XYZ, a large philanthropic organization, has the following policy regarding requests for XYZ funds. Any organization that has submitted a request for funds to XYZ must receive a response no later than 4 months after receipt of the request by XYZ. The response must take the form of a granting of the request, a rejecting of the request, or a solicitation for further information. Such further information, when solicited, must be received by XYZ no later than 5 months after receipt of the solicitation by the organization; otherwise the request for funds will be rejected. Once such further information has been received by XYZ, XYZ will reconsider the request as if it were a new submission, beginning with Step 1 above.

XYZ, a large philanthropic organization, has the following policy regarding requests for XYZ funds. Any organization that has submitted a...

GMAT Two Part Analysis : (TPA) Questions

Source: Mock

Two Part Analysis

Quant - Advanced

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XYZ, a large philanthropic organization, has the following policy regarding requests for XYZ funds.

Any organization that has submitted a request for funds to XYZ must receive a response no later than 4 months after receipt of the request by XYZ.
The response must take the form of a granting of the request, a rejecting of the request, or a solicitation for further information.
Such further information, when solicited, must be received by XYZ no later than 5 months after receipt of the solicitation by the organization; otherwise the request for funds will be rejected.
Once such further information has been received by XYZ, XYZ will reconsider the request as if it were a new submission, beginning with Step 1 above.

For a request for funds that has been granted in accord with this policy, select the maximum amount of time between receipt of the initial request by XYZ and the granting of the request, given that no solicitation for further information was made by XYZ, and select the maximum amount of time, given that exactly one solicitation for further information was made by XYZ. Make only two selections, one in each column.

No solicitations for further information

One solicitations for further information

4 months

6 months

8 months

11 months

13 months

15 months

Solution

Phase 1: Owning the Dataset

Visualization Selection

This is a time-based process problem, so we'll use a timeline to track the maximum durations at each step.

Timeline Visualization

Scenario 1: No Solicitation

Time 0 ----[XYZ receives request]----[4 months max]----[Grant/Reject]

Scenario 2: One Solicitation

Time 0 ----[Initial request]----[4 months max]----[Solicitation sent]
                                                         |
                                                         v
                                             [Organization has 5 months max]
                                                         |
                                                         v
                                               [Info received by XYZ]
                                                         |
                                                         v
                                        [Process restarts - 4 months max]
                                                         |
                                                         v
                                                   [Grant/Reject]

Phase 2: Understanding the Question

Breaking Down the Policy

Let's clarify the key rules:

XYZ must respond within 4 months of receiving any request
Response options: grant, reject, or solicit more info
If info is solicited, organization has 5 months to submit it
Once info is received, the process restarts as a new submission

What We're Looking For

Column 1: Maximum time with NO solicitation
Column 2: Maximum time with EXACTLY ONE solicitation

Phase 3: Finding the Answer

Scenario 1: No Solicitation

If no solicitation is made, XYZ must respond with either a grant or rejection within 4 months.

Maximum time from initial request to grant = 4 months

Scenario 2: One Solicitation

Let's trace the maximum timeline:

Initial request to solicitation: XYZ takes the maximum 4 months to respond with a solicitation
Organization response time: Organization takes the maximum 5 months to submit additional info
Final XYZ response: After receiving the info, XYZ treats it as a new submission and takes the maximum 4 months to grant

Total maximum time = \(4 + 5 + 4 = 13\) months

Phase 4: Solution

Our answers are:

No solicitations for further information: 4 months
One solicitation for further information: 13 months

These represent the maximum possible times from initial request to grant under each scenario, assuming all parties use the full time allowed at each step

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