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# 12 Easy Pieces (or not?)

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Math Expert
Joined: 02 Sep 2009
Posts: 44388
12 Easy Pieces (or not?) [#permalink]

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21 Jan 2012, 06:10
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KUDOS
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After posting some 700+ questions, I've decided to post the problems which are not that hard. Though each question below has a trap or trick so be careful when solving. I'll post OA's with detailed solutions after some discussion. Good luck.

1. There are 5 pairs of white, 3 pairs of black and 2 pairs of grey socks in a drawer. If four socks are picked at random what is the probability of getting two socks of the same color?
A. 1/5
B. 2/5
C. 3/4
D. 4/5
E. 1

Solution: 12-easy-pieces-or-not-126366.html#p1033919

2. If x is an integer and 9<x^2<99, then what is the value of maximum possible value of x minus minimum possible value of x?
A. 5
B. 6
C. 7
D. 18
E. 20

Solution: 12-easy-pieces-or-not-126366.html#p1033921

3. Fanny and Alexander are 360 miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and 65 mph respectively, how far apart will they be exactly 1.5 hours before they meet?
A. 25 miles
B. 65 miles
C. 70 miles
D. 90 miles
E. 135 miles

Solution: 12-easy-pieces-or-not-126366.html#p1033924

4. If -3<x<5 and -7<y<9, which of the following represent the range of all possible values of y-x?
A. -4<y-x<4
B. -2<y-x<4
C. -12<y-x<4
D. -12<y-x<12
E. 4<y-x<12

Solution: 12-easy-pieces-or-not-126366.html#p1033925

5. The angles in a triangle are x, 3x, and 5x degrees. If a, b and c are the lengths of the sides opposite to angles x, 3x, and 5x respectively, then which of the following must be true?
I. c>a+b
II. c^2>a^2+b^2
III. c/a/b=10/6/2

A. I only
B. II only
C. III only
D. I and III only
E. II and III only

Solution: 12-easy-pieces-or-not-126366.html#p1033930

6. Anna has 10 marbles: 5 red, 2 blue, 2 green and 1 yellow. She wants to arrange all of them in a row so that no two adjacent marbles are of the same color and the first and the last marbles are of different colors. How many different arrangements are possible?
A. 30
B. 60
C. 120
D. 240
E. 480

Solution: 12-easy-pieces-or-not-126366.html#p1033932

7. After 2/9 of the numbers in a data set A were observed, it turned out that 3/4 of those numbers were non-negative. What fraction of the remaining numbers in set A must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1?
A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

Solution: 12-easy-pieces-or-not-126366.html#p1033933

8. There are 15 black chips and 5 white chips in a jar. What is the least number of chips we should pick to guarantee that we have 2 chips of the same color?
A. 3
B. 5
C. 6
D. 16
E. 19

Solution: 12-easy-pieces-or-not-126366.html#p1033935

9. Julie is putting M marbles in a row in a repeating pattern: blue, white, red, green, black, yellow, pink. If the row begins with blue marble and ends with red marble, then which of the following could be the value of M?
A. 22
B. 30
C. 38
D. 46
E. 54

Solution: 12-easy-pieces-or-not-126366.html#p1033936

10. If $$n$$ is an integer and $$\frac{1}{10^{n+1}}<0.00737<\frac{1}{10^n}$$, then what is the value of n?
A. 1
B. 2
C. 3
D. 4
E. 5

Solution: 12-easy-pieces-or-not-126366.html#p1033938

11. The numbers {1, 3, 6, 7, 7, 7} are used to form three 2-digit numbers. If the sum of these three numbers is a prime number p, what is the largest possible value of p?
A. 97
B. 151
C. 209
D. 211
E. 219

Solution: 12-easy-pieces-or-not-126366-20.html#p1033939

12. If $${-\frac{1}{3}}\leq{x}\leq{-\frac{1}{5}}$$ and $${-\frac{1}{2}}\leq{y}\leq{-\frac{1}{4}}$$, what is the least value of $$x^2*y$$ possible?
A. -1/100
B. -1/50
C. -1/36
D. -1/18
E. -1/6

Solution: 12-easy-pieces-or-not-126366-20.html#p1033949

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Joined: 11 Oct 2017
Posts: 1
Re: 12 Easy Pieces (or not?) [#permalink]

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05 Nov 2017, 09:46
Bunuel wrote:
4. If -3<x<5 and -7<y<9, which of the following represent the range of all possible values of y-x?
A. -4<y-x<4
B. -2<y-x<4
C. -12<y-x<4
D. -12<y-x<12
E. 4<y-x<12

To get max value of y-x take max value of y and min value of x: 9-(-3)=12;
To get min value of y-x take min value of y and max value of x: -7-(5)=-12;

Hence, the range of all possible values of y-x is -12<y-x<12.

