First Street: every Thursday Second Street: every fourth Tuesday Third Street: every Monday Central Street: every third Wednesday Grand Street:...

GMAT Two Part Analysis : (TPA) Questions

Source: Mock

Two Part Analysis

Verbal - Conditions

HARD

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Notes

Post a Query

First Street: every Thursday
Second Street: every fourth Tuesday
Third Street: every Monday
Central Street: every third Wednesday
Grand Street: every fourth Saturday
Main Street: every second Friday

Select for X and for Y two streets such that every cleaning of the street chosen for X must be followed on the next day by a cleaning of the street chosen for Y, consistent with the given information. Make only two selections, one in each column.

First Street

Second Street

Third Street

Central Street

Grand Street

Main Street

Solution

OWNING THE DATASET

Visual Representation of Cleaning Schedule

Street	Cleaning Day	Frequency
First Street	Thursday	Every week (weekly)
Second Street	Tuesday	Every 4th week
Third Street	Monday	Every week (weekly)
Central Street	Wednesday	Every 3rd week
Grand Street	Saturday	Every 4th week
Main Street	Friday	Every 2nd week

Immediate Inferences

Streets cleaned weekly (First, Third) will be cleaned more frequently than others
No street is cleaned on Sunday
For \(\mathrm{X} \rightarrow \mathrm{Y}\) to work, Y must be cleaned on the day after X's cleaning day

SEEKING THE CRITICAL INSIGHT

Key Pattern: For "every cleaning of X to be followed by cleaning of Y":

Y must occur on the day immediately after X
Y's frequency must be equal to or more frequent than X's frequency
If X occurs every nth period, Y must occur at least every nth period on the following day

UNDERSTANDING THE QUESTION

Task Analysis

Must find exactly one street for X and one for Y
Constraint: EVERY cleaning of X must be followed by cleaning of Y the next day
This is a strict requirement - no exceptions allowed

PROCESSING THE SOLUTION

Identify Valid Day Sequences

Possible day transitions:

\(\mathrm{Monday} \rightarrow \mathrm{Tuesday}\)
\(\mathrm{Tuesday} \rightarrow \mathrm{Wednesday}\)
\(\mathrm{Wednesday} \rightarrow \mathrm{Thursday}\)
\(\mathrm{Thursday} \rightarrow \mathrm{Friday}\)
\(\mathrm{Friday} \rightarrow \mathrm{Saturday}\)
\(\mathrm{Saturday} \rightarrow \mathrm{Sunday}\) (impossible - no Sunday cleaning)

Systematic Analysis

\(\mathrm{Wednesday} \rightarrow \mathrm{Thursday}\)

Central Street (every 3rd Wednesday) \(\rightarrow\) First Street (every Thursday)

Central Street cleaned on weeks: 3, 6, 9, 12...
First Street cleaned on weeks: 1, 2, 3, 4, 5, 6, 7, 8, 9...
Since First Street is cleaned EVERY Thursday, it covers all Thursdays following Central Street's Wednesdays
This works! ✓

\(\mathrm{Thursday} \rightarrow \mathrm{Friday}\)

First Street (every Thursday) \(\rightarrow\) Main Street (every 2nd Friday)

First Street cleaned on weeks: 1, 2, 3, 4...
Main Street cleaned on weeks: 2, 4, 6, 8...
Week 1: First Street cleaned Thursday, but NO Main Street Friday
Not every First Street cleaning is followed by Main Street
This fails ✗

Other Combinations

\(\mathrm{Monday} \rightarrow \mathrm{Tuesday}\): Third Street (weekly) \(\rightarrow\) Second Street (every 4th) - frequencies don't align ✗
\(\mathrm{Tuesday} \rightarrow \mathrm{Wednesday}\): Second Street (every 4th) \(\rightarrow\) Central Street (every 3rd) - frequencies don't align ✗
\(\mathrm{Friday} \rightarrow \mathrm{Saturday}\): Main Street (every 2nd) \(\rightarrow\) Grand Street (every 4th) - frequencies don't align ✗

FINAL SOLUTION SYNTHESIS

Solution Path Recap

Identified that Y must occur the day after X with compatible frequency
Recognized that Y's frequency must be at least as frequent as X's
Found that Central Street \(\rightarrow\) First Street satisfies all conditions
Verified no other combination works

Final Answer

X = Central Street
Y = First Street

Key Insight

The solution leverages frequency compatibility: a weekly cleaning (First Street) encompasses all instances of a less frequent cleaning (Central Street), ensuring the "every" condition is satisfied.

Exam Strategy

When solving TPA scheduling problems:

First identify compatible day sequences
Then check frequency alignment
Remember that "every" means no exceptions - the following event must occur at least as frequently as the preceding one

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