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Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:
Statements:
S1: Their product is 21.
S2: Their sum is 10.
S1: Their product is 21.
S2: Their sum is 10.
Question:
What are the two numbers?
What are the two numbers?
Which one of the following is correct in respect of the above Statements and the Question?
- a)S1 alone is sufficient to answer the Question.
- b)S2 alone is sufficient to answer the Question.
- c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
- d)S1 and S2 together are not sufficient to answer the Question.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two Statements S1 and S2 are given below with regard to two numbers fo...
Let numbers be x and y
S1: x * y = 21
x and y can be any number of values as it is nowhere mentioned in the question that the numbers are integers. The numbers can be decimal or fractions as well so S1 alone is not sufficient to answer the question.
S2: x + y = 10
The reasoning for S2 is the same as that for S1.
But when we use the info given in both S1 and S2, we can find the numbers, as there are two equations and two variables.
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S1: x * y = 21
x and y can be any number of values as it is nowhere mentioned in the question that the numbers are integers. The numbers can be decimal or fractions as well so S1 alone is not sufficient to answer the question.
S2: x + y = 10
The reasoning for S2 is the same as that for S1.
But when we use the info given in both S1 and S2, we can find the numbers, as there are two equations and two variables.
Therefore, Option C is correct.
Most Upvoted Answer
Two Statements S1 and S2 are given below with regard to two numbers fo...
Explanation:
The problem gives us two statements about two unknown numbers, and we need to find out what they are. Let's call the numbers x and y. We can use algebra to solve the problem.
Statement 1: Their product is 21.
xy = 21
Statement 2: Their sum is 10.
x + y = 10
To solve for x and y, we can use substitution. We can solve for one variable in terms of the other in one equation, and then substitute that expression into the other equation.
From Statement 1, we can solve for y in terms of x:
y = 21/x
Substituting this expression for y into Statement 2:
x + 21/x = 10
Multiplying both sides by x:
x^2 + 21 = 10x
Rearranging:
x^2 - 10x + 21 = 0
This is a quadratic equation that we can solve using factoring or the quadratic formula. Factoring gives us:
(x - 7)(x - 3) = 0
So, the solutions are x = 7 and x = 3. Substituting these values into either equation, we get the corresponding values for y:
If x = 7, then y = 3
If x = 3, then y = 7
Therefore, the two numbers are 3 and 7.
Conclusion:
Both statements together are needed to solve the problem, but neither statement alone is sufficient. Statement 1 tells us the product of the numbers, but there are many pairs of numbers that multiply to 21. Statement 2 tells us the sum of the numbers, but there are also many pairs of numbers that add up to 10. Only by using both statements can we narrow down the possibilities and find the unique solution.
The problem gives us two statements about two unknown numbers, and we need to find out what they are. Let's call the numbers x and y. We can use algebra to solve the problem.
Statement 1: Their product is 21.
xy = 21
Statement 2: Their sum is 10.
x + y = 10
To solve for x and y, we can use substitution. We can solve for one variable in terms of the other in one equation, and then substitute that expression into the other equation.
From Statement 1, we can solve for y in terms of x:
y = 21/x
Substituting this expression for y into Statement 2:
x + 21/x = 10
Multiplying both sides by x:
x^2 + 21 = 10x
Rearranging:
x^2 - 10x + 21 = 0
This is a quadratic equation that we can solve using factoring or the quadratic formula. Factoring gives us:
(x - 7)(x - 3) = 0
So, the solutions are x = 7 and x = 3. Substituting these values into either equation, we get the corresponding values for y:
If x = 7, then y = 3
If x = 3, then y = 7
Therefore, the two numbers are 3 and 7.
Conclusion:
Both statements together are needed to solve the problem, but neither statement alone is sufficient. Statement 1 tells us the product of the numbers, but there are many pairs of numbers that multiply to 21. Statement 2 tells us the sum of the numbers, but there are also many pairs of numbers that add up to 10. Only by using both statements can we narrow down the possibilities and find the unique solution.
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Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer?.
Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:Statements:S1: Their product is 21.S2: Their sum is 10.Question:What are the two numbers?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
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