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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.
S is to the north of P and T is to the east of S. What is the exact distance between P and T?
I. Distance between S and T is double the distance between S and P.
II. Distance between S and T is 4 cm.
- a)Only I
- b)Only II
- c)Both I and II
- d)Either I or II
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Directions: This problem consists of a question followed by two state...
From I alone, we can use Pythagoras theorem to find the answer, however, as no distance is mentioned, therefore I alone isn't sufficient.
From II alone, we can't figure out the distance between P and T as distance between S and P isn't given.
From I and II together, we can easily find the required distance.
Distance =
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Community Answer
Directions: This problem consists of a question followed by two state...
Understanding the Problem
The question asks for the exact distance between points P and T based on their relative positions: S is north of P and T is east of S.
Analyzing the Statements
1. Statement I: Distance between S and T is double the distance between S and P.
- Let the distance between S and P be represented as "d."
- Therefore, the distance between S and T will be "2d."
- Using the Pythagorean theorem in the triangle formed (P-S-T), we can express the distance PT as:
PT = √(d^2 + (2d)^2) = √(d^2 + 4d^2) = √(5d^2) = d√5.
- This statement allows us to express the distance PT in terms of d, but we still need the value of d to find the exact distance.
2. Statement II: Distance between S and T is 4 cm.
- Here, we know the distance ST = 4 cm.
- Using Statement I again, we can find:
- From I, if ST = 4 cm, then S to P (d) = 4 cm / 2 = 2 cm.
- Now we can calculate PT using the Pythagorean theorem:
PT = √(2^2 + 4^2) = √(4 + 16) = √20 = 2√5 cm.
Conclusion
- Both statements provide sufficient information:
- Statement I gives a relationship between the distances.
- Statement II gives a concrete value for the distance ST.
Thus, the answer is that both statements I and II are sufficient to determine the exact distance between P and T, making the correct choice option C.
The question asks for the exact distance between points P and T based on their relative positions: S is north of P and T is east of S.
Analyzing the Statements
1. Statement I: Distance between S and T is double the distance between S and P.
- Let the distance between S and P be represented as "d."
- Therefore, the distance between S and T will be "2d."
- Using the Pythagorean theorem in the triangle formed (P-S-T), we can express the distance PT as:
PT = √(d^2 + (2d)^2) = √(d^2 + 4d^2) = √(5d^2) = d√5.
- This statement allows us to express the distance PT in terms of d, but we still need the value of d to find the exact distance.
2. Statement II: Distance between S and T is 4 cm.
- Here, we know the distance ST = 4 cm.
- Using Statement I again, we can find:
- From I, if ST = 4 cm, then S to P (d) = 4 cm / 2 = 2 cm.
- Now we can calculate PT using the Pythagorean theorem:
PT = √(2^2 + 4^2) = √(4 + 16) = √20 = 2√5 cm.
Conclusion
- Both statements provide sufficient information:
- Statement I gives a relationship between the distances.
- Statement II gives a concrete value for the distance ST.
Thus, the answer is that both statements I and II are sufficient to determine the exact distance between P and T, making the correct choice option C.
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer?
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Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer?.
Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: This problem consists of a question followed by two statements numbered I and II given below it. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question.S is to the north of P and T is to the east of S. What is the exact distance between P and T?I. Distance between S and T is double the distance between S and P.II. Distance between S and T is 4 cm.a)Only Ib)Only IIc)Both I and IId)Either I or IICorrect answer is option 'C'. Can you explain this answer?.
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