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# The surface area of a square tabletop was changed so that

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Director
Joined: 03 Sep 2006
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The surface area of a square tabletop was changed so that [#permalink]  04 Apr 2007, 21:30
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The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?

(1) The combined length of the longer two pieces of rope is 12 meters.
(2) The combined length of the shorter two pieces of rope is 11 meters.

What fraction of his salary did Mr. Johnson put into savings last week?

(1) Last week Mr. Johnson put \$17 into savings.
(2) Last week Mr. Johnson put 5% of his salary into savings.

Each M-type memory unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes of the computer?

(1) 2 M-type memory units will increase the computers base memory capacity by 300 percent
(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity of the computer after 1 M-type memory unit is added to the base memory capacity.

What fractional part of the total surface area of cube C is red?

(1) Each of 3 faces of C is exactly red.
(2) Each of 3 faces of C is entirely white.

If x is an integer, what is the value of x?

(1) â€“2(x + 5) < -1
(2) â€“ 3x > 9

If y≠0 and y≠-1, which is greater,

(1) x≠0
(2) x > y

Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?

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Joined: 04 May 2004
Posts: 49
Location: India
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Kudos [?]: 15 [0], given: 0

Re: DS questions [#permalink]  04 Apr 2007, 22:19
LM wrote:
The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

side = x
old area = x^2
new area = (x-1)(x+2)

1. area is 70, (x-1)(X+2) = 70. Can thus find value of x. Statement 1 is thus sufficient.
2. 25% increase. (NA-OA)/OA = 25 .. can equate and this shall give out answer.
Thus both can independently give out answer

LM wrote:
If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?

(1) The combined length of the longer two pieces of rope is 12 meters.
(2) The combined length of the shorter two pieces of rope is 11 meters.

x,y,z are pieces.
1. x+y = 12
2. y+z = 11

3 variables and 2 equations - cant get the answer.
None of the statements can give answer

LM wrote:
What fraction of his salary did Mr. Johnson put into savings last week?

(1) Last week Mr. Johnson put \$17 into savings.
(2) Last week Mr. Johnson put 5% of his salary into savings.

Only statement 2 will give answer. 5% !

LM wrote:
Each M-type memory unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes of the computer?

(1) 2 M-type memory units will increase the computers base memory capacity by 300 percent
(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity of the computer after 1 M-type memory unit is added to the base memory capacity.

1. x + 2*3 = 3*z, thus statement 1 will give answer.
2. x + 2*3 = 1.6*(x + 3), thus statement 2 can also give answer independently.
Both statements can give answers independently

LM wrote:
What fractional part of the total surface area of cube C is red?

(1) Each of 3 faces of C is exactly red.
(2) Each of 3 faces of C is entirely white.

NO CLUE

LM wrote:
If x is an integer, what is the value of x?

(1) â€“2(x + 5) <1> 9

NO CLUE

LM wrote:
If y≠0 and y≠-1, which is greater,

(1) x≠0
(2) x > y

NO CLUE

LM wrote:
Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?

1. F got 11 votes, remaining 29 votes .. someone else might get 28 and third one just 1
2. H got 14, remaining 26, again it could be 25 and 1

combine the two ... F+H = 25, remaining 15. thus we can give answer.
Both statements together can thus give answer.
Senior Manager
Joined: 11 Feb 2007
Posts: 360
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Kudos [?]: 16 [0], given: 0

If x is an integer, what is the value of x?

(1) â€“2(x + 5) <1> 9

(1)
â€“2(x + 5) <1>2
x>-3
Not suff.

(2)
â€“ 3x > 9
x<-3
Not suff.

(1)+(2)
-3<x<-3 hmmm...doesn't make sense..
Not suff.

Hmmm...did u write down the question right?
maybe the signs should be <and>=?
If so, then C.

But if not then I guess E.
Senior Manager
Joined: 20 Feb 2007
Posts: 265
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Kudos [?]: 4 [0], given: 0

Quote:
If x is an integer, what is the value of x?

(1) â€“2(x + 5) < -1
(2) â€“ 3x > 9

(1) x can be more than 1 or x can be -1, -2, -3 or -4, but not less than -4.
INSUFF

(2) -3x > 9 => x < -3
That can be any value -4, -5, -6 etc...
INSUFF

Taking (1) and (2) together:
x = -4 SUFF

What is the OA?
Senior Manager
Joined: 20 Feb 2007
Posts: 265
Followers: 1

Kudos [?]: 4 [0], given: 0

Quote:
The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

The question says: OA = Old area, s = side
OA = s^2
New dimensions = (s+2) and (s-1)
NA = (s+2) * (s-1)

(1) NA = (s+2) * (s-1) = 70 SUFF

(2) (s+2) = 1.25s => 1.25s - 1s = 2 => 0.25s = 2 => s = 8 SUFF

Senior Manager
Joined: 20 Feb 2007
Posts: 265
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Kudos [?]: 4 [0], given: 0

Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?

F+G+H = 40

(1) If F = 11, then G+H = 40-11 = 29 or 14+15 or 1+28(in both cases F didn't receive the most votes) SUFF

(2) If H = 14, then F+G = 40-14 = 26 or 13+13 or 25+1 (Here F may or may not have the most votes) INSUFF

Senior Manager
Joined: 20 Feb 2007
Posts: 265
Followers: 1

Kudos [?]: 4 [0], given: 0

Quote:
If y≠0 and y≠-1, which is greater,

(1) x≠0
(2) x > y

Do I miss something in this question or there is some error?
Senior Manager
Joined: 20 Feb 2007
Posts: 265
Followers: 1

Kudos [?]: 4 [0], given: 0

Quote:
If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?

