statement (2) alone is not sufficient to answer the question.

Analysis of Statements (1) and (2) together:
Combining both statements, we know that there are 188 sixteen-year-olds at Culliver High School (statement 1), and 20% of the students who passed the practical test failed the written test (statement 2).

Let's assume the number of students who passed the practical test is P.

From statement (2), we know that 20% of P failed the written test, which is 0.2P.

Therefore, the number of students who passed both tests is P - 0.2P = 0.8P.

We also know from statement (1) that there are 188 sixteen-year-olds, so P = 188.

Substituting the value of P into the equation, we get 0.8 * 188 = 150.4.

Since we cannot have a fraction of a student, we can conclude that 150 sixteen-year-olds at Culliver High School received their driver's license.

Therefore, both statements together are sufficient to answer the question.

Hence, the correct answer is (C) - Both statements together are sufficient, but neither statement alone is sufficient.

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To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and apractical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-oldswho passed the written test did not pass the practical, how many sixteen-year-olds at Culliver High Schoolreceived their driver license?(1) There are 188 sixteen year-olds at Culliver High School.(2) 20% of the sixteen year-olds who passed the practical test failed the written test.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'C'. Can you explain this answer?

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To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and apractical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-oldswho passed the written test did not pass the practical, how many sixteen-year-olds at Culliver High Schoolreceived their driver license?(1) There are 188 sixteen year-olds at Culliver High School.(2) 20% of the sixteen year-olds who passed the practical test failed the written test.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and apractical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-oldswho passed the written test did not pass the practical, how many sixteen-year-olds at Culliver High Schoolreceived their driver license?(1) There are 188 sixteen year-olds at Culliver High School.(2) 20% of the sixteen year-olds who passed the practical test failed the written test.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To receive a driver license, sixteen year-olds at Culliver High School have to pass both a written and apractical driving test. Everyone has to take the tests, and no one failed both tests. If 30% of the 16 year-oldswho passed the written test did not pass the practical, how many sixteen-year-olds at Culliver High Schoolreceived their driver license?(1) There are 188 sixteen year-olds at Culliver High School.(2) 20% of the sixteen year-olds who passed the practical test failed the written test.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'C'. Can you explain this answer?.

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