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UPSC CDS 1 2020 Math Paper

Question Numbers: 38-40

Directions:

Read the following information and answer the three questions that follow:

The following data presents a count of released convicts who have served prison terms (X), those who have received some educational or technical training during their term (Y), and those who were offered company placement (Z) respectively, from six different jails A, B, C, D, E, and F, in the year 2010

	X	Y	Z
A	86	45	25
B	1305	903	461
C	2019	940	474
D	1166	869	416
E	954	544	254
F	1198	464	174

Question : 38 of 100

Marks: +1, -0

Jails with highest and smallest percentage of trained convicts are respectively:

F and D
D and F
C and A
D and A

Validate

Solution:

Concept:

The percentage of trained convicts in each jail is calculated as

\frac{\text{Number in Y}}{\text{Total (X+Y+Z)}} \times 100

Explanation:

From the table, for each jail A to F, compute the percentage of convicts in column Y (trained convicts).

Jail A:

\frac{45}{86+45+25} \times 100 = \frac{45}{156} \times 100 \approx 28.8\%

Jail B:

\frac{903}{1305+903+461} \times 100 = \frac{903}{2669} \times 100 \approx 33.8\%

Jail C:

\frac{940}{2019+940+474} \times 100 = \frac{940}{3433} \times 100 \approx 27.3\%

Jail D:

\frac{869}{1166+869+416} \times 100 = \frac{869}{2451} \times 100 \approx 35.4\%

Jail E:

\frac{544}{954+544+254} \times 100 = \frac{544}{1752} \times 100 \approx 31.1\%

Jail F:

\frac{464}{1198+464+174} \times 100 = \frac{464}{1836} \times 100 \approx 25.2\%

Thus, jail D has the highest percentage (

35.4\%

) and jail F has the smallest (

25.2\%

Answer:

The jails with the highest and smallest percentage of trained convicts are D and F respectively, which corresponds to option B.

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