GMAT Data Sufficiency Discussions

Here are some more questions I had trouble understanding..

Is k + k - 2 > 0?

(1) k is greater than zero
(2) k is an even integer

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If N is an integer with three prime factors, what is the value of N ?

(1) N is less than 300.
(2) The product of the two largest prime factors of N is 87.

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Here are some more questions I had trouble understanding..

Is k + k 2 > 0?

(1) k is greater than zero
(2) k is an even integer

-----------------------------------------------------------

If N is an integer with three prime factors, what is the value of N ?

(1) N is less than 300.
(2) The product of the two largest prime factors of N is 87.

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For first question my choice is E

Reasoning........
(K+2)(K-1)>0 ie k>-2 or k>1 => k>1

Even considering both options there r many values......

Second Q my choice is B

A=> 15,30,60,many vaues
B=> 87=3*29(since product of 2 higher prime no:)
so obviously 3rd prime factor is 2 ie no:=2*3*29
correct me if i'm wrong.......

Hi.. The answer for Q1 is "C" and for Q2 is "C".. i don't understand why though!



For first question my choice is E

Reasoning........
(K+2)(K-1)>0 ie k>-2 or k>1 => k>1

Even considering both options there r many values......

Second Q my choice is B

A=> 15,30,60,many vaues
B=> 87=3*29(since product of 2 higher prime no:)
so obviously 3rd prime factor is 2 ie no:=2*3*29
correct me if i'm wrong.......
Here are some more questions I had trouble understanding..

Is k + k 2 > 0?

(1) k is greater than zero
(2) k is an even integer

-----------------------------------------------------------

If N is an integer with three prime factors, what is the value of N ?

(1) N is less than 300.
(2) The product of the two largest prime factors of N is 87.

----------------------------------------------------------------


Hi Arch,
for first one
Is k + k 2 > 0?
lets take first statement first
1) k is greater than zero
=> k=1,2,3,4......
if we take k=1 them k + k 2 =0 and if we take k>1 then k + k 2 >0
so alone it is not sufficient

2) K is an even integer => k = -2,2,-4,4 ....
if k = -2 => k + k 2 =0 and if k =2 then k + k 2 >0
so 2nd statement alone is not sufficient

now lets take both together
they say K is greater than zero and k is n even integer

=> k=2,4,6....

then k + k 2 >0

hence it can be answered by both the statement together
Here are some more questions I had trouble understanding..

Is k + k 2 > 0?

(1) k is greater than zero
(2) k is an even integer

-----------------------------------------------------------

If N is an integer with three prime factors, what is the value of N ?

(1) N is less than 300.
(2) The product of the two largest prime factors of N is 87.

----------------------------------------------------------------

For second question...
N is an integer with three prime factors
1) N is less than 300
=> N=2*3*5=30 or n=2*5*7=70 etc etc..
so 1st alone is not sufficient
2) 87=3*29 now as the 3 is one of the largest prime factor the only prime number less than 3 is 2
so => N=2*3*29=174

so second alone is sufficient to answer the question

Thanks a ton! =]

For second question...
N is an integer with three prime factors
1) N is less than 300
=> N=2*3*5=30 or n=2*5*7=70 etc etc..
so 1st alone is not sufficient
2) 87=3*29 now as the 3 is one of the largest prime factor the only prime number less than 3 is 2
so => N=2*3*29=174

so second alone is sufficient to answer the question

Pls frnds need ur help in analysing these q's

1. Lines 'n' and 'p' lie in the xy plane. Is the slope of line 'n' less than the slope of line 'p'?
a) Lines 'n' and 'p' intersact at the point(5,1)
b) The y intercept of line 'n' is greater than y intercept of line'p'.

2. in the xy coordinate plane, the slope of line l is 3/4. Does line l pass through the point (-2/3,1/2)?
a) Line l passes through the point (4,4)
b) Line l passes through the point (-4,-2)

3. On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What is the number of men on the sight seeing tour?
a) On the sight seeing tour, the ratio of the number of children to the number of men was 5/11.
b) The number of women on the sight seeing tour was less than 30.

Pls frnds need ur help in analysing these q's

1. Lines 'n' and 'p' lie in the xy plane. Is the slope of line 'n' less than the slope of line 'p'?
a) Lines 'n' and 'p' intersact at the point(5,1)
b) The y intercept of line 'n' is greater than y intercept of line'p'.

2. in the xy coordinate plane, the slope of line l is 3/4. Does line l pass through the point (-2/3,1/2)?
a) Line l passes through the point (4,4)
b) Line l passes through the point (-4,-2)

3. On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What is the number of men on the sight seeing tour?
a) On the sight seeing tour, the ratio of the number of children to the number of men was 5/11.
b) The number of women on the sight seeing tour was less than 30.

