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UPSC NDA I and II 2020 Math Solved Paper

Question Numbers: 76-78

Directions: for the following three (03) items:

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

Marks	Number of students
Marks	Physics	Mathematics
10 – 20	8	10
20 – 30	11	21
30 – 40	30	38
40 – 50	26	15
50 – 60	15	10
60 - 70	10	6

Question : 76 of 120

Marks: +1, -0

The difference between number of students under Physics and Mathematics is largest for the interval

$20 - 30$
$30 - 40$
$40 - 50$
$50 - 60$

Validate

Solution:

Concept:

The difference is the absolute value obtained by subtracting the number of Mathematics students from the number of Physics students in each class interval. We then find the interval with the largest difference.

Explanation:

Calculate the difference for each given interval:

10-20

10 - 8 = 2

20-30

21 - 11 = 10

30-40

38 - 30 = 8

40-50

26 - 15 = 11

50-60

15 - 10 = 5

60-70

10 - 6 = 4

Among these,

11

(for

40-50

) is the greatest. Therefore, the difference is largest for the interval

40-50

Answer:

40-50

(Option C)

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