If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. 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 > If a, b and x are integers such that , what i...

If a, b and x are integers such that

, what is the value of a - b

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
d)
EACH statement ALONE is sufficient to answer the question asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

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

Join for Free

Join for Free

Verified Answer

If a, b and x are integers such that , what is the value of a - ba)Sta...

Steps 1 & 2: Understand Question and Draw Inferences

As a⁶ is always positive,a⁶= 1, i.e. a = 1 or -1
So, we can reject the value of
Possible values of a – b
If a = 1 and b = 1, a – b = 0
If a = -1 and b = 1, a- b = -2
So, we need to find the unique value of a to find the value of a – b.

Step 3: Analyze Statement 1 independently

(1) a³ b⁷ > 0
Rewriting a³b⁷ as ab(a²b⁶)
Therefore, ab(a²b⁶)>0
We know that a²b⁶ is always > 0 (even power of any number is always positive)
So, for ab(a²b⁶)> 0
ab > 0
- This tells us that a and b have same signs.
- Since b > 0, therefore a will also be greater than 0, so the value of a = 1.
- a – b = 1 -1 = 0
Sufficient to answer

Step 4: Analyze Statement 2 independently

(2) a + b > 0
If a = 1 and b = 1, a + b = 2 > 0
If a = -1 and b = 1, a + b = 0, is not greater than zero
Hence, we have a unique answer, where a =1 and b = 1

Thus a – b = 1 – 1 = 0.

Sufficient to answer.

Step 5: Analyze Both Statements Together (if needed)

As we have a unique answer from steps 3 and 4, this step is not required.

Answer: D

View all questions of this test

Most Upvoted Answer

If a, b and x are integers such that , what is the value of a - ba)Sta...

Steps 1 & 2: Understand Question and Draw Inferences

As a⁶ is always positive,a⁶= 1, i.e. a = 1 or -1
So, we can reject the value of
Possible values of a – b
If a = 1 and b = 1, a – b = 0
If a = -1 and b = 1, a- b = -2
So, we need to find the unique value of a to find the value of a – b.

Step 3: Analyze Statement 1 independently

(1) a³ b⁷ > 0
Rewriting a³b⁷ as ab(a²b⁶)
Therefore, ab(a²b⁶)>0
We know that a²b⁶ is always > 0 (even power of any number is always positive)
So, for ab(a²b⁶)> 0
ab > 0
- This tells us that a and b have same signs.
- Since b > 0, therefore a will also be greater than 0, so the value of a = 1.
- a – b = 1 -1 = 0
Sufficient to answer

Step 4: Analyze Statement 2 independently

(2) a + b > 0
If a = 1 and b = 1, a + b = 2 > 0
If a = -1 and b = 1, a + b = 0, is not greater than zero
Hence, we have a unique answer, where a =1 and b = 1

Thus a – b = 1 – 1 = 0.

Sufficient to answer.

Step 5: Analyze Both Statements Together (if needed)

As we have a unique answer from steps 3 and 4, this step is not required.

Answer: D

Answered by Talent Skill Learning · View profile

Free Test

FREE

Test: Exponents- 2
20 Ques | 40 Min

Start Free Test

View all free GMAT tests

Community Answer

If a, b and x are integers such that , what is the value of a - ba)Sta...

Steps 1 & 2: Understand Question and Draw Inferences

As a⁶ is always positive,a⁶= 1, i.e. a = 1 or -1
So, we can reject the value of
Possible values of a – b
If a = 1 and b = 1, a – b = 0
If a = -1 and b = 1, a- b = -2
So, we need to find the unique value of a to find the value of a – b.

Step 3: Analyze Statement 1 independently

(1) a³ b⁷ > 0
Rewriting a³b⁷ as ab(a²b⁶)
Therefore, ab(a²b⁶)>0
We know that a²b⁶ is always > 0 (even power of any number is always positive)
So, for ab(a²b⁶)> 0
ab > 0
- This tells us that a and b have same signs.
- Since b > 0, therefore a will also be greater than 0, so the value of a = 1.
- a – b = 1 -1 = 0
Sufficient to answer

Step 4: Analyze Statement 2 independently

(2) a + b > 0
If a = 1 and b = 1, a + b = 2 > 0
If a = -1 and b = 1, a + b = 0, is not greater than zero
Hence, we have a unique answer, where a =1 and b = 1

Thus a – b = 1 – 1 = 0.

Sufficient to answer.

Step 5: Analyze Both Statements Together (if needed)

As we have a unique answer from steps 3 and 4, this step is not required.

Answer: D

View all answers Start learning for free

Explore Courses for GMAT exam

Similar GMAT Doubts

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

The function SCI is defined as SCI(x, y) = z, where z is the sum of y consecutive positive integers starting from positive integer x. If a and n are positive integers, is SCI(a,n) divisible by n?(1) 3n +2a is not divisible by 2(2) 3a +2n is divisible by 2

View answer

Directions: Each GMAT Data Sufficiency problem consists of a question and two statements labeled (1) and (2), that provide data. Based on the data given plus your knowledge of mathematics and everyday facts, you must decide whether the data are sufficient for answering the question. The five answer choices are the same for every data sufficiency question.For integers w, x, y, and z, is wxyz = -1?(1) wx / yz = -1(2) w = -1/x and y = 1/z

View answer

Directions: Each GMAT Data Sufficiency problem consists of a question and two statements labeled (1) and (2), that provide data. Based on the data given plus your knowledge of mathematics and everyday facts, you must decide whether the data are sufficient for answering the question. The five answer choices are the same for every data sufficiency question.How many integers are there between m and n, exclusive, if m and n are themselves integers?(1) m − n = 8(2) There are 5 integers between, but not including, m − 1 and n − 1.

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 2025

Top Courses for GMAT

View all

If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. 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 If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?.

Solutions for If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. 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 If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If a, b and x are integers such that , what is the value of a - ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.

Explore Courses for GMAT exam