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: List what each statement is really asking.
X compares two growth rates (Managerial vs Technical registrations). Y checks whether the combined registration count crossed a 25% growth mark. These need two separate calculations.

Step 2: Work out Managerial growth as a multiplier.
2005 registrations divided by 2004 registrations for Managerial: $45{,}292/19{,}236 \approx 2.354$, which means Managerial registrations became about 2.35 times their old value, a rise of about 135%.

Step 3: Work out Technical growth as a multiplier.
For Technical: $63{,}298/61{,}205\approx 1.0342$, a rise of only about 3.4%. Since 135% is clearly bigger than 3.4%, X holds up.

Step 4: Add up totals for Y and compare against the 25% mark.
Add both categories for each year: 2004 gives $61{,}205+19{,}236=80{,}441$, 2005 gives $63{,}298+45{,}292=108{,}590$. A 25% rise on 80,441 would mean reaching $80{,}441\times 1.25=100{,}551.25$. The actual 2005 total, 108,590, is well past that mark, so the growth is more than 25% and Y is true.

Step 5: Final Answer.
Both claims survive the check, so the correct choice is that both X and Y are true.
\[ \boxed{\text{Both [X] and [Y] are True}} \]