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Consider the statements and conclusions given below.
Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.
Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.
Conclusion 1: C is greater than A, but less than B.
Conclusion 2: A is less than B, but greater than C.
Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.
Conclusion 1: C is greater than A, but less than B.
Conclusion 2: A is less than B, but greater than C.
Which of the above conclusions is/are correct?
- a)Only conclusion 1 is correct
- b)Only conclusion 2 is correct
- c)Both conclusions 1 and 2 are correct
- d)Both conclusions are incorrect
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Consider the statements and conclusions given below.Statement 1: If 45...
Explanation:
Statement Analysis:
- Statement 1: 45% of A is added to B, resulting in the sum being 125% of B.
- Statement 2: 20% of A is added to C, resulting in the sum being 125% of C.
Conclusion Analysis:
- Conclusion 1: C is greater than A, but less than B.
- Conclusion 2: A is less than B, but greater than C.
Evaluation of Conclusions:
- From Statement 1, we can deduce that A is greater than B, as adding 45% of A to B results in a sum greater than B. Therefore, Conclusion 2 is incorrect.
- From Statement 2, we can deduce that A is less than C, as adding 20% of A to C results in a sum greater than C. However, we cannot determine the relationship between B and C from this statement. Therefore, Conclusion 1 is correct.
Therefore, the correct conclusion is:
b) Only conclusion 1 is correct.
Statement Analysis:
- Statement 1: 45% of A is added to B, resulting in the sum being 125% of B.
- Statement 2: 20% of A is added to C, resulting in the sum being 125% of C.
Conclusion Analysis:
- Conclusion 1: C is greater than A, but less than B.
- Conclusion 2: A is less than B, but greater than C.
Evaluation of Conclusions:
- From Statement 1, we can deduce that A is greater than B, as adding 45% of A to B results in a sum greater than B. Therefore, Conclusion 2 is incorrect.
- From Statement 2, we can deduce that A is less than C, as adding 20% of A to C results in a sum greater than C. However, we cannot determine the relationship between B and C from this statement. Therefore, Conclusion 1 is correct.
Therefore, the correct conclusion is:
b) Only conclusion 1 is correct.
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Community Answer
Consider the statements and conclusions given below.Statement 1: If 45...
Let A = 100
From statement 1:
45% of A + B = 125% of B
Or (45/100) × 100 + B = (125/100) × B
Or 45 + B = 5B/4
Or (5B-4B)/4 = 45
Or B = 45×4
Or B = 180
From statement 2:
20% of A + C = 125% of C
Or (20/100) ×100 + C = (125/100) × C
Or 20 + C = 5C/4
Or (5C-4C)/4 = 20
Or C = 20×4
Or C = 80
Therefore, A = 100, B = 180 and C = 80
So, B > A > C (A is less than B, but greater than C)
Hence, option (b) is the correct answer.
45% of A + B = 125% of B
Or (45/100) × 100 + B = (125/100) × B
Or 45 + B = 5B/4
Or (5B-4B)/4 = 45
Or B = 45×4
Or B = 180
From statement 2:
20% of A + C = 125% of C
Or (20/100) ×100 + C = (125/100) × C
Or 20 + C = 5C/4
Or (5C-4C)/4 = 20
Or C = 20×4
Or C = 80
Therefore, A = 100, B = 180 and C = 80
So, B > A > C (A is less than B, but greater than C)
Hence, option (b) is the correct answer.
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Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer?
Question Description
Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer?.
Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the statements and conclusions given below.Statement 1: If 45% of a number A is added to another number B, the sum becomes 125% of the value of B.Statement 2: If 20% of a number A is added to another number C, the sum becomes 125% of the value of C.Conclusion 1: C is greater than A, but less than B.Conclusion 2: A is less than B, but greater than C.Which of the above conclusions is/are correct?a)Only conclusion 1 is correctb)Only conclusion 2 is correctc)Both conclusions 1 and 2 are correctd)Both conclusions are incorrectCorrect answer is option 'B'. Can you explain this answer?.
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