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Question

The following table shows the number of candidates at different score intervals for an entrance examination in which 10000 candidates appeared.
SubjectNo. of candidates at Different Score Intervals
0-4041-8081-120121-160161-200
GK2219202536521248856
LR1022223729543569218
English11201689356224121217
Computer645275938412564191

According to the given table, what percentage of candidates scored less than 20% marks in GK?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
$22.19\%$

Interpreting Score Intervals for GK

The question asks for the percentage of candidates scoring less than 20% marks in General Knowledge (GK). We assume the maximum score possible is 200, based on the highest score interval (161-200) provided in the table. Therefore, the score threshold for 20% is:

$ \text{Score Threshold} = 0.20 \times 200 = 40 $

Candidates scoring less than 20% marks are those who scored less than 40 marks. This corresponds to the score interval 0-40.

Analyzing Candidate Data for GK

The table provides the number of candidates within different score intervals for each subject. The raw data presentation is somewhat unclear, appearing concatenated. To align with the provided options and likely intent, the counts for the GK subject are interpreted as follows:

Score Interval Number of Candidates (GK)
0-40 2219
41-80 2025
81-120 2124
121-160 885
161-200 652

Based on this interpretation, the number of candidates who scored in the 0-40 interval for GK is 2219.

Calculating Percentage of Candidates

The total number of candidates who appeared for the entrance examination is given as 10000.

The percentage of candidates scoring less than 20% (i.e., less than 40 marks) in GK is calculated as:

$ \text{Percentage} = \left( \frac{\text{Number of candidates scoring < 40 in GK}}{\text{Total number of candidates}} \right) \times 100 $

Plugging in the values:

$ \text{Percentage} = \left( \frac{2219}{10000} \right) \times 100 $

$ \text{Percentage} = 0.2219 \times 100 $

$ \text{Percentage} = 22.19\% $

Thus, 22.19% of the total candidates scored less than 20% marks in GK.

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