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University Enrolment Trends

XAT 2022 · Quantitative Ability & Data Interpretation · Hard · Data Interpretation

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Passage / data set

The enrolment of students (in 1000s) at each of the five universities named — MPU, JSU, LTU, PKU and TRU — during each of the eight years from 2014 to 2021 is represented in the given chart (labeled Univ 1, Univ 2, Univ 3, Univ 4 and Univ 5).

Available information: W: The magnitudes of TRU's and MPU's net change in enrolment between 2014 and 2021 are the closest among any two universities. X: LTU had the same enrolment in consecutive years at least twice between 2014 and 2021. Y: The increase in JSU's enrolment from 2015 to 2019 is about 50%50\% of TRU's total enrolment in 2020. Z: The enrolment in one of LTU and PKU had a steady decline between 2014 and 2021, while the enrolment in the other had no decline between any two consecutive years in the same period.

Question 1 of 3

Which of the five universities can Univ 4 possibly be?

  1. A.

    Either TRU or MPU

  2. B.

    Either MPU or PKU

  3. C.

    Only PKU

  4. D.

    Only TRU

  5. E.

    Only MPU

Answer

D

Explanation

Analyzing the net changes and condition Y uniquely identifies Univ 4 as TRU.

Question 2 of 3

Which Univ's enrolment was around twice that of LTU in 2014?

  1. A.

    Only JSU's

  2. B.

    Only PKU's

  3. C.

    Either PKU's or TRU's

  4. D.

    Either JSU's or MPU's

  5. E.

    Only MPU's

Answer

B

Explanation

LTU is Univ 1 (enrolment 3.2 in 2014). Twice that is ~6.4, which matches Univ 5 (PKU) in 2014 (6.5).

Question 3 of 3

Which amongst the pieces of information mentioned below, if removed, will not prevent us from uniquely identifying the five universities?

  1. A.

    Either X or Y

  2. B.

    Y

  3. C.

    Z

  4. D.

    NONE, since all four pieces of information are necessary to uniquely identify the five universities.

  5. E.

    X

Answer

C

Explanation

W, X, and Y are sufficient to map all 5 universities uniquely, making Z redundant.

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