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# 50 tricky questions

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Manager
Joined: 25 Jan 2010
Posts: 109

Kudos [?]: 237 [0], given: 40

Location: Calicut, India

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01 Dec 2011, 21:29
Thanks. Worth to go through
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If u think this post is useful plz feed me with a kudo

Kudos [?]: 237 [0], given: 40

Manager
Joined: 24 Oct 2011
Posts: 92

Kudos [?]: 17 [0], given: 27

Location: India
GMAT Date: 11-29-2011
GPA: 3.5
WE: Web Development (Computer Software)

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08 Dec 2011, 09:24
Thanks for the docs

Kudos [?]: 17 [0], given: 27

Manager
Joined: 27 Oct 2011
Posts: 184

Kudos [?]: 210 [1], given: 4

Location: United States
Concentration: Finance, Strategy
GPA: 3.7
WE: Account Management (Consumer Products)

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08 Dec 2011, 10:19
1
KUDOS
This is great. I will attempt to do these.
_________________

DETERMINED TO BREAK 700!!!

Kudos [?]: 210 [1], given: 4

Intern
Joined: 10 Sep 2011
Posts: 48

Kudos [?]: 18 [1], given: 22

Location: Georgia
GMAT 1: 540 Q44 V21
GPA: 3.68
WE: Public Relations (Non-Profit and Government)

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08 Dec 2011, 12:29
1
KUDOS
A test has 50 questions. A student scores 1 mark for a correct answer, –1/3 for a wrong
answer, and –1/6 for not attempting a question. If the net score of a student is 32, the number
of questions answered wrongly by that student cannot be less than
1. 6 2. 12 3. 3 4. 9
Soln. (3) — Let the number of correct answers be ‘x’, number of wrong answers be ‘y’ and
number of questions not attempted be ‘z’.
Thus, x + y + z = 50 … (i)
And  x – y – z 32
3 6
The second equation can be written as,
6x – 2y – z = 192 … (ii)
Adding the two equations we get,
7x – y = 242 or x = 242 + y
7
Since, x and y are both integers, y cannot be 1 or 2. The minimum value that y can
have is 3.

can u explain why Y can not be 1 or 2....i tried to make 242/7+Y integer but even 3 is not enough
_________________

Flying from shadow to the light

Kudos [?]: 18 [1], given: 22

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7668

Kudos [?]: 17324 [0], given: 232

Location: Pune, India

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08 Dec 2011, 23:16
paata01 wrote:
A test has 50 questions. A student scores 1 mark for a correct answer, –1/3 for a wrong
answer, and –1/6 for not attempting a question. If the net score of a student is 32, the number
of questions answered wrongly by that student cannot be less than
1. 6 2. 12 3. 3 4. 9
Soln. (3) — Let the number of correct answers be ‘x’, number of wrong answers be ‘y’ and
number of questions not attempted be ‘z’.
Thus, x + y + z = 50 … (i)
And  x – y – z 32
3 6
The second equation can be written as,
6x – 2y – z = 192 … (ii)
Adding the two equations we get,
7x – y = 242 or x = 242 + y
7
Since, x and y are both integers, y cannot be 1 or 2. The minimum value that y can
have is 3.

can u explain why Y can not be 1 or 2....i tried to make 242/7+Y integer but even 3 is not enough

The equation you get is 7x - y = 242
x = (242 + y)/7 (don't forget that the entire 242+y is divided by 7, not just 242)
Since x must be an integer, (242+y) must be divisible by 7. After 242, the closest multiple of 7 is 245 (if you are wondering how to get it, divide 242 by 7. You get 4 as remainder. So you need another 3 to go to the next multiple of 7). So y must be at least 3.
Think: Can y take other values? If yes, which ones?
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Kudos [?]: 17324 [0], given: 232

Intern
Joined: 10 Sep 2011
Posts: 48

Kudos [?]: 18 [0], given: 22

Location: Georgia
GMAT 1: 540 Q44 V21
GPA: 3.68
WE: Public Relations (Non-Profit and Government)

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08 Dec 2011, 23:36
VeritasPrepKarishma wrote:
paata01 wrote:
A test has 50 questions. A student scores 1 mark for a correct answer, –1/3 for a wrong
answer, and –1/6 for not attempting a question. If the net score of a student is 32, the number
of questions answered wrongly by that student cannot be less than
1. 6 2. 12 3. 3 4. 9
Soln. (3) — Let the number of correct answers be ‘x’, number of wrong answers be ‘y’ and
number of questions not attempted be ‘z’.
Thus, x + y + z = 50 … (i)
And  x – y – z 32
3 6
The second equation can be written as,
6x – 2y – z = 192 … (ii)
Adding the two equations we get,
7x – y = 242 or x = 242 + y
7
Since, x and y are both integers, y cannot be 1 or 2. The minimum value that y can
have is 3.

can u explain why Y can not be 1 or 2....i tried to make 242/7+Y integer but even 3 is not enough