I am having a hard time understanding this one. How can the max value of y be 9 if it has a less than sign. Can't it only be 8?
Math Expert
Joined: 02 Sep 2009
Posts: 44388
Re: 12 Easy Pieces (or not?) [#permalink]

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05 Nov 2017, 09:48
woobanga36 wrote:
Bunuel wrote:
4. If -3<x<5 and -7<y<9, which of the following represent the range of all possible values of y-x?
A. -4<y-x<4
B. -2<y-x<4
C. -12<y-x<4
D. -12<y-x<12
E. 4<y-x<12

To get max value of y-x take max value of y and min value of x: 9-(-3)=12;
To get min value of y-x take min value of y and max value of x: -7-(5)=-12;

Hence, the range of all possible values of y-x is -12<y-x<12.

I am having a hard time understanding this one. How can the max value of y be 9 if it has a less than sign. Can't it only be 8?

Check here: https://gmatclub.com/forum/12-easy-piec ... l#p1268538
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Joined: 14 Jun 2016
Posts: 74
Location: India
GMAT 1: 600 Q49 V21
WE: Engineering (Manufacturing)
Re: 12 Easy Pieces (or not?) [#permalink]

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15 Dec 2017, 10:15
Great questions........Can you please provide some links for similar set of questions...I am in my final phase of preparation and want to check tricky ones....Thanks a lot
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Math Expert
Joined: 02 Sep 2009
Posts: 44388
Re: 12 Easy Pieces (or not?) [#permalink]

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15 Dec 2017, 10:17
buan15 wrote:
Great questions........Can you please provide some links for similar set of questions...I am in my final phase of preparation and want to check tricky ones....Thanks a lot

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Joined: 10 Dec 2017
Posts: 1
12 Easy Pieces (or not?) [#permalink]

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17 Dec 2017, 08:09
The worst case scenario will be when 5 white chips are selected in a row. So the answer should be 6 (Option 'C').
Math Expert
Joined: 02 Sep 2009
Posts: 44388
12 Easy Pieces (or not?) [#permalink]

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17 Dec 2017, 09:08
prwkingdom wrote:
The worst case scenario will be when 5 white chips are selected in a row. So the answer should be 6 (Option 'C').

The correct answer to question 6 should be and is A, not C. Check here: https://gmatclub.com/forum/12-easy-piec ... l#p1033935

8. There are 15 black chips and 5 white chips in a jar. What is the least number of chips we should pick to guarantee that we have 2 chips of the same color?
A. 3
B. 5
C. 6
D. 16
E. 19

Worst case scenario would be if the first two chips we pick will be of the different colors. But the next chip must match with either of two, so 3 is the answer.

Check other Worst Case Scenario Questions from our Special Questions Directory to understand the concept better.
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Posts: 88
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Concentration: Finance, Technology
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Re: 12 Easy Pieces (or not?) [#permalink]

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25 Dec 2017, 02:23
6. Anna has 10 marbles: 5 red, 2 blue, 2 green and 1 yellow. She wants to arrange all of them in a row so that no two adjacent marbles are of the same color and the first and the last marbles are of different colors. How many different arrangements are possible?
A. 30
B. 60
C. 120
D. 240
E. 480

Kindly point out where i went wrong in this.

Since no two adjacent marbles of same color can be together and First & Last are to be different in color.

R , B, R, B, R, G, R, G, R, Y
5 * 2*4*1* 3* 2*2*1*1*1

Waiting for a response.
Re: 12 Easy Pieces (or not?)   [#permalink] 25 Dec 2017, 02:23

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# 12 Easy Pieces (or not?)

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