Comprehension
Number of Boys and Girls (in hundreds) in six different years in 5 different schools data is given below:
School →

A

B

C

D

E

Years ↓BoysGirlsBoysGirlsBoysGirlsBoysGirlsBoysGirls
20143.33.65.23.15.54.52.41.46.56.6
20156.64.24.92.26.93.34.42.35.53.6
20169.36.94.74.25.84.96.43.32.72.4
20175.49.66.35.46.65.25.35.45.45.7
20188.412.97.55.98.76.612.15.26.86.5
201912.314.49.84.411.74.212.29.410.812.7
Question: 1

What is the approximate percentage decrease in the number of boys in school D in the year 2017 as compared to the previous year?

Updated On: Dec 23, 2025
  • 17%
  • 12%
  • 9%
  • 5%
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

To find the approximate percentage decrease in the number of boys in School D in 2017 compared to the previous year (2016), we need to follow these steps:

  1. Identify the number of boys in School D for the years 2016 and 2017 from the given data.
  2. The number of boys in School D in 2016 is \(6.4 \times 100 = 640\) and in 2017 it is \(5.3 \times 100 = 530\).
  3. Calculate the decrease in the number of boys from 2016 to 2017:

\(\text{Decrease} = 640 - 530 = 110\) 

  1. Calculate the percentage decrease using the formula:

\(\text{Percentage Decrease} = \left(\frac{\text{Decrease}}{\text{Original Number}}\right) \times 100 = \left(\frac{110}{640}\right) \times 100\)

\(\approx 17.19\%\)

Thus, the approximate percentage decrease in the number of boys in School D in 2017 compared to 2016 is 17%, which makes the correct answer 17%.

Was this answer helpful?
0
0
Question: 2

The number of girls in school B in the year 2018 is approximately what percent of the total number of students in school E in the year 2015?

Updated On: Dec 23, 2025
  • 46%
  • 52%
  • 58%
  • 65%
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

  1. First, identify the number of girls in School B for the year 2018. According to the given data, School B in 2018 has \(5.9 \text{ hundred girls }\), which is \(590\) girls. 
  2. Next, find the total number of students in School E for the year 2015. According to the data:
    • Boys in 2015: \(5.5 \text{ hundred } = 550\)
    • Girls in 2015: \(3.6 \text{ hundred } = 360\)
    • Total students in School E in 2015: \(550 + 360 = 910\)
  3. To find what percentage the number of girls in School B in 2018 is of the total number of students in School E in 2015, use the percentage formula:
    • Formula: \(\left( \frac{\text{Number of Girls in School B (2018)}}{\text{Total Students in School E (2015)}} \right) \times 100\)
    • Substitute the values: \(\left( \frac{590}{910} \right) \times 100\)
    • Calculation:
      • \(\frac{590}{910} \approx 0.64835\)
      • \(0.64835 \times 100 \approx 64.835\)
    • Therefore, the number of girls in School B in 2018 is approximately \(65\%\)of the total number of students in School E in 2015.
  4. Compare the calculated percentage with the given options:
    • 46%
    • 52%
    • 58%
    • 65%
  5. The correct answer is indeed 65% as calculated.
Was this answer helpful?
0
0
Question: 3

What is the average number of girls in school A in all years taken together?

Updated On: Dec 23, 2025
  • 760
  • 800
  • 860
  • 600
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

The question is about finding the average number of girls in School A from the given data over multiple years. Let's solve this step-by-step:

Identify the number of girls in School A for each year from the table provided: 

  • 2014: 3.6 (in hundreds, hence, 360 girls)
  • 2015: 4.2 (in hundreds, hence, 420 girls)
  • 2016: 6.9 (in hundreds, hence, 690 girls)
  • 2017: 9.6 (in hundreds, hence, 960 girls)
  • 2018: 12.9 (in hundreds, hence, 1290 girls)
  • 2019: 14.4 (in hundreds, hence, 1440 girls)

Calculate the total number of girls in School A over all the years:

\(360 + 420 + 690 + 960 + 1290 + 1440 = 5160\) girls

Determine the number of years considered:

There are 6 years (2014 to 2019).

Compute the average number of girls over these years:

\(\text{Average} = \frac{5160}{6} = 860\)

Thus, the average number of girls in School A over the considered years is 860.

Was this answer helpful?
0
0

Top Questions on Tabulation