Engineering Specialisations Data Interpretation

CMAT 2024 · Quantitative Techniques & Data Interpretation · Medium · Data Interpretation

Passage / data set

There are 240 students in an engineering college. Each student opted for exactly one of three specialisations among Computer Science, Mechanical and Electronics. The total number of students who opted for Computer Science and Electronics is equal to the number of students who opted for Mechanical. 42.5% students who opted for Mechanical are girls. The number of girls who opted for Computer Science is one-third the number of boys who opted for Mechanical. The difference between the number of boys who opted for Electronics and the number of girls who opted for Computer Science is equal to the difference between the number of boys who opted for Computer Science and the number of girls who opted for Electronics. The number of girls who opted for Electronics is 28.

Question 1 of 3

The total number of girls in the Engineering College is

  1. A.

    138

  2. B.

    112

  3. C.

    102

  4. D.

    116

Answer

C

Explanation

Let C,M,EC, M, E be the number of students in Computer Science, Mechanical, and Electronics respectively. Total students = C+M+E=240C + M + E = 240. Given C+E=M  ⟹  M+M=240  ⟹  M=120C + E = M \implies M + M = 240 \implies M = 120 and C+E=120C + E = 120.

In Mechanical (M=120M = 120): Girls in M=42.5% of 120=51M = 42.5\% \text{ of } 120 = 51. Boys in M=120−51=69M = 120 - 51 = 69.

In Computer Science (CC): Girls in C=13×(Boys in M)=13×69=23C = \frac{1}{3} \times (\text{Boys in } M) = \frac{1}{3} \times 69 = 23.

In Electronics (EE): Girls in E=28E = 28.

Total girls = Girls in MM + Girls in CC + Girls in E=51+23+28=102E = 51 + 23 + 28 = 102.

Hence, Option C is correct.

Question 2 of 3

The number of girls who opted Mechanical is how much percent of number of students who opted Electronics?

  1. A.

    75 %

  2. B.

    80 %

  3. C.

    85 %

  4. D.

    90 %

Answer

C

Explanation

From the set data: Girls in Mechanical = 5151. Number of students in Electronics (EE) = 6060 (since E=C=60E = C = 60). Percentage = 5160×100%=85%\frac{51}{60} \times 100\% = 85\%.

Hence, Option C is correct.

Question 3 of 3

By what percent is the number of boys who opted for Mechanical is more than the total number of students who opted for Electronics?

  1. A.

    15 %

  2. B.

    12 %

  3. C.

    13.5 %

  4. D.

    17.5 %

Answer

A

Explanation

Boys in Mechanical = 6969. Total students in Electronics = 6060. Percentage difference = 69−6060×100%=960×100%=15%\frac{69 - 60}{60} \times 100\% = \frac{9}{60} \times 100\% = 15\%.

Hence, Option A is correct.

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