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If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?
(1) The tens digit of x is one less than the tens digit of z.
(2) The sum of digits of y is equal to the tens digit of y.
(2) The sum of digits of y is equal to the tens digit of y.
- 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
- 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 are needed
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then w...
Statement (1): The tens digit of x is one less than the tens digit of z.
This statement provides information about the relationship between the tens digits of x and z. Let's assume the tens digit of x is represented by 'a' and the tens digit of z is represented by 'b'. According to statement (1), we have the equation:
a = b - 1
However, this equation alone does not provide enough information to determine the value of y.
For example, if x = 205 and z = 216, then a = 2 and b = 3.
In this case, there are multiple possible values for y, such as 13 or 22.
Therefore, statement (1) alone is not sufficient to answer the question.
For example, if x = 205 and z = 216, then a = 2 and b = 3.
In this case, there are multiple possible values for y, such as 13 or 22.
Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): The sum of digits of y is equal to the tens digit of y.
This statement provides information about the relationship between the sum of digits and the tens digit of y.
Let's assume the tens digit of y is represented by 'c'.
According to statement (2), we have the equation:
Let's assume the tens digit of y is represented by 'c'.
According to statement (2), we have the equation:
c = sum of digits of y
However, this equation alone does not provide enough information to determine the value of y.
For example, if c = 3, there are multiple possible values for y that satisfy this condition, such as 12, 21, or 30.
Therefore, statement (2) alone is not sufficient to answer the question.
For example, if c = 3, there are multiple possible values for y that satisfy this condition, such as 12, 21, or 30.
Therefore, statement (2) alone is not sufficient to answer the question.
By analyzing the statements together, we can combine the information from both statements.
However, even when considering both statements, we still cannot determine the exact value of y.
Both statements provide some constraints on the possible values of y, but they do not uniquely determine its value.
However, even when considering both statements, we still cannot determine the exact value of y.
Both statements provide some constraints on the possible values of y, but they do not uniquely determine its value.
Therefore, the correct answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
Community Answer
If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then w...
Understanding the Problem
To determine the value of y, we have x = y + z, where x is a 3-digit number, and y and z are 2-digit numbers.
Statement Analysis
Statement (1): The tens digit of x is one less than the tens digit of z.
- This gives a relationship between the tens digits of x and z, but does not directly help us find y.
- However, knowing the tens digit of z can help to narrow down possible values for y, since y + z = x.
Statement (2): The sum of the digits of y is equal to the tens digit of y.
- If the sum of the digits of y equals its tens digit, this implies that y has a specific structure. For example, if y = 34, the sum of the digits (3 + 4) is not equal to 3.
- This constrains the possible values of y, but does not give a direct answer to what y is.
Combining Statements (1) and (2):
- Statement (1) gives a relationship between x and z, while Statement (2) specifies the structure of y.
- By analyzing the relationships together, we can derive specific values for y and z.
Conclusion
- Each statement alone does not provide enough information to determine y.
- However, when combined, they create a clearer picture of the relationship between x, y, and z, allowing us to find y.
Thus, the correct answer is option 'C': BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
To determine the value of y, we have x = y + z, where x is a 3-digit number, and y and z are 2-digit numbers.
Statement Analysis
Statement (1): The tens digit of x is one less than the tens digit of z.
- This gives a relationship between the tens digits of x and z, but does not directly help us find y.
- However, knowing the tens digit of z can help to narrow down possible values for y, since y + z = x.
Statement (2): The sum of the digits of y is equal to the tens digit of y.
- If the sum of the digits of y equals its tens digit, this implies that y has a specific structure. For example, if y = 34, the sum of the digits (3 + 4) is not equal to 3.
- This constrains the possible values of y, but does not give a direct answer to what y is.
Combining Statements (1) and (2):
- Statement (1) gives a relationship between x and z, while Statement (2) specifies the structure of y.
- By analyzing the relationships together, we can derive specific values for y and z.
Conclusion
- Each statement alone does not provide enough information to determine y.
- However, when combined, they create a clearer picture of the relationship between x, y, and z, allowing us to find y.
Thus, the correct answer is option 'C': BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. 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 If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. 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 If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If x, a 3-digit number, is sum of two 2-digit numbers, y and z, then what is y?(1) The tens digit of x is one less than the tens digit of z.(2) The sum of digits of y is equal to the tens digit of y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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