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There are 50 integers a1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to as G, and the smallest integer be referred to as L. The integers a1 through a24form sequence S1, and the rest form sequence S2. Each member of S1 is less than or equal to each member of S2.
Q. Elements of S1 are in ascending order, and those of S2 are in descending order. a24 and a25 are interchanged then which of the following statements is true ?
- a)S1 continues to be in ascending order
- b)S2 continues to be in descending order
- c)S1 continues to be in ascending order and S2 in descending order
- d)S2 continues to be in ascending order
- e)None of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
There are 50 integersa1, a2,....,a50, not all of them neccessarily dif...
sequence 1= {a1,a2 ,,, ......................... , a24} where a1<a2<a3<....................... <a24
sequence2 ={a25,a26,.......................... ,a50} where a25>a26>.....................>a50
and by given condition that each element of seq1 should be less than equal to seq2 element.
so smallest element of sequence 2 (which is a50) should be greater than equal to largest element of sequence 1(which is a24)
so,possible sequences :
sequence2 ={a25,a26,.......................... ,a50} where a25>a26>.....................>a50
and by given condition that each element of seq1 should be less than equal to seq2 element.
so smallest element of sequence 2 (which is a50) should be greater than equal to largest element of sequence 1(which is a24)
so,possible sequences :
SEQ 1 SEQ 2
1,2,3,............................ 24 49, 48,47,....................................., 24
OR
1,2,3,.............................24 50,49,48,........................................,25
so if we exchange a24 and a25 seq 1 will be in ascending mode . but seq 2 will not be in descending order .
1,2,3,............................ 24 49, 48,47,....................................., 24
OR
1,2,3,.............................24 50,49,48,........................................,25
so if we exchange a24 and a25 seq 1 will be in ascending mode . but seq 2 will not be in descending order .
Most Upvoted Answer
There are 50 integersa1, a2,....,a50, not all of them neccessarily dif...
Explanation:
Given that there are 50 integers, and the greatest integer is referred to as G and the smallest integer is referred to as L. Let's consider the sequence S1 which consists of the first 24 integers (a1 to a24), and the sequence S2 which consists of the remaining integers (a25 to a50).
Properties of S1 and S2:
- S1 is in ascending order, which means each member of S1 is less than or equal to the succeeding member.
- S2 is in descending order, which means each member of S2 is greater than or equal to the succeeding member.
Effect of interchanging a24 and a25:
When a24 and a25 are interchanged, it means that their positions in the sequence are swapped. This swap can have different effects on the order of S1 and S2.
Analysis:
- If a24 is greater than a25, then swapping them will not affect the order of S1 or S2.
- If a24 is less than a25, then swapping them will result in a change in the order of S1 and S2.
Conclusion:
Since the question does not provide any information about the values of a24 and a25, we cannot determine whether a24 is greater than or less than a25. Therefore, we cannot definitively say whether S1 or S2 will continue to be in ascending or descending order after the interchange.
Hence, the correct answer is option 'E', None of the above.
Given that there are 50 integers, and the greatest integer is referred to as G and the smallest integer is referred to as L. Let's consider the sequence S1 which consists of the first 24 integers (a1 to a24), and the sequence S2 which consists of the remaining integers (a25 to a50).
Properties of S1 and S2:
- S1 is in ascending order, which means each member of S1 is less than or equal to the succeeding member.
- S2 is in descending order, which means each member of S2 is greater than or equal to the succeeding member.
Effect of interchanging a24 and a25:
When a24 and a25 are interchanged, it means that their positions in the sequence are swapped. This swap can have different effects on the order of S1 and S2.
Analysis:
- If a24 is greater than a25, then swapping them will not affect the order of S1 or S2.
- If a24 is less than a25, then swapping them will result in a change in the order of S1 and S2.
Conclusion:
Since the question does not provide any information about the values of a24 and a25, we cannot determine whether a24 is greater than or less than a25. Therefore, we cannot definitively say whether S1 or S2 will continue to be in ascending or descending order after the interchange.
Hence, the correct answer is option 'E', None of the above.
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Community Answer
There are 50 integersa1, a2,....,a50, not all of them neccessarily dif...
I think answer should be A
if i am wrong please lemme know..
if i am wrong please lemme know..
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There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect 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 There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect 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 There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect 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 There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect 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 There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 50 integersa1, a2,....,a50, not all of them neccessarily different. Let the greatest integer of these 50 integers be referred to asG, and the smallest integer be referred to asL. The integersa1througha24form sequenceS1, and the rest form sequenceS2. Each member ofS1is less than or equal to each member ofS2.Q.Elements ofS1are in ascending order, and those ofS2are in descending order.a24anda25are interchanged then which of the following statements is true ?a)S1continues to be in ascending orderb)S2continues to be in descending orderc)S1continues to be in ascending order and S2in descending orderd)S2continues to be in ascending ordere)None of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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