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If a total of 84 students are enrolled in two sections of a calculus

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If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 22 Dec 2014, 08:48
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If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 22 Dec 2014, 09:44
Statement 1: 2/3 of the students in Section 1 are female
We don't know the ratio of students in Section 2 and the ratio of students in each section -- Insufficient

Statement 2: 1/2 of the students in Section 2 are male
We don't know the ratio of students in Section 1 and the ratio of students in each section -- Insufficient

Combining 1&2: Still we don't know the ratio of students in each section.
Both Statement together are insufficient, Answer E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 22 Dec 2014, 21:15
Looking at the question you will understand that the student are broken up into 2 sections I & II. Each section is further has male and Females. total students are 84. Hence Section I & II can have a combinations such as 10,74 1,73 42,42 etc.

S(1): Only ratio of m:f for section I. No way of determining exact value. Hence N.S

S(2): Only ratio of m:f for section II. No way of determining exact value. Hence N.S

Even after combining we do not know the ratio of students from section I & II to determine the various values. Hence N.S

THus answer is E.
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 23 Dec 2014, 04:07
2
Bunuel wrote:

Tough and Tricky questions: Word Problems.



If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.


Let there be x students in section-1 and y students in section-2
so, x+y=84

stmnt-1
2/3 of x = Female
we dont know how many female are from section-2
Insuff

stmnt-2
1/2 of y = male
1/2 of y= female
Insuff

from 1+2
2x/3+y/2 are total no.f female
still insuff
hence E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 23 Dec 2014, 06:13
Bunuel wrote:

Tough and Tricky questions: Word Problems.



If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.


Let X be the number of students in Section-1 and Y be the number of students in Section-2. Then X+Y = 84. Need to find no of girls in two sections.

St-1 is not sufficient as we do not have any details of section - 2
St-2 is not sufficient as we do not have any details of section - 1

1 + 2 --> 2X/3 + Y/2 = ? Not sufficient. So Ans - E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 23 Dec 2014, 11:44
Bunuel wrote:

Tough and Tricky questions: Word Problems.



If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.



From Statement 1: we know that 2/3 of the student are female, but we dont know the total of section 1 (Total could be 3 or 81)- Not sufficient
Statement 2: 1/ are female, again We don't know the total - Not sufficient

Ans E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 24 Dec 2014, 00:29
1
FEMALE + MALE = 84
CLASS A + CLASS B = 84 (?)

so (1) is not sufficient
and (2) is not sufficient
-> no details about the other course

How about both:

CLASS A = 2/3a + 1/3a
CLASS B = 1/2b + 1/2b = 84 - CLASS A

we dont know about a or b..

together not sufficient -> E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 24 Dec 2014, 08:24
Bunuel wrote:

Tough and Tricky questions: Word Problems.



If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?

(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.

Kudos for a correct solution.


The correct answer is E.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 18 Feb 2016, 16:38
Let there be x students in section-1 and y students in section-2
so, x+y=84

stmnt-1
2/3 of x = Female
we dont know how many female are from section-2
Insuff

stmnt-2
1/2 of y = male
1/2 of y= female
Insuff

from 1+2
2x/3+y/2 are total no.f female
still insSUFICENT CORRECT ANSWER E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 11 Apr 2016, 07:21
bunuel sir i think it is better if you remove tough and tricky from the question.
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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New post 27 Sep 2016, 14:18
we need to find how many female students are there
statement 1 gives ratio of female to male students in section 1 is 2:1 clearly insufficient
Statement 2 gives ratio of male to female students in section 2 is 1 :1 clearly insufficient
combining both we don't get the ratio or division of students between 2 sections so again insufficient
Correct answer - E
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Re: If a total of 84 students are enrolled in two sections of a calculus  [#permalink]

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