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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.Two quadratic equations 2x2 - 7x + k = 0 and x2 + x - 6 = 0 have a common root. What is the value of k?
A. k is a positive integer.
B. k + 39 is a natural number
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
  • e)
    5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Each question is followed by two statements, A and B. Answer each ques...
Solution: The roots of x2 + x - 6 = 0 are x = 2, -3
Let the common root of both equations be x = 2 & let the other root of 2x2 - 7x + k = 0 be a.
a = 3/2
Also, product of roots = 
Let the common root of both equations be x = -3 & let the other root of 2x2 - 7x + k = 0 be b.
Also, product of roots  = -3b = K/2
Using statement A alone:
Since k is a positive integer, k = 6.
Thus, the question can be answered using statement A alone.
Using statement B alone:
k + 39 is a natural number
For k = 6 or - 39 , k + 39 = 45 or 0
0 is not a natural number.
k = 6.
Thus, the question can be answered using statement B alone.
Thus, the question can be answered using either statement alone.
Hence, option 3.
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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.Two quadratic equations 2x2 - 7x + k = 0 and x2 + x - 6 = 0 have a common root. What is the value of k?A. k is a positive integer.B. k + 39 is a natural numbera)1b)2c)3d)4e)5Correct answer is option 'C'. 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.Two quadratic equations 2x2 - 7x + k = 0 and x2 + x - 6 = 0 have a common root. What is the value of k?A. k is a positive integer.B. k + 39 is a natural numbera)1b)2c)3d)4e)5Correct answer is option 'C'. 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.Two quadratic equations 2x2 - 7x + k = 0 and x2 + x - 6 = 0 have a common root. What is the value of k?A. k is a positive integer.B. k + 39 is a natural numbera)1b)2c)3d)4e)5Correct answer is option 'C'. 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.Two quadratic equations 2x2 - 7x + k = 0 and x2 + x - 6 = 0 have a common root. What is the value of k?A. k is a positive integer.B. k + 39 is a natural numbera)1b)2c)3d)4e)5Correct answer is option 'C'. 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.Two quadratic equations 2x2 - 7x + k = 0 and x2 + x - 6 = 0 have a common root. What is the value of k?A. k is a positive integer.B. k + 39 is a natural numbera)1b)2c)3d)4e)5Correct answer is option 'C'. 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.
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