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Question

The following table shows the number of students who appeared in a Common Entrance Test (CET) from six different schools A-F during the years 2020-2022, and the ratio of number of passed (P) to the number of failed (F) students among them. Based on the data in the table, answer the questions:

School-wise Appearance of Students in CET during 2020-2022.

School

2020

2021

2022

Appeared

P ∶  F

Appeared

P  ∶  F

Appeared

P  ∶  F

A

1292

11 ∶ 8

1508

7 ∶ 6

1344

3 ∶  5

B

1694

4 ∶ 7

1690

8 ∶ 5

1904

9 ∶ 8

C

1620

8 ∶ 7

1584

7 ∶ 4

1274

4 ∶ 3

D

1752

7 ∶ 5

1656

11 ∶ 7

1976

7 ∶ 12

E

1740

3 ∶ 2

1452

7 ∶ 4

1430

8 ∶ 5

F

1972

17 ∶ 12

1734

12 ∶ 5

1848

8 ∶ 13

What is the difference between the number of students who passed in the test from School D in the year 2020 and the number of students who failed in the test from School B in the year 2022?

The correct answer is

126

Step 1: Number of students passed from School D in the year 2020

Total students appeared from School D in the year 2020 = $1752$

Ratio of passed and failed = $7 : 5$

Sum of ratios = $7 + 5 = 12$

Number of passed students = $\frac{7}{12} \times 1752$

Number of passed students = $7 \times 146 = 1022$

Step 2: Number of failed students from School B in the year 2022

Total students appeared from School B in the year 2022 = $1904$

Ratio of passed and failed = $9 : 8$

Sum of ratios = $9 + 8 = 17$

Number of failed students = $\frac{8}{17} \times 1904$

Number of failed students = $8 \times 112 = 896$

Step 3: Difference between both numbers

Difference = $1022 - 896 = 126$

Thus, the correct option is Option 3 (126).

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Important Questions from Tabulation

  1. What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?

  2. In which state, the number of patients who recovered from covid-19 steadily decreasing?

  3. What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?

  4. Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.

  5. In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?

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