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Consider the question and two statements given below:
LCM of two numbers are x and y is 323 where x > y.
What is the value of (2x - 3y)?
Statement 1: y > 1
Statement 2: HCF of x and y is 1.
Which one of the following is correct in respect of the question and the statements?
- a)Statement 1 alone is sufficient to answer the question
- b)Statement 2 alone is sufficient to answer the question
- c)Both statement 1 and statement 2 are sufficient to answer the question
- d)Both statement 1 and statement 2 are not sufficient to answer the question
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Consider the question and two statements given below: LCM of two numbe...
Statement Analysis:
Statement 1: y > 1
This statement provides information about the value of y, stating that y is greater than 1. This information alone is not sufficient to determine the value of (2x - 3y), as it does not provide any information about the values of x or the relationship between x and y.
Statement 2: HCF of x and y is 1
This statement provides information about the highest common factor (HCF) of x and y, indicating that the two numbers are coprime. This means that x and y do not share any common factors other than 1. While this information is helpful, it is still not sufficient to determine the value of (2x - 3y) as it does not provide specific values for x and y.
Combining Statements:
When we combine the two statements, we have information about the relationship between x and y (HCF of 1) and the lower bound of y (>1). With this combined information, we can deduce that x must be a multiple of y, as the HCF of x and y is 1. Therefore, y must be 1, and x must be 323. Thus, we can calculate the value of (2x - 3y) as (2*323 - 3*1) = 643.
Therefore, the correct answer is option 'A', as statement 1 alone is not sufficient, but when combined with statement 2, it provides enough information to answer the question.
Statement 1: y > 1
This statement provides information about the value of y, stating that y is greater than 1. This information alone is not sufficient to determine the value of (2x - 3y), as it does not provide any information about the values of x or the relationship between x and y.
Statement 2: HCF of x and y is 1
This statement provides information about the highest common factor (HCF) of x and y, indicating that the two numbers are coprime. This means that x and y do not share any common factors other than 1. While this information is helpful, it is still not sufficient to determine the value of (2x - 3y) as it does not provide specific values for x and y.
Combining Statements:
When we combine the two statements, we have information about the relationship between x and y (HCF of 1) and the lower bound of y (>1). With this combined information, we can deduce that x must be a multiple of y, as the HCF of x and y is 1. Therefore, y must be 1, and x must be 323. Thus, we can calculate the value of (2x - 3y) as (2*323 - 3*1) = 643.
Therefore, the correct answer is option 'A', as statement 1 alone is not sufficient, but when combined with statement 2, it provides enough information to answer the question.
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Community Answer
Consider the question and two statements given below: LCM of two numbe...
Given:
LCM of two numbers x and y is 323 where x > y.
Concept used:
HCF: Product of the smallest power of each common prime factor in the numbers.
LCM:
Product of the greatest power of each prime factor, involved
in the numbers.
Calculation:
The factors of 323 = (323 × 1) and (17 × 19)
According to question x>y then,
(x,y) = (323,1) or (17,19)
Statement 1: y > 1
Hence, only possible value are x = 17 and y = 19
∴ we can easily find the value of 3x - 2y.
Statement 2: HCF of x and y is 1.
In both (323,1) or (17,19), HCF is 1.
Two different values of 3x -2y.
Hence, Statement 1 alone is sufficient to answer the question.
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Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?
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Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? for Software Development 2024 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Software Development 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? for Software Development 2024 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Software Development 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the question and two statements given below: LCM of two numbers are x and y is 323 where x > y. What is the value of (2x - 3y)? Statement 1: y > 1 Statement 2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements?a)Statement 1 alone is sufficient to answer the questionb)Statement 2 alone is sufficient to answer the question c)Both statement 1 and statement 2 are sufficient to answer the questiond)Both statement 1 and statement 2 are not sufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?.
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