Question

The following table gives data collected for an online job portal, InfiniteJobs.com. For each question in this set, there are two statements, X and Y, each of which could be True or False. Choose the option that correctly describes both statements.

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 increase in the number of Registrations from 2004 to 2005 is higher for Managerial candidates than for Technical candidates.
Statement Y: The overall Registrations have grown by more than 25%.

• 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:

Work out percentage change separately for Managerial and Technical registrations, then compare the combined 2004 and 2005 totals against a 25% benchmark.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept.
We need to check two separate claims using the percentage change formula, \(\%\text{ change} = \frac{\text{new}-\text{old}}{\text{old}}\times 100\).

Step 2: Test Statement X, Managerial registrations.
Managerial registrations went from 19,236 in 2004 to 45,292 in 2005.
\[ \%\text{ increase} = \frac{45{,}292-19{,}236}{19{,}236}\times 100 = \frac{26{,}056}{19{,}236}\times 100 \approx 135.45\% \]

Step 3: Test Statement X, Technical registrations.
Technical registrations went from 61,205 in 2004 to 63,298 in 2005.
\[ \%\text{ increase} = \frac{63{,}298-61{,}205}{61{,}205}\times 100 = \frac{2{,}093}{61{,}205}\times 100 \approx 3.42\% \]
Since \(135.45\%\) is far bigger than \(3.42\%\), Managerial's percentage increase is indeed higher, so Statement X is True.

Step 4: Test Statement Y, overall registrations.
Total registrations in 2004: \(61{,}205+19{,}236=80{,}441\). Total registrations in 2005: \(63{,}298+45{,}292=108{,}590\).
\[ \%\text{ increase} = \frac{108{,}590-80{,}441}{80{,}441}\times 100 = \frac{28{,}149}{80{,}441}\times 100 \approx 35.0\% \]
Since \(35\%\) is greater than \(25\%\), Statement Y is True as well.

Step 5: Final Answer.
Both X and Y check out as true statements, so both together are correct. \[ \boxed{\text{Both [X] and [Y] are True}} \]