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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.
Which college had maximum vacancies?
  • a)
    KIT
  • b)
    PSIT
  • c)
    AKG
  • d)
    JSS
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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:
PSIT had maximum vacancies i.e. 600.
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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.Which college had maximum vacancies?a)KITb)PSITc)AKGd)JSSe)None of theseCorrect answer is option 'B'. Can you explain this answer?
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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.Which college had maximum vacancies?a)KITb)PSITc)AKGd)JSSe)None of theseCorrect 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.Which college had maximum vacancies?a)KITb)PSITc)AKGd)JSSe)None of theseCorrect 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.Which college had maximum vacancies?a)KITb)PSITc)AKGd)JSSe)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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