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Determine the value of t.
1. 2t + 6s = 8
2. t/2 - 2 = - 3s/4
1. 2t + 6s = 8
2. t/2 - 2 = - 3s/4
- 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 ask
- 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 'E'. Can you explain this answer?
Verified Answer
Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)Statement ...
In statement 1, 2t + 6s = 8 is one equation is two unknowns, hence we cannot determine the value of t. The statement is insufficient.
In statement 2, t/2 - 2 = -3s/4 can be transformed to t - 4 = -6s/2. But this is an equation with two unknowns hence we cannot determine the value of t. The statement is insufficient.
Combining the two statements, we have 2, t/2 - 2 = -3s/4 which can be transformed to t - 4 = -6s/2 then to 2t - 8 = -6s but this is equal to the equation 2t + 6s = 8, hence we have an equation with two unknowns. Thus, we cannot determine the value of t; the statements (1) and (2) TOGETHER are NOT sufficient.
In statement 2, t/2 - 2 = -3s/4 can be transformed to t - 4 = -6s/2. But this is an equation with two unknowns hence we cannot determine the value of t. The statement is insufficient.
Combining the two statements, we have 2, t/2 - 2 = -3s/4 which can be transformed to t - 4 = -6s/2 then to 2t - 8 = -6s but this is equal to the equation 2t + 6s = 8, hence we have an equation with two unknowns. Thus, we cannot determine the value of t; the statements (1) and (2) TOGETHER are NOT sufficient.
Most Upvoted Answer
Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)Statement ...
Solution:
We are given two equations and we need to determine the value of t. Let's analyze each statement one by one.
Statement 1: 2t - 6s = 8
This equation can be simplified by dividing both sides by 2.
t - 3s = 4
We can rearrange this equation to solve for t.
t = 4 + 3s
This equation tells us that t is equal to 4 plus 3 times s. However, we do not know the value of s, so we cannot determine the value of t based on this statement alone.
Statement 2: t/2 - 2 = -3s/4
We can simplify this equation by adding 2 to both sides.
t/2 = -3s/4 + 2
Multiplying both sides by 2, we get
t = -3s/2 + 4
This equation tells us that t is equal to -3/2 times s plus 4. However, we do not know the value of s, so we cannot determine the value of t based on this statement alone.
Statements 1 and 2 together
If we combine the two equations, we get a system of two equations with two variables.
2t - 6s = 8
t/2 - 2 = -3s/4
We can solve this system of equations by using substitution or elimination. For simplicity, we will use substitution.
From statement 2, we know that
t = -3s/2 + 4
Substituting this expression for t into the first equation, we get
2(-3s/2 + 4) - 6s = 8
Simplifying, we get
-3s + 8 - 6s = 8
-9s = 0
s = 0
Now that we know the value of s, we can substitute it back into either equation to find the value of t.
From statement 1, we know that
t - 3s = 4
Substituting s = 0, we get
t - 3(0) = 4
t = 4
Therefore, the value of t is 4.
Both statements 1 and 2 together are sufficient to answer the question, but neither statement alone is sufficient. Therefore, the correct answer is (E).
We are given two equations and we need to determine the value of t. Let's analyze each statement one by one.
Statement 1: 2t - 6s = 8
This equation can be simplified by dividing both sides by 2.
t - 3s = 4
We can rearrange this equation to solve for t.
t = 4 + 3s
This equation tells us that t is equal to 4 plus 3 times s. However, we do not know the value of s, so we cannot determine the value of t based on this statement alone.
Statement 2: t/2 - 2 = -3s/4
We can simplify this equation by adding 2 to both sides.
t/2 = -3s/4 + 2
Multiplying both sides by 2, we get
t = -3s/2 + 4
This equation tells us that t is equal to -3/2 times s plus 4. However, we do not know the value of s, so we cannot determine the value of t based on this statement alone.
Statements 1 and 2 together
If we combine the two equations, we get a system of two equations with two variables.
2t - 6s = 8
t/2 - 2 = -3s/4
We can solve this system of equations by using substitution or elimination. For simplicity, we will use substitution.
From statement 2, we know that
t = -3s/2 + 4
Substituting this expression for t into the first equation, we get
2(-3s/2 + 4) - 6s = 8
Simplifying, we get
-3s + 8 - 6s = 8
-9s = 0
s = 0
Now that we know the value of s, we can substitute it back into either equation to find the value of t.
From statement 1, we know that
t - 3s = 4
Substituting s = 0, we get
t - 3(0) = 4
t = 4
Therefore, the value of t is 4.
Both statements 1 and 2 together are sufficient to answer the question, but neither statement alone is sufficient. Therefore, the correct answer is (E).
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Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. 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 Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer?.
Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. 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 Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer?.
Solutions for Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer?, a detailed solution for Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer? has been provided alongside types of Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Determine the value of t.1. 2t + 6s = 82. t/2 - 2 = - 3s/4a)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 askd)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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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