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School Enrolment Data Analysis

CMAT 2020 · Quantitative Techniques & Data Interpretation · Easy · Data Interpretation

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Passage / data set

Instructions [22 - 25 ] Number of Boys and Girls (in hundreds) in six different years in 5 different schools data is given below :

School →\rightarrowAABBCCDDEE
Years ↓\downarrowBoysGirlsBoysGirlsBoysGirlsBoysGirlsBoysGirls
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 of 4

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

  1. A.

    17%

  2. B.

    5%

  3. C.

    9%

  4. D.

    12%

Answer

A

Explanation

Boys in D in 2016 = 6.4 (640). Boys in D in 2017 = 5.3 (530).

Percentage decrease = 6.4−5.36.4×100=1.16.4×100≈17.18%≈17%\frac{6.4 - 5.3}{6.4} \times 100 = \frac{1.1}{6.4} \times 100 \approx 17.18\% \approx 17\%.

Question 2 of 4

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 ?

  1. A.

    52%

  2. B.

    65%

  3. C.

    58%

  4. D.

    46%

Answer

B

Explanation

Girls in B in 2018 = 5.9 (590). Total students in E in 2015 = 5.5+3.6=9.15.5 + 3.6 = 9.1 (910).

Percentage = 5.99.1×100≈64.83%≈65%\frac{5.9}{9.1} \times 100 \approx 64.83\% \approx 65\%.

Question 3 of 4

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

  1. A.

    860

  2. B.

    600

  3. C.

    760

  4. D.

    800

Answer

A

Explanation

Total girls in A = (3.6+4.2+6.9+9.6+12.9+14.4)×100=51.6×100=5160(3.6 + 4.2 + 6.9 + 9.6 + 12.9 + 14.4) \times 100 = 51.6 \times 100 = 5160.

Average = 51606=860\frac{5160}{6} = 860.

Question 4 of 4

What is the ratio of the number of boys in school C in the year 2018 to the number of girls in school A in the year 2018 ?

  1. A.

    29 : 43

  2. B.

    36 : 11

  3. C.

    36 : 13

  4. D.

    29 : 41

Answer

A

Explanation

Boys in C in 2018 = 8.7 (870). Girls in A in 2018 = 12.9 (1290).

Ratio = 870:1290=29:43870 : 1290 = 29 : 43.

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