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In year 2002,
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21 Jun 2025, 02:49
21 Jun 2025, 02:49
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In year 2002, $\(\frac{1}{5}\)$ of science enrolments, $\(\frac{1}{6}\)$ of vocational enrolments, $\(\frac{3}{4}\)$ of commerce enrolments and $\(\frac{1}{3}\)$ of physical education enrolments were offered scholarships. What was the approximate number of enrolments offered scholarships in 2002? (Note : No enrolment in any other course was offered any scholarship.).
(A) 3000
(B) 4300
(C) 5800
(D) 6900
(E) 7500
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Re: In year 2002,
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25 Jun 2025, 09:23
25 Jun 2025, 09:23
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Total Enrolments in 2002: The charts indicate "COURSE-WISE DIVISION OF 50,000 ENROLMENTS IN 2002". So, the total number of enrolments is 50,000.
Enrolment Percentages in 2002 (from the second pie chart):
- Science: $10 %$
- Vocational: $17 %$
- Commerce: $9.40 %$
- Physical Education: $8.50 %$
Calculate Enrolments for Each Course in 2002:
- Science: $10 %$ of $\(50,000=0.10 \times 50,000=5,000\)$ enrolments
- Vocational: $17 %$ of $\(50,000=0.17 \times 50,000=8,500\)$ enrolments
- Commerce: $9.40 %$ of $\(50,000=0.094 \times 50,000=4,700\)$ enrolments
- Physical Education: $8.50%$ of $\(50,000=0.085 \times 50,000=4,250\)$ enrolments
Calculate Scholarships Offered in Each Course:
- Science: $\(\frac{1}{5}\)$ of Science enrolments $\(=\frac{1}{5} \times 5,000=1,000\)$ scholarships
- Vocational: $\(\frac{1}{6}\)$ of Vocational enrolments $\(=\frac{1}{6} \times 8,500=1416.66 \ldots \approx 1,417\)$ scholarships
- Commerce: $\(\frac{3}{4}\)$ of Commerce enrolments $\(=\frac{3}{4} \times 4,700=3 \times 1,175=3,525\)$ scholarships
- Physical Education: $\(\frac{1}{3}\)$ of Physical Education enrolments $\(=\frac{1}{3} \times 4,250=1416.66 \ldots \approx\)$ 1,417 scholarships
Total Approximate Number of Enrolments Offered Scholarships in 2002:
Total Scholarships = Science + Vocational + Commerce + Physical Education
Total Scholarships $\(=1,000+1,417+3,525+1,417\)$
Total Scholarships = 7, 359
Total Approximate Number of Enrolments Offered Scholarships in 2002:
Total Scholarships = Science + Vocational + Commerce + Physical Education
Total Scholarships $\(=1,000+1,417+3,525+1,417\)$
Total Scholarships = 7, 359
Now, let's compare this total to the given options:
(A) 3000
(B) 4300
(C) 5800
(D) 6900
(E) 7500
Our calculated total of 7,359 is closest to (E) 7500.
Enrolment Percentages in 2002 (from the second pie chart):
- Science: $10 %$
- Vocational: $17 %$
- Commerce: $9.40 %$
- Physical Education: $8.50 %$
Calculate Enrolments for Each Course in 2002:
- Science: $10 %$ of $\(50,000=0.10 \times 50,000=5,000\)$ enrolments
- Vocational: $17 %$ of $\(50,000=0.17 \times 50,000=8,500\)$ enrolments
- Commerce: $9.40 %$ of $\(50,000=0.094 \times 50,000=4,700\)$ enrolments
- Physical Education: $8.50%$ of $\(50,000=0.085 \times 50,000=4,250\)$ enrolments
Calculate Scholarships Offered in Each Course:
- Science: $\(\frac{1}{5}\)$ of Science enrolments $\(=\frac{1}{5} \times 5,000=1,000\)$ scholarships
- Vocational: $\(\frac{1}{6}\)$ of Vocational enrolments $\(=\frac{1}{6} \times 8,500=1416.66 \ldots \approx 1,417\)$ scholarships
- Commerce: $\(\frac{3}{4}\)$ of Commerce enrolments $\(=\frac{3}{4} \times 4,700=3 \times 1,175=3,525\)$ scholarships
- Physical Education: $\(\frac{1}{3}\)$ of Physical Education enrolments $\(=\frac{1}{3} \times 4,250=1416.66 \ldots \approx\)$ 1,417 scholarships
Total Approximate Number of Enrolments Offered Scholarships in 2002:
Total Scholarships = Science + Vocational + Commerce + Physical Education
Total Scholarships $\(=1,000+1,417+3,525+1,417\)$
Total Scholarships = 7, 359
Total Approximate Number of Enrolments Offered Scholarships in 2002:
Total Scholarships = Science + Vocational + Commerce + Physical Education
Total Scholarships $\(=1,000+1,417+3,525+1,417\)$
Total Scholarships = 7, 359
Now, let's compare this total to the given options:
(A) 3000
(B) 4300
(C) 5800
(D) 6900
(E) 7500
Our calculated total of 7,359 is closest to (E) 7500.
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