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Each question is followed by two statements, A and B. Answer each question using the following instructions:
Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.
Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.
Mark option (3) if the question can be answered by using either statement alone.
Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark option (5) if the question cannot be answered on the basis of the two statements.
 
Q. What is the first term of the geometric progression?
A. The sum of the first three terms of the progression is 13.
B. The product of the first three terms of the progression is 27.
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
  • e)
    5
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Each question is followed by two statements, A and B. Answer each ques...
Solution: Let the first three terms of the G.P. be air, a and ar where air is the first term.
Using statement A alone: 
This is a linear equation in two variables. So, the value of a and r cannot be found. Thus, the first term cannot be found.
Thus, the question cannot be answered using statement A alone.
Using statement B alone: 
But the value of r is unknown.
So, the first term cannot be found.
Thus, the question cannot be answered using statement B alone.
Using statements A and B together: Substitute the value of a from (2) in (1).
 
Based on the value of r, the first three terms of the G.P. are 1,3 and 9 or 9, 3 and 1.
Thus, a unique first term is not found.
Thus, the question cannot be answered on the basis of the two statements. Hence, option 5.
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Most Upvoted Answer
Each question is followed by two statements, A and B. Answer each ques...
Explanation:

The given problem is related to Geometric Progression (G.P.). Let the first term of the G.P. be 'a' and the common ratio be 'r'. Then the second term will be 'ar', the third term will be 'ar^2', and so on.

From statement A, we get that the sum of the first three terms of the progression is 13. Hence, we can write the equation as:

a + ar + ar^2 = 13

From statement B, we get that the product of the first three terms of the progression is 27. Hence, we can write the equation as:

a × ar × ar^2 = 27

By solving the above two equations, we can find the value of 'a'. However, we cannot solve for 'a' using either statement alone. Hence, the answer is option (5), i.e., the question cannot be answered on the basis of the two statements.
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Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. What is the first term of the geometric progression?A. The sum of the first three terms of the progression is 13.B. The product of the first three terms of the progression is 27.a)1b)2c)3d)4e)5Correct answer is option 'E'. Can you explain this answer?
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Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. What is the first term of the geometric progression?A. The sum of the first three terms of the progression is 13.B. The product of the first three terms of the progression is 27.a)1b)2c)3d)4e)5Correct answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. What is the first term of the geometric progression?A. The sum of the first three terms of the progression is 13.B. The product of the first three terms of the progression is 27.a)1b)2c)3d)4e)5Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question is followed by two statements, A and B. Answer each question using the following instructions:Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements.Q. What is the first term of the geometric progression?A. The sum of the first three terms of the progression is 13.B. The product of the first three terms of the progression is 27.a)1b)2c)3d)4e)5Correct answer is option 'E'. Can you explain this answer?.
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