(1) The combined length of the longer two pieces of rope is 12 meters.
(2) The combined length of the shorter two pieces of rope is 11 meters.

Let the 3 pieces are x, y, and z (x is the shortest).
(1) y+z = 12 INSUFF
(2) x+y = 11 INSUFF

Taking (1) and (2) together: INSUFF

SVP
Joined: 01 May 2006
Posts: 1816
Followers: 8

Kudos [?]: 87 [0], given: 0

If x is an integer, what is the value of x?

(1) â€“2(x + 5) < -1
(2) â€“ 3x > 9

(C) for me too

x = ?

From 1
â€“2(x + 5) < -1
<=> x + 5 > 1/2
<=> x > -9/2 > -5

INSUFF.

From 2
â€“3x > 9
<=> x < -3

Combined 1 with 2
-5 < x < -3. As x is an integer, the only possibility is x = -4

SUFF.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
Followers: 17

Kudos [?]: 136 [0], given: 0

Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?

St1:
We know G or H took 29 votes. It could be G = 14 votes and H = 15 votes (and vice-versa). In any case, F got the least. Sufficient.

St2:
We know G or F took 26 votes. Here, F could have took home all 26 votes making him with the most votes, or there could be a split of 13 votes each making H the winner. Insufficient.

Ans A
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Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
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Kudos [?]: 136 [0], given: 0

If y≠0 and y≠-1, which is greater,

(1) x≠0
(2) x > y

Okay, there must be a typographical error here.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
Followers: 17

Kudos [?]: 136 [0], given: 0

If x is an integer, what is the value of x?

(1) â€“2(x + 5) <1> 9

St1:

(x+5) > 1/2
x > -4.5 -> could be any value. Insufficient.

St2:
x <3> again, could be any value. Insufficient.

Using both, x could be between -3 and -4.5, so the only number must be -4. Sufficient.

Ans C
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
Followers: 17

Kudos [?]: 136 [0], given: 0

What fractional part of the total surface area of cube C is red?

(1) Each of 3 faces of C is exactly red.
(2) Each of 3 faces of C is entirely white.

St1:
but there could be more faces red. insufficient.

St2:
We don't know about the other three sides. Insufficient.

Using st1 and st2:
we know 50% is red. sufficient.

Ans C
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
Followers: 17

Kudos [?]: 136 [0], given: 0

Each M-type memory unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes of the computer?

(1) 2 M-type memory units will increase the computers base memory capacity by 300 percent

(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity of the computer after 1 M-type memory unit is added to the base memory capacity.

Assume base capacity is x MB,

St1:
(x+6)/x * 100% = 300%
x+6/x = 3
Can solve for x. Sufficient.

St2:
x+6 = (x+3)*1.6
Can solve for x. Sufficient.

Ans D
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5097
Location: Singapore
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Kudos [?]: 136 [0], given: 0

What fraction of his salary did Mr. Johnson put into savings last week?

(1) Last week Mr. Johnson put \$17 into savings.
(2) Last week Mr. Johnson put 5% of his salary into savings.

St1:
Insufficient. we don't know how muc he earn.

St2:
sufficient. we can convert % to fractions.

Ans B
Director
Joined: 14 Jan 2007
Posts: 783
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Kudos [?]: 50 [0], given: 0

What fractional part of the total surface area of cube C is red?

(1) Each of 3 faces of C is exactly red.
(2) Each of 3 faces of C is entirely white.

Statement1 says each of three faces is exactly red. It does not say anything about other three faces. So you don't know about other three faces they can be red or not. So insuff.

Same with statement 2, we are not sure which three faces he is talking about. so Insuff.
Combining them together- now we know that three faces are red and three faces are white. hence gives the fraction of surface area which is red.
so SUFF.

ANSWER IS 'C' --this is more of a english twister rather than a PS question
Director
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Summer3 wrote:
Quote:
If y≠0 and y≠-1, which is greater,

(1) x≠0
(2) x > y

Do I miss something in this question or there is some error? :?

Yeah sorry, I had posted the incomplete question, here you go:

If y≠0 and y≠-1, which is greater,

x/y or x/y+1 ?

(1) x≠0
(2) x > y
Senior Manager
Joined: 20 Feb 2007
Posts: 265
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Kudos [?]: 4 [0], given: 0

If y≠0 and y≠-1, which is greater: x/y or x/y + 1?

(1) x≠0
(2) x > y

I got D. Both statements are SUFF alone. Am I correct?
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Summer3 wrote:
If y≠0 and y≠-1, which is greater: x/y or x/y + 1?

(1) x≠0
(2) x > y

I got D. Both statements are SUFF alone. Am I correct?

Yes, (D) it is

Notice that I want to respond (F) : no need statment, the question is always correct by itself

If we set, B = x/y, then we are asked : B+1 > B ? ... Of course, it's always true (property of an addition with a positive number) ! :D
Senior Manager
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Quote:
we are asked : B+1 > B ? ... Of course, it's always true (property of an addition with a positive number)

Yes!! that's right!

Even if we take negative integers, this stands TRUE.
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