Question

Use the same InfiniteJobs.com table as above.

Year	Category	Number of Registrations	Number of Candidates who posted their CVs	Number of Candidates short-listed by Employers	Number of offered jobs
2004	Technical	61,205	59,981	684	181
2004	Managerial	19,236	15,389	138	48
2005	Technical	63,298	60,133	637	115
2005	Managerial	45,292	40,763	399	84

Statement X: The percentage of drop-outs (from the Registration stage to posting CVs) had decreased from 2004 to 2005 for the Managerial category.
Statement Y: The percentage of drop-outs was higher for the Technical category than for the Managerial category in 2005.

• A. Only [X] is True
• B. Only [Y] is True
• C. Both [X] and [Y] are True
• D. Neither [X] nor [Y] is True

Hint:

Drop-outs = Registrations minus CVs posted; convert to a percentage of Registrations before comparing across categories or years.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept.
A "drop-out" here is someone who registered but never posted a CV, so drop-outs = Registrations minus CVs posted. We convert this to a percentage of Registrations to compare fairly across different-sized groups.

Step 2: Test Statement X, Managerial drop-out rate in 2004.
Drop-outs = \(19{,}236-15{,}389=3{,}847\).
\[ \%\text{ drop-outs} = \frac{3{,}847}{19{,}236}\times 100 \approx 20.0\% \]

Step 3: Test Statement X, Managerial drop-out rate in 2005.
Drop-outs = \(45{,}292-40{,}763=4{,}529\).
\[ \%\text{ drop-outs} = \frac{4{,}529}{45{,}292}\times 100 \approx 10.0\% \]
The rate fell from about 20% to about 10%, a clear decrease, so Statement X is True.

Step 4: Test Statement Y, comparing Technical and Managerial in 2005.
Technical drop-outs in 2005 = \(63{,}298-60{,}133=3{,}165\).
\[ \%\text{ drop-outs (Technical)} = \frac{3{,}165}{63{,}298}\times 100 \approx 5.0\% \]
Managerial's 2005 drop-out rate was already found to be about 10.0% in Step 3. Since \(5.0\%\) is less than \(10.0\%\), Technical's drop-out rate is actually lower, not higher, than Managerial's. So Statement Y is False.

Step 5: Final Answer.
X holds true, Y does not, so only X is true. \[ \boxed{\text{Only [X] is True}} \]