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Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.
To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?
I. Total journey was of 250 km.
II. He covered less than half of the journey at the speed of 40 kmph.
III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.
- a)Only statements I and II
- b)Only statements I and III
- c)Only statements II and III
- d)All three statements together
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: In the following problem, a question is followed by statem...
Statement II is not useful as it gives only an estimation.
Using statements I and III:
Distance travelled at the speed of 40 kmph = 100 km
Distance travelled at the speed of 50 kmph = 150 km
Total time taken = 
= 2.5 + 3 = 5.5 hours
= 2.5 + 3 = 5.5 hoursWhy Incorrect?
Solution: This is an incorrect answer.
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Community Answer
Directions: In the following problem, a question is followed by statem...
Statement I: Total journey was of 250 km.
Statement II: He covered less than half of the journey at the speed of 40 kmph.
Statement III: He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.
To find the total time taken for the journey, we need to determine the time taken for each part of the journey and then add them together.
Let's analyze each statement:
Statement I: Total journey was of 250 km.
This statement gives us the total distance of the journey, but it does not provide any information about the speeds at which the man traveled. Therefore, this statement alone is not sufficient to answer the question.
Statement II: He covered less than half of the journey at the speed of 40 kmph.
This statement tells us that the man traveled less than half of the journey at the speed of 40 kmph. However, it does not provide any information about the total distance or the time taken for the journey. Therefore, this statement alone is not sufficient to answer the question.
Statement III: He traveled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.
This statement provides information about the difference in distances traveled at different speeds. However, it does not provide any information about the total distance or the time taken for the journey. Therefore, this statement alone is not sufficient to answer the question.
Combining Statements I and III:
From statement I, we know that the total distance of the journey is 250 km. From statement III, we know that the man traveled 50 km more at the speed of 50 kmph than at the speed of 40 kmph. Let's assume the distance traveled at the speed of 40 kmph is x km. Then, the distance traveled at the speed of 50 kmph is x + 50 km. Since the total distance is 250 km, we can write the equation x + (x + 50) = 250. Solving this equation, we find that x = 100 km. Therefore, the man traveled 100 km at the speed of 40 kmph and 150 km at the speed of 50 kmph.
Combining Statements I, II, and III:
From statement I, we know that the total distance of the journey is 250 km. From statement II, we know that the man covered less than half of the journey at the speed of 40 kmph. Let's assume the distance traveled at the speed of 40 kmph is x km. Since the total distance is 250 km, we can write the inequality x < 125.="" from="" statement="" iii,="" we="" know="" that="" the="" man="" traveled="" 50="" km="" more="" at="" the="" speed="" of="" 50="" kmph="" than="" at="" the="" speed="" of="" 40="" kmph.="" let's="" assume="" the="" distance="" traveled="" at="" the="" speed="" of="" 50="" kmph="" is="" y="" km.="" then,="" we="" have="" the="" inequality="" y="" /> x + 50. Combining these inequalities, we have x < 125="" and="" y="" /> x + 50. By solving these inequalities, we find that x can take any value less than 125 and y can take any value greater than x + 50. Therefore, the total time taken for the journey cannot be determined.
Therefore, the answer is option B: Only statements I and III are necessary to answer the question.
Statement II: He covered less than half of the journey at the speed of 40 kmph.
Statement III: He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.
To find the total time taken for the journey, we need to determine the time taken for each part of the journey and then add them together.
Let's analyze each statement:
Statement I: Total journey was of 250 km.
This statement gives us the total distance of the journey, but it does not provide any information about the speeds at which the man traveled. Therefore, this statement alone is not sufficient to answer the question.
Statement II: He covered less than half of the journey at the speed of 40 kmph.
This statement tells us that the man traveled less than half of the journey at the speed of 40 kmph. However, it does not provide any information about the total distance or the time taken for the journey. Therefore, this statement alone is not sufficient to answer the question.
Statement III: He traveled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.
This statement provides information about the difference in distances traveled at different speeds. However, it does not provide any information about the total distance or the time taken for the journey. Therefore, this statement alone is not sufficient to answer the question.
Combining Statements I and III:
From statement I, we know that the total distance of the journey is 250 km. From statement III, we know that the man traveled 50 km more at the speed of 50 kmph than at the speed of 40 kmph. Let's assume the distance traveled at the speed of 40 kmph is x km. Then, the distance traveled at the speed of 50 kmph is x + 50 km. Since the total distance is 250 km, we can write the equation x + (x + 50) = 250. Solving this equation, we find that x = 100 km. Therefore, the man traveled 100 km at the speed of 40 kmph and 150 km at the speed of 50 kmph.
Combining Statements I, II, and III:
From statement I, we know that the total distance of the journey is 250 km. From statement II, we know that the man covered less than half of the journey at the speed of 40 kmph. Let's assume the distance traveled at the speed of 40 kmph is x km. Since the total distance is 250 km, we can write the inequality x < 125.="" from="" statement="" iii,="" we="" know="" that="" the="" man="" traveled="" 50="" km="" more="" at="" the="" speed="" of="" 50="" kmph="" than="" at="" the="" speed="" of="" 40="" kmph.="" let's="" assume="" the="" distance="" traveled="" at="" the="" speed="" of="" 50="" kmph="" is="" y="" km.="" then,="" we="" have="" the="" inequality="" y="" /> x + 50. Combining these inequalities, we have x < 125="" and="" y="" /> x + 50. By solving these inequalities, we find that x can take any value less than 125 and y can take any value greater than x + 50. Therefore, the total time taken for the journey cannot be determined.
Therefore, the answer is option B: Only statements I and III are necessary to answer the question.
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Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer?
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Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer?.
Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. 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 Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.To cover some distance, a man travelled at 40 kmph for some time and then at 50 kmph. For how much time did he travel in total?I. Total journey was of 250 km.II. He covered less than half of the journey at the speed of 40 kmph.III. He travelled 50 km more at the speed of 50 kmph than at the speed of 40 kmph.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)All three statements togetherCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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