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Bunuel
In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?

A. 515.
B. 545.
C. 618.
D. 644.
E. 666.

NM = 226
AV = 423

Both = 134

Total second year students = (226 - 134) + (423 - 134) + 134 = 226 + 423 - 134 = 515
Assume total students = x
Therefore 0.8x = 515
x = 515/0.8 = 5150/8 = 643 approx

Correct Option: D
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Bunuel
In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?

A. 515.
B. 545.
C. 618.
D. 644.
E. 666.

Attachment:
Venn Diagram - simple.JPG
Venn Diagram - simple.JPG [ 31.43 KiB | Viewed 3432 times ]

Refer diagram above.

134 students take both courses.

so 226-134 = 92 students take only Numeric Methods.

similarly 423 - 134 = 289 students take only Auto. control

So total 2nd year students = 92+134+289 = 515

If total students are x, then 0.8x = 515

x = 643.75

say 644.

D is the answer.
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