Question

The table below gives data collected for an online job portal, InfiniteJobs.com, for the Technical and Managerial candidate categories in 2004 and 2005.

Year	Category	Registrations	CVs Posted	Shortlisted by Employers	Offered Jobs
2004	Technical	61,205	59,981	684	181
	Managerial	19,236	15,389	138	48
2005	Technical	63,298	60,133	637	115
	Managerial	45,292	40,763	399	84

Statement X: In 2004, the number of candidates offered jobs as a proportion of the number of CV's posted was higher for Technical than for Managerial candidates.

Statement Y: In 2004, among those short-listed by Employers, the Technical category had a higher success rate in securing jobs than the Managerial category.

• 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:

Turn each statement into a ratio (offers over CV's, and offers over shortlisted) for both categories in 2004, then compare the two ratios directly instead of assuming which one should be bigger.

Answer 1

The Correct Option is D

Step 1: Check Statement X.
Statement X compares offered jobs as a share of CV's posted, in 2004, between the two categories.
For Technical: \( \frac{181}{59981} \times 100 \approx 0.30\% \).
For Managerial: \( \frac{48}{15389} \times 100 \approx 0.31\% \).

Step 2: Decide Statement X.
The Managerial share, about 0.31%, is a shade higher than the Technical share, about 0.30%, so Technical is not higher here.
Statement X is false.

Step 3: Check Statement Y.
Statement Y compares how well each category converts a shortlist into an actual job offer, in 2004.
For Technical: \( \frac{181}{684} \times 100 \approx 26.46\% \).
For Managerial: \( \frac{48}{138} \times 100 \approx 34.78\% \).

Step 4: Decide Statement Y.
Managerial candidates turned about 34.78% of their shortlists into offers, well above the Technical figure of about 26.46%.
So the claim that Technical had the higher success rate is also false.

Final Answer:
Managerial candidates beat Technical candidates on both the offer to CV ratio and the offer to shortlist ratio in 2004, so both statements are wrong. \[ \boxed{\text{Neither X nor Y is True}} \]