10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer?

EduRev

All Courses

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GMAT Exam > GMAT Questions > 10, 6, p, q, 11Given the above series of posi...

Join the Discussion on the App

10, 6, p, q, 11

Given the above series of positive integers arranged in a random order, what is the value of p/q?

(1) The average (arithmetic mean) of given numbers is 7

(2) p is the median of the given series

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

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

FREE This question is part of

Test: Statistics- 1

Attempt Test

Attempt this Test

Verified Answer

10, 6, p, q, 11Given the above series of positive integers arranged in...

Steps 1 & 2: Understand Question and Draw Inferences

We are given that a series consist of 5 elements arranged in a random order. The numbers are 10, 6, p, q, and 11 where p and q are positive integers.

We have to find the value p/q. For that, we need to find the value of p and q.

Since there is no other information provided in the question, let’s move on to the analysis of statements 1 and 2.

Step 3: Analyze Statement 1

The average (arithmetic mean) of given numbers is 7

Now, the average of these numbers can be calculated as follows:

However, there are multiple options available for the values of p and q:

p = 7, q = 1 OR p = 1, q = 7

p = 6, q = 2 OR p = 2, q = 6

p = 5, q = 3 OR p = 3, q = 5

p = 4, q=4

Hence, statement 1 alone is not sufficient to answer the question.

Step 4: Analyze Statement 2

p is the median of the given series

The fact that p is the median of the series tells us only that if the numbers are arranged in ascending or descending order, the number p will come at the third place.

The following table lists all the possible arrangements and the corresponding values of (p,q) that are possible:

Thus, we see that there exist multiple sets of possible values of (p,q)

Hence, statement 2 alone is not sufficient to answer the question.

Step 5: Analyze Both Statements Together (if needed)

From Statement 1,

p + q = 8

From Statement 2,

All the sets of (p,q) in the table above are possible

By combining both sets,

Let’s pick those sets from the table above for which p + q = 8

Such sets of (p, q) are:

(7,1), (6,2)

For the set (7,1), the value of p/q is 7

For the set (6,2), the value of p/q is 3

Thus, we don’t get a unique value of the ratio p/q.

Both statements combined are not sufficient to answer the question.

Answer: Option (E)

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for GMAT exam

Similar GMAT Doubts

A, B, C, D, E, and F are six consecutive positive odd integers in increasing order. What is the value of the median of these six integers?(1) The sum of the two smallest integers is greater than the largest integer by 13(2) The average (arithmetic mean) of these integers is 26

View answer

A list consists of 4 distinct positive integers. If the average (arithmetic mean) of the integers in the list is 15, what is the rangeof the integers in the list?(1) The median of the list is 14(2) The greatest number that divides each of the integers in the list completely is 4.

View answer

There are 3 different positive integers. If their average (the arithmetic mean) is 8, what are their values?1) The largest integer is twice the smallest integer.2) One of them is 9.

View answer

List A contains 16 distinct odd integers and 9 distinct even integers such that the average (arithmetic mean) of List A is 13.84. If each odd integer is doubled in magnitude, what is the new average (arithmetic mean) of List A?(1) The average (arithmetic mean) of the even integers in List A is 10(2) Before each odd integer is doubled in magnitude, the smallest odd integer in List A is 1 and the largest odd integer in List A is31.

View answer

If a and b are positive integers such that a = 24b + 56, what is the highest common factor for a and b?(1) a = 8p, where p is a positive integer.(2) b= 7q, where q is a positive integer.

View answer

Top Courses for GMATView all

GMAT Focus Edition Mock Test Series 2024

Top Courses for GMAT

View all

10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer?.

Solutions for 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

Here you can find the meaning of 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 10, 6, p, q, 11Given the above series of positive integers arranged in a random order, what is the value of p/q? (1) The average (arithmetic mean) of given numbers is 7 (2) p is the median of the given seriesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.

Explore Courses for GMAT exam