2. is ans C both sufficient.....

by slope intercept form y=mx+b ==>y=3x/4+b
a.Line l passes through the point (4,4) so b=1
and eqn of line is y=3x/4+1 To check
line l pass through the point (-2/3,1/2) substitute in equation and it satisfies...
so a is sufficient.......
b) Line l passes through the point (-4,-2) b=1
and eqn of line is y=3x/4+1 To check
line l pass through the point (-2/3,1/2) substitute in equation and it satisfies...
so b is sufficient.......

3. My choice is E
2W=5C & M=?
a. 11C=5M 3 variables 2 equation ......not sufficient
b. W
taking both M=22W/25 but W=1,2,.....29

Someone to validate my choices.....

Hi guys,

These were some of the mistakes i did in gmatprep2.
Can u guys explain. Please

Inder,

Have a doubt. How can we say that the only factors are the prime factors (that too only once). Why cant the number be 348 (2*2*3*29) or higher ?
If thats the case, shouldnt C be the right choice ? It limits the value to less than 300, ie only 174 qualifies.

Hi guys,

These were some of the mistakes i did in gmatprep2.
Can u guys explain. Please

1. Ans is B

VC in 1995= (100+y)*(100+x)*1000/(100*100)= x+y+xy/100+100

a. xy=20 but we also need x+y so not sufficient.......
b. x+y+xy/100 = 9.2 so sufficient......

2. My choice C

a. gives that no:s in list are either all positive or all r negative but we cant say whether product is +ve or -ve unless the no: of no:s known....
A alone not sufficient......
b.even no:s in list cannot give clear picture eg: list has 2 no: so no: can be (1,-1),(1,1),(-1,-1) so product can be both +ve or -ve
B alone not sufficient......

Taking both we can say the product of no:s in list is positive.........so ans C
Inder,

Have a doubt. How can we say that the only factors are the prime factors (that too only once). Why cant the number be 348 (2*2*3*29) or higher ?
If thats the case, shouldnt C be the right choice ? It limits the value to less than 300, ie only 174 qualifies.


Yes I agree. It just says 3 prime factors. So p^a*q^b*r^c is the general representation for N. So 2^a*3^b*29^c is all that can be infered from 2nd statement alone. It is the 1st statement that says a, b, and c are 1 each.
SO i will go with C as the answer.
1. Ans is B

VC in 1995= (100+y)*(100+x)*1000/(100*100)= x+y+xy/100+100

a. xy=20 but we also need x+y so not sufficient.......
b. x+y+xy/100 = 9.2 so sufficient......

2. My choice C

a. gives that no:s in list are either all positive or all r negative but we cant say whether product is +ve or -ve unless the no: of no:s known....
A alone not sufficient......
b.even no:s in list cannot give clear picture eg: list has 2 no: so no: can be (1,-1),(1,1),(-1,-1) so product can be both +ve or -ve
B alone not sufficient......

Taking both we can say the product of no:s in list is positive.........so ans C


Answer for 2nd question should be E

A. The smallest and largest nos. can not determine the product.
B. Even no. of integers is insufficient. Consider this, there are 4 integers and 3 are -ve and 1 is +ve => product is -ve
if 2 are -ve and 2 are +ve => product is +ve.
Statement A doesn't add any value to B.

Answer:E - Both taken together r not sufficient.
. 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.

Pls help
. 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.
Pls help


Hi Ashish,
is there something hidden in this cause if you take first statement it is enough to tell that that fraction is 1/2
but from second you can not say that how many of remaing three are red.

i am not sure about my reasoning (the words exactly and entirely are a bit confusing here)
Hi Ashish,
is there something hidden in this cause if you take first statement it is enough to tell that that fraction is 1/2
but from second you can not say that how many of remaing three are red.

i am not sure about my reasoning (the words exactly and entirely are a bit confusing here)

sorry Inder,......word missing.......

What fractional part of the total surface area of cube C is red?
(1) Each of 3 faces of C is exactly half red.
(2) Each of 3 faces of C is entirely white.

Pls help........

sorry Inder,......word missing.......

What fractional part of the total surface area of cube C is red?
(1) Each of 3 faces of C is exactly half red.
(2) Each of 3 faces of C is entirely white.


In this case I guess we can answer by using both the statements and fraction comes out to be 1/4 by using both.
correct me if i am wrong
ashishjha100 Says
Pls help........


Hi Ashish,
for your third problem in the attached doc.
If x and y are consecutive odd integers, what is the sum of x and y?
(1) The product of x and y is negative.
(2) One of the integers is equal to 1.
lets take first statement
1) it says product of x and y is -ve
only posibilty is 1 and -1 (as x and y are consicutive odd numbers)
so we can answer it by first statement
noe lets take second
2)one of integer is -1 then other can either be -3 or -1
so we can answer it by second alone

so answer will be A i.e it can be answered by 1 alone.
someone please correct me if i am not correct
In this case I guess we can answer by using both the statements and fraction comes out to be 1/4 by using both.
correct me if i am wrong

Ans is correct......