in Logical Reasoning edited by
192 views
0 votes
0 votes

Four institutes, $\text{A, B, C,}$ and $\text{D}$, had contracts with four vendors $\text{W, X, Y,}$ and $\text{Z}$ 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.

  1. Vendor $\text{Z}$ had at least one contract in every year.
  2. Vendor $\text{X}$ had one or more contracts in every year up to $2015$, but no contract in any year after that.
  3. Vendor $\text{Y}$ had contracts in $2010$ and $2019$. Vendor $\text{W}$ had contracts only in $2012$.
  4. There were five contracts in $2012$.
  5. There were exactly four multi-year contracts. Institute $\text{B}$ had a $7$-year contract, $\text{D}$ had a $4$-year contract, and $\text{A}$ and $\text{C}$ had one $3-$year contract each. The other four contracts were single$-$year contracts.
  6. Institute $\text{C}$ had one or more contracts in $2012$ but did not have any contract in $2011$.
  7. Institutes $\text{B}$ and $\text{D}$ each had exactly one contract in $2012$. Institute $\text{D}$ did not have any contract in $2010$.

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

  1. $\text{A, D, W,}$ and $\text{Z}$
  2. $\text{B, W, X,}$ and $\text{Z}$
  3. $\text{B, D, W,}$ and $\text{X}$
  4. $\text{A, B, W,}$ and $\text{X}$
in Logical Reasoning edited by
2.7k points
192 views

Please log in or register to answer this question.

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true