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: Reframe drop-outs as a "conversion rate" instead.
Rather than working with the drop-out percentage directly, it helps to work with the opposite quantity, the CV-posting rate (CVs posted divided by Registrations), since a higher conversion rate means a lower drop-out rate, and vice versa.

Step 2: Find the Managerial conversion rate for both years.
2004: $15{,}389/19{,}236 \approx 0.800$, so about 80% converted (20% dropped out). 2005: $40{,}763/45{,}292 \approx 0.900$, so about 90% converted (10% dropped out). Conversion rose from 80% to 90%, which means the drop-out rate fell from 20% to 10%. This confirms Statement X is true.

Step 3: Find the Technical conversion rate for 2005.
$60{,}133/63{,}298 \approx 0.950$, so about 95% of Technical registrants converted to CV-posters in 2005, meaning only about 5% dropped out.

Step 4: Compare the two 2005 drop-out rates.
Technical's drop-out rate (about 5%) is lower than Managerial's (about 10%) in 2005. Statement Y claims Technical's rate was higher, which is the opposite of what the numbers show, so Statement Y is false.

Step 5: Final Answer.
Only Statement X turns out to be correct.
\[ \boxed{\text{Only [X] is True}} \]