The equation you get is 7x - y = 242
x = (242 + y)/7 (don't forget that the entire 242+y is divided by 7, not just 242)
Since x must be an integer, (242+y) must be divisible by 7. After 242, the closest multiple of 7 is 245 (if you are wondering how to get it, divide 242 by 7. You get 4 as remainder. So you need another 3 to go to the next multiple of 7). So y must be at least 3.
Think: Can y take other values? If yes, which ones?

thanks..now i got it..
_________________

Flying from shadow to the light

Kudos [?]: 18 [0], given: 22

Intern
Joined: 10 Sep 2011
Posts: 48

Kudos [?]: 18 [0], given: 22

Location: Georgia
GMAT 1: 540 Q44 V21
GPA: 3.68
WE: Public Relations (Non-Profit and Government)

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09 Dec 2011, 00:33
The function f(x) = |x – 2| + |2.5 – x| + |3.6 – x|, where x is a real number, attains a minimum
at
1. x = 2.3 2. x = 2.5 3. x = 2.7 4. None of the above
Soln. (2) — Case 1: If x < 2, then y = 2 – x + 2.5 – x + 3.6 – x = 8.1 – 3x.
This will be least if x is highest i.e. just less than 2.
In this case y will be just more than 2.1
Case 2: If 2  x  2.5 , then y = x – 2 + 2.5 – x 3.6 – x = 4.1 – x
Again, this will be least if x is the highest case y will be just more than 1.6.
Case 3: If 2.5  x  3.6 , then y = x – 2 + x – 2.5 + 3.6 – x = x – 0.9
This will be least if x is least i.e. X = 2.5.
Case 4: If In this case y = 1.6 X  3.6 , then
y = x – 2 + x – 2.5 + x – 3.6 = 3x – 8.1
The minimum value of this will be at x = 3.6 = 27
Hence the minimum value of y is attained at x = 2.5

can u explain this one...
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Flying from shadow to the light

Kudos [?]: 18 [0], given: 22

Intern
Joined: 16 Jan 2011
Posts: 31

Kudos [?]: [0], given: 0

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10 Jan 2012, 10:59
thanks for sharing!

Kudos [?]: [0], given: 0

Intern
Joined: 11 Oct 2011
Posts: 6

Kudos [?]: 5 [0], given: 1

Location: United States
Concentration: Strategy, Finance
Schools: CBS '15 (M)
GPA: 3.95
WE: Analyst (Investment Banking)

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05 Mar 2012, 08:33
thanks for sharing!

Kudos [?]: 5 [0], given: 1

Manager
Joined: 09 Jun 2008
Posts: 111

Kudos [?]: 14 [0], given: 46

Concentration: Finance, Strategy
Schools: Chicago (Booth) - Class of 2014
GMAT 1: 730 Q50 V41

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14 Mar 2012, 17:22
Thanks for sharing

Posted from GMAT ToolKit
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__________________________________________
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Kudos [?]: 14 [0], given: 46

Intern
Joined: 11 Nov 2011
Posts: 1

Kudos [?]: [0], given: 3

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11 Oct 2012, 02:01
ykaiim wrote:
Here is another set on another 123 tricky questions covering allmost all topics in PS and DS.

If you have any doubt then please bring it on the forum. Lets analyse together.

Hello, 89th prob.., we are asked to find out the dollar amount received after sale of suits ,, but the solution ended after finding number of suits!! amount would be <price of each suit * number of suits> i.e. x*(200-x/2).., correct me if m wrong!!

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Intern
Joined: 29 Nov 2012
Posts: 1

Kudos [?]: [0], given: 0

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03 Dec 2012, 23:59
Q63. Total combination for committee 8C2 x 5C3 x 8C1. Why is it wrong?

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Math Expert
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128511 [0], given: 12179

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04 Dec 2012, 03:42
ShinjiOno wrote:
Q63. Total combination for committee 8C2 x 5C3 x 8C1. Why is it wrong?

Please post the whole question in respective forum.
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Moderator
Joined: 01 Sep 2010
Posts: 3355

Kudos [?]: 9040 [0], given: 1152

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04 Dec 2012, 03:48
To recup, is worth this compilation ??? let me know please

Regards
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Kudos [?]: 9040 [0], given: 1152

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16764

Kudos [?]: 273 [0], given: 0

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05 Jan 2014, 21:29
Hello from the GMAT Club BumpBot!

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Intern
Joined: 07 Apr 2014
Posts: 1

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17 Apr 2014, 21:37
Thanks a lot buddy !!!

Posted from my mobile device

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Intern
Joined: 24 May 2014
Posts: 1

Kudos [?]: [0], given: 3

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01 Jul 2014, 23:05
Thanks , it's really a good collection. Much appreciated !

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GMAT Club Legend
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29 Jul 2015, 00:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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05 Sep 2016, 00:14
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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06 Sep 2017, 11:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: 50 tricky questions   [#permalink] 06 Sep 2017, 11:45

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