CAT Exam  >  CAT Questions  >  Each question is followed by two statements, ... Start Learning for Free
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.
View all questions of this test
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.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev