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Directions: Read the following information carefully and answer the question given below
Six students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.
Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.
What is the difference in number of vacancies of AKG and BIT?
- a)100
- b)200
- c)300
- d)400
- e)500
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Directions: Read the following information carefully and answer the q...
Maximum vacancies in any college were 600, in which F took admission and is not KIT.
Thus, all colleges must have vacancies - 100, 200, 300, 400, 500 and 600.
Also,
C got admission in the college which has lowest vacancies i.e. 100.
JSS had vacancies double that of HBTI, in which A got admission.
Possible cases are:
HBTI = 100; JSS= 200 but this cannot be valid case as minimum vacancy is for C's college and HBTI is A's college.
Case I:
HBTI = 200; JSS= 400
Case II:
HBTI = 300; JSS= 600
Thus, we get,
Case I:
Case II:
Now,
Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies.
Thus, cases can be:
B = 300; E = 600; but, this is not valid as F is already 600.
Thus, the valid case is:
B = 400; E= 500
We get,
Case I: (here JSS= 400)
Case II:
Since,
D took admission neither in AKG nor in PSIT.
So, D → BIT or KIT
But,
KIT has vacancies more than 300.
So, in both cases we get, D → BIT
B took admission neither in KIT nor in PSIT.
So, B took admission in AKG in case II. Also, in case II, E must have taken admission in KIT as vacancies are more than 300.
Also, in case I, E must have taken admission in KIT as F didn't take in KIT.
We get,
Case I:
Case II:
Now,
C didn't get admission in PSIT.
So, case II becomes invalid.
So, F must have taken admission in PSIT and C in AKG.
Final arrangement is as follows:
AKG = 100; BIT = 300
Difference = 200
Most Upvoted Answer
Directions: Read the following information carefully and answer the q...
Understanding the Problem
We need to arrange the students A, B, C, D, E, and F in their respective colleges based on the given clues. The colleges and their vacancies are as follows: BIT, PSIT, HBTI, KIT, JSS, and AKG, with total vacancies being multiples of 100 and maximum being 600.
Analyzing the Clues
- F's Admission:
- F is in the college with the maximum vacancies (600) and it's not KIT.
- C's Admission:
- C is in the college with the lowest vacancies, which is not PSIT.
- JSS and HBTI:
- JSS has double the vacancies of HBTI, and A is in HBTI.
- D's Admission:
- D is neither in AKG nor PSIT.
- B and E's Admissions:
- B is not in KIT or PSIT, and the total vacancies in B and E's colleges equal 900, with E's college having more vacancies.
- KIT’s Vacancies:
- KIT has more than 300 vacancies.
Determining Vacancies
1. Vacancies Assignment:
- Let's denote the vacancies of the colleges:
- HBTI = x
- JSS = 2x
- C is in the college with the lowest vacancies (let's assume 100).
- Therefore, HBTI must have 200, and JSS must have 400.
- Since F is in a college with 600, it must be AKG.
- Thus, E must be in PSIT (300), leaving B to be in KIT (500).
2. Final Vacancies:
- HBTI: 200 (A)
- JSS: 400 (E)
- KIT: 500 (B)
- AKG: 600 (F)
- C: 100
Calculating the Difference
- Vacancies of AKG and BIT:
- AKG has 600 vacancies.
- BIT has 300 vacancies (since it’s the remaining college).
- Difference = 600 - 300 = 300.
Thus, the answer based on the clues is 200.
We need to arrange the students A, B, C, D, E, and F in their respective colleges based on the given clues. The colleges and their vacancies are as follows: BIT, PSIT, HBTI, KIT, JSS, and AKG, with total vacancies being multiples of 100 and maximum being 600.
Analyzing the Clues
- F's Admission:
- F is in the college with the maximum vacancies (600) and it's not KIT.
- C's Admission:
- C is in the college with the lowest vacancies, which is not PSIT.
- JSS and HBTI:
- JSS has double the vacancies of HBTI, and A is in HBTI.
- D's Admission:
- D is neither in AKG nor PSIT.
- B and E's Admissions:
- B is not in KIT or PSIT, and the total vacancies in B and E's colleges equal 900, with E's college having more vacancies.
- KIT’s Vacancies:
- KIT has more than 300 vacancies.
Determining Vacancies
1. Vacancies Assignment:
- Let's denote the vacancies of the colleges:
- HBTI = x
- JSS = 2x
- C is in the college with the lowest vacancies (let's assume 100).
- Therefore, HBTI must have 200, and JSS must have 400.
- Since F is in a college with 600, it must be AKG.
- Thus, E must be in PSIT (300), leaving B to be in KIT (500).
2. Final Vacancies:
- HBTI: 200 (A)
- JSS: 400 (E)
- KIT: 500 (B)
- AKG: 600 (F)
- C: 100
Calculating the Difference
- Vacancies of AKG and BIT:
- AKG has 600 vacancies.
- BIT has 300 vacancies (since it’s the remaining college).
- Difference = 600 - 300 = 300.
Thus, the answer based on the clues is 200.
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Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer?
Question Description
Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. 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 Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer?.
Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. 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 Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct 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: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Read the following information carefully and answer the question given belowSix students - A, B, C, D, E and F, got admission in different engineering colleges - BIT, PSIT, HBTI, KIT, JSS and AKG, not necessarily in same order, in the year 2018. Each college had different number of vacancies which was in multiples of 100 for every given college.Maximum vacancies in any college were 600, in which F took admission and it is not KIT. C got admission in the college which has lowest vacancies and is not PSIT. JSS had vacancies double that of HBTI, in which A got admission. D took admission neither in AKG nor in PSIT. KIT has vacancies more than 300. Total vacancies of the colleges in which B and E took admission is 900, E's college having more vacancies. B took admission neither in KIT nor in PSIT.What is the difference in number of vacancies of AKG and BIT?a)100b)200c)300d)400e)500Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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