Institutes and Vendors

CAT 2020 Slot 1 · DILR · Hard · Data Interpretation

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Passage / data set

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or single-year contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts: I. Vendor Z had at least one contract in every year. II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that. III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012. IV. There were five contracts in 2012. V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts. VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011. VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

Question 1 of 6

In which of the following years were there two or more contracts?

  1. A.

    2017

  2. B.

    2018

  3. C.

    2016

  4. D.

    2015

Answer

D

Explanation

By analyzing the timeline of contracts from 2010 to 2019: Vendor X operated from 2010 to 2015. Vendor Z operated continuously from 2010 to 2019. In 2015, Vendor X had a contract and Vendor Z also had a contract, giving at least two contracts in 2015.

Question 2 of 6

Which of the following is true?

  1. A.

    B had a contract with Y in 2019

  2. B.

    D had a contract with X in 2011

  3. C.

    B had a contract with Z in 2017

  4. D.

    D had a contract with Y in 2019

Answer

D

Explanation

Detailed deduction shows Institute D had a contract with Vendor Y ending in 2019.

Question 3 of 6

In how many years during this period was there only one contract?

  1. A.

    3

  2. B.

    4

  3. C.

    2

  4. D.

    5

Answer

A

Explanation

By placing all 8 contracts (4 multi-year, 4 single-year) across the 10 years, there were exactly 3 years with only one active contract (specifically 2016, 2017, and 2018).

Question 4 of 6

What BEST can be concluded about the number of contracts in 2010?

  1. A.

    Exactly 3

  2. B.

    at least 3

  3. C.

    at least 4

  4. D.

    exactly 4

Answer

A

Explanation

In 2010, vendor Y, vendor X, and vendor Z were active, yielding exactly 3 contracts.

Question 5 of 6

Which institutes had multiple contracts during the same year?

  1. A.

    B and C only

  2. B.

    A only

  3. C.

    B only

  4. D.

    A and B only

Answer

D

Explanation

Analysis of contract overlaps shows that institutes A and B were the only ones that held multiple contracts concurrently in at least one year.

Question 6 of 6

Which institutes and vendors had more than one contracts in any year?

  1. A.

    B, W, X, and Z

  2. B.

    B, D, W, and X

  3. C.

    A, B, W, and X

  4. D.

    A, D, W, and Z

Answer

C

Explanation

Institutes A and B, and vendors W and X were involved in multiple contracts concurrently in specific years.

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