GMAT Data Sufficiency Discussions

Hey crack this..
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.


choice 1 itself is sufficient to answer the question... I wud hav emarked option A
nuttyvarun Says
choice 1 itself is sufficient to answer the question... I wud hav emarked option A


How is just 1 sufficient to answer the question.
You need both the statements to answer the question.

From 1st statement, we can infer that the two no.s are of different sign. One is positive and the other is negative. You cannot find the sum just from the fact that the product is negative.

From 2nd statement, we can infer that the two no.s can be -1,-3 or -1,1.
This alone cannot answer the question as sum will be -4 or zero.

Using both statement 1 and 2, the first choice (-1,-3) from the second option can be eliminated. So the no.s should be -1,1.
So sum should be zero.

Hence the answer is C.
How is just 1 sufficient to answer the question.
You need both the statements to answer the question.

From 1st statement, we can infer that the two no.s are of different sign. One is positive and the other is negative. You cannot find the sum just from the fact that the product is negative.

From 2nd statement, we can infer that the two no.s can be -1,-3 or -1,1.
This alone cannot answer the question as sum will be -4 or zero.

Using both statement 1 and 2, the first choice (-1,-3) from the second option can be eliminated. So the no.s should be -1,1.
So sum should be zero.

Hence the answer is C.



I got it now. Yes the answer should be A.
The only case when the product of two consecutive odd integers is negative is when the numbers are -1,1.
So 1 alone is sufficient to answer the question.

So the answer should be A.
IF it is / instead of +, then there is no point in discussing this question. :-)

Thanks for clarification....


Your ans was A but??

Thanks Friends .. Official answer is A .. Thanks for expalanation
try this one

. If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.

Thanks Friends .. Official answer is A .. Thanks for expalanation
try this one

. If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.


Ans B ..

St 1 : if N is divisible by 3, k can be 2, 5 or 8 ...not sufficient
St 2 : If N is divisible by 7, k is def 5 ...sufficient ...
Thanks Friends .. Official answer is A .. Thanks for expalanation
try this one

. If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.


from 1 N=4323,4326,4329
from 2 N=4326


so st2 sufficient for ans

I got these questions while practising some free test.. I am very much doubtful about the official answers, please clarify:

i) If m is positive integer, is M odd?
a) 2(M^3) + 2M is divisible by 8
b) M + 10 divisible by 2

My answer is D, as b) is sufficient and for a) I am not able to find any odd number satisying condition.

But Oa is B, I am not sure about the source

ii) is x greater than 1?
x > x^2
-x
Bot hoptions looks same so it should be either d or E
but answer is C

iii) if (x^3)y = 24 what is the value of (x^3)(y^3) - (x^2)(y^2)
(x^3)(y^2)=72
(x^2)(y^2) = 36

b) looks sufficient as xy wil be 6 or -6 but since x3y = 24, so xy . x2 = 24 implies, tat xy should be 6 and not -6

a) looks sufficient as y = 3 and x = 2 so xy = 6

so my answer is d) but OA is A



iii) if (x^3)y = 24 what is the value of (x^3)(y^3) - (x^2)(y^2)
(x^3)(y^2)=72
(x^2)(y^2) = 36

b) looks sufficient as xy wil be 6 or -6 but since x3y = 24, so xy . x2 = 24 implies, tat xy should be 6 and not -6

a) looks sufficient as y = 3 and x = 2 so xy = 6

so my answer is d) but OA is A


For the above q. I guess statement A alone will get u the ans as Statement B talks only square which will not let u conclude anyting.
I got these questions while practising some free test.. I am very much doubtful about the official answers, please clarify:

i) If m is positive integer, is M odd?
a) 2(M^3) + 2M is divisible by 8
b) M + 10 divisible by 2

My answer is D, as b) is sufficient and for a) I am not able to find any odd number satisying condition.

But Oa is B, I am not sure about the source

ii) is x greater than 1?
x > x^2
-x
Bot hoptions looks same so it should be either d or E
but answer is C

iii) if (x^3)y = 24 what is the value of (x^3)(y^3) - (x^2)(y^2)
(x^3)(y^2)=72
(x^2)(y^2) = 36

b) looks sufficient as xy wil be 6 or -6 but since x3y = 24, so xy . x2 = 24 implies, tat xy should be 6 and not -6

a) looks sufficient as y = 3 and x = 2 so xy = 6

so my answer is d) but OA is A


I agree with all your answers ...maybe just a bad source ...

Problem 1 :

St1 : simplifies to /4 = I
Now, (m^2+1) is never divisible by 4, hence m is multiple of 4, hence necessarily even, suffiecient

St2 : its obviously suff ..

Ans D

Problem 2 :

St 1 : x>x^2 ==> 0St 2 : sign changes when u multiply by negative no , hence again x>x^2 ...suff

Ans D

Problem 3:

(x^3)y = 24 hence both are -ve or both are +ve, product is necessarily +ve ....we have to find value of ((x^2)(y^2)(xy-1))

St 1 : we have specific values of x and y ...suff
St 2 : we have specific values of both (x^2)(y^2) and (xy-1) ...hence suff ...

Ans D
Thanks Friends .. Official answer is A .. Thanks for expalanation
try this one

. If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.


If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.

For N to be divisible by 3, K shoulde be 2,5 or 8.

For N to be divisible by 7, the K should be 5.
So 2 alone is sufficient to answer the question.
Thanks Friends .. Official answer is A .. Thanks for expalanation
try this one

. If K is a positive integer less than 10 and N = 4,321 + K, what is the value of K?
(1) N is divisible by 3.
(2) N is divisible by 7.



Lets take only statement 1: In this case k could take up values: 2/5/8
Lets take only statement 2: In this case, we get the unique value of K as 5.

Hence, statement 2 is sufficient.

Hi Please let me know the anser of the following question my answer was C . and OA -B
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse

Hi Please let me know the anser of the following question my answer was C . and OA -B
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse


LetS is spouse,O is oldest and Y is youngest.
y=o+12500
y=s-62500
so 2y+s+o=200000
2y+y-12500+y+62500=200000
4y=200000+12500-62500=150000
y=37500

B alone is suffecient
Hi Please let me know the anser of the following question my answer was C . and OA -B
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse


This is guess is OG question;
Total = 200,000

How much did youngest recieve??

Option A:
Spouse, S = 100,00 and Oldest, O = 25,000, Youngest, Y = ???
NOT SUFF

Option B:
Y1, Y2 = O - 12500
Y1, Y2 = S - 62500

thus,
Y1 + Y2 = O + S - 12500 - 62500
Y1 + Y2 + 75000 = O + S,
O + S - (Y1 + Y2) = 75000,
Y1 = Y2 = 75000/2 = 37500
SUFF

Answer is option B
Hi Please let me know the anser of the following question my answer was C . and OA -B
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse


b alone is sufficient to answer the question. This is a case of two equations and two variables.

Just using the second statement:

x - spouse
y - oldest child
x -62.5k = y +12.5k
x+y +2(x-62.5k) = 200k.
If ab = 1, what is the value of (axb)(ayb)?
(1) ax = by = 2
(2) 2xy = 4

this is easy.. ;)

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?
(1) x is a multiple of 9.
(2) y is a multiple of 25.

If ab = 1, what is the value of (axb)(ayb)?

(1) ax = by = 2
(2) 2xy = 4


D is the answer.

1.XY=2*2/a.b=4
2.XY=2
this is easy.. ;)

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?
(1) x is a multiple of 9.
(2) y is a multiple of 25.


B is the answer.
Y is a multiple of 5*2*7 and X is a multiple of 2*3