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# Of the 50 students in a class, 35 students took a course in speech and

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Joined: 29 Jan 2015
Posts: 1133
Location: India
WE: General Management (Non-Profit and Government)
Of the 50 students in a class, 35 students took a course in speech and  [#permalink]

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02 Feb 2019, 01:17
2
00:00

Difficulty:

15% (low)

Question Stats:

81% (00:57) correct 19% (01:06) wrong based on 19 sessions

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Of the 50 students in a class, 35 students took a course in speech and 26 students took a course in writing. At least how many students took both a course in speech and a course in writing?

(A) 9

(B) 11

(C) 15

(D) 24

(E) 26

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Re: Of the 50 students in a class, 35 students took a course in speech and  [#permalink]

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02 Feb 2019, 01:40
rohan2345 wrote:
Of the 50 students in a class, 35 students took a course in speech and 26 students took a course in writing. At least how many students took both a course in speech and a course in writing?

(A) 9

(B) 11

(C) 15

(D) 24

(E) 26

making a grid would be much desirable however here I am taking another approach

There are 4 categories in terms of students choosing the courses.

Only Speech (a) + Only Writing (b) + both Course (c) + none course (d) = 50

Given,

a+c = 35 i.e. b+d = 15
b+c = 26 i.e. a+d = 24

To minimize c we need to maximize a and b and minimize d which may be zero

now, 35+26-c = 50

i..e. c = 11

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Re: Of the 50 students in a class, 35 students took a course in speech and  [#permalink]

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02 Feb 2019, 01:41
35+26-50=11
Ans:b

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Re: Of the 50 students in a class, 35 students took a course in speech and   [#permalink] 02 Feb 2019, 01:41
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