GMAT Data Sufficiency Discussions

Hi there. Can you help me wit this one-

Does the integer K have a factor p such that 1

4!
2. 13!+2

Hi there. Can you help me wit this one-

Does the integer K have a factor p such that 1

4!
2. 13!+2


Are you sure the questions is 1

K can never be a factor of K.

Anyways, asuming that the questions is correct.

(1) alone is sufficient since any number greater than 1 will have atleast the number K itself as a factor and 1
Consider 13! = 13 X 12 X 11 ... 3 X 2 X 1
Now, 13! + 3 = 3 X (13!/3 + 1)
13! + 4 = 4 X (13!/4 + 1) and so on.
All of these will be divisible by 3,4,5,6,7,8,9,10,11,12.

Hence K in this case will always have a factor between 1 and K^2.

Hence answer is (D). Each statement alone is sufficient.

Hi!
Pls help with this one (with explanation):

If a and b are integers, and a > |b|, is a b a - b?

(1) a
(2) ab 0


Thanks

Hi!
Pls help with this one (with explanation):

If a and b are integers, and a > |b|, is a |b a b?

(1) a
(2) ab 0


Thanks



C

b b )
statement 1 is not enough, stat 2 says either both of same sign unless one of them zero
if a negative and b non positive, we get answer
if a positive and b non negative, we dont get answer.
so stat 1 is required together
C

b b )
statement 1 is not enough, stat 2 says either both of same sign unless one of them zero
if a negative and b non positive, we get answer
if a positive and b non negative, we dont get answer.
so stat 1 is required together

Hi Dumbjoe,

grazie!, si!

I can't understand why this website (starting with M...AT) is giving the answer as (E)

Edited:

After reworking the problem with Examples I realised my mistake:

In condition b; If we take ab
Hence I think these guys are right in saying (e).

i overlooked this in my haste although should have realized while jotting down the explanation

Here are a few questions:

1) 3.2@#6 : If @ and # each represent single digits in the given decimal, what digit does @ represent?
(1) When the decimal is rounded to the nearest tenth, 3.2 is the result.
(2) When the decimal is rounded to the nearest hundredth, 3.24 is the result.

2) What is the value of integer n?
(1) n(n+1) = 6
(2) 2^2n = 16

3) In triangle ABC, Angle A = x, Angle B = y, Angle C = z (All in degrees). What is the value of z?
(1) x + y = 139
(2) y + z = 108

4) What is the value of xy?
(1) y = x + 1
(2) y = x^2 + 1

5) Is rst = 1?
(1) rs = 1
(2) st = 1

6) If a,b,c are integers, is a-b+c greater than a+b-c?
(1) b is negative.
(2) c is positive.

7) In the xy plane, does the point (4,12) lie on line k?
(1) The point (1,7) lies on line k.
(2) The point (-2,2) lies on line k.

Is m != n (m not equal to n)?
(1) m + n (2) mn

Here are a few questions:

1) 3.2@#6 : If @ and # each represent single digits in the given decimal, what digit does @ represent?
(1) When the decimal is rounded to the nearest tenth, 3.2 is the result.
(2) When the decimal is rounded to the nearest hundredth, 3.24 is the result.

E)

If rounded to nearest tenth: 3.21-3.24 wud give right answer; So a) not sufficient
If rounded to nearest hundredth 3.24 is the result: Any number from 3.2346 to 3.2436 would give the right answer.

2) What is the value of integer n?
(1) n(n+1) = 6
(2) 2^2n = 16

C)

if n=-3 then -3(-3+1) = 6;
for n=2, 2(2+1)=6 and 2^(2*2)= 16



3) In triangle ABC, Angle A = x, Angle B = y, Angle C = z (All in degrees). What is the value of z?
(1) x + y = 139
(2) y + z = 108

A)

x+y = 139
=> z= 180 - 139

4) What is the value of xy?
(1) y = x + 1
(2) y = x^2 + 1

C)

5) Is rst = 1?
(1) rs = 1
(2) st = 1

E)
I solved with examples;
r=2, s=1/2; rs=1
s=1/2, t=2; st=1
rst =2*1/2*2
However if r=s=t=1 then rst=1

6) If a,b,c are integers, is a-b+c greater than a+b-c?
(1) b is negative.
(2) c is positive.

c)

a-b+c>a+b-c
=> c>b
1. b2. C>0
Both together give right answer

7) In the xy plane, does the point (4,12) lie on line k?
(1) The point (1,7) lies on line k.
(2) The point (-2,2) lies on line k.

C) I drew a diag to find out.
I think the two points which r given in 1 & 2 provide the line & hence both shud be require to give answer whether yes or no.

Is m != n (m not equal to n)?
(1) m + n (2) mn
D)
1. m+n2. If m=n then mnHence m not equal to n

Here are a few questions:

1) 3.2@#6 : If @ and # each represent single digits in the given decimal, what digit does @ represent?
(1) When the decimal is rounded to the nearest tenth, 3.2 is the result.
(2) When the decimal is rounded to the nearest hundredth, 3.24 is the result.

...................................

Finally someone answered! :oha:

Well people for answer refer to Sailor's post.

for question number 2,
2^2n = 16 has only one solution which is n=2, so why we dont need statement A. hence answer should be B

for question number 2,
2^2n = 16 has only one solution which is n=2, so why we dont need statement A. hence answer should be B

You are right.

Thanks for pointing out.

Here are a few questions,

If p is a positive integer, what is the remainder when p is divided by 4?
(1) When p is divided by 8, the remainder is 5.
(2) p is the sum of the squares of two positive integers.

In the xy-plane, at what two points does the graph of y = (x+a)(x+b) intersect the x-axis?
(1) a+b = -1
(2) The graph intersects the y-axis at (0,-6).

If x and y are integers greater than 1, then is x a multiple of y ?
(1) 3y^2 + 7y = x
(2) x^2 - x is a multiple of y.

If the operation # is one of the four operations +, - , * (multiply) and / (divide), is (6 # 2) # 4 = 6 # (2 # 4)?
(1) 3 # 2 > 3
(2) 3 # 1 = 3

Six countries in a certain region sent a total of 75 representative to an internation congress, and no two countries sent the same number of representatives. Of the six countries, if country A sent the second greatest number of representatives, did country A send at least 10 representatives?
(1) One of the six countries sent 41 representatives to the congress.
(2) Country A sent fewer than 12 representatives to the congress.

Each of the students in a certain class received a single grade P, F or I. What percent of students in the class were females?
(1) Of those who received a P, 40% were females.
(2) Of those who received either an F or I, 80% were males.

Need as people as possible to answer as I do not have the answers. These questions are from the Practice Test 1 from GMAC. If someone knows from where I can get the answers to that, do tell me.

Following are answers :
1) d
2)c
3) Didn't get it
4) a
5) a
6) e

Please post ur answers so that we can compare.

Also, following are questions from my side


a)
If x and y are integers between 10 and 99, inclusive, is an integer?
(1) x and y have the same two digits, but in reverse order.
(2) The tens' digit of x is 2 more than the units digit, and the tens digit of y is 2 less than the units digit.

b) Is x less than y
->x-y+1->x-y-1
Thanks in advance,

Kanu

If p is a positive integer, what is the remainder when p is divided by 4?
(1) When p is divided by 8, the remainder is 5.
(2) p is the sum of the squares of two positive integers.

1) A
i) p= 8*a + 5
=> p/4= (8a+5)/4
=> p/4= 4(2a+1) + 1/4
Rem=1
So first option is sufficient

ii) option not sufficient
P = 2^2 + 4^2
P/4= (4+16)/4 ie Remainder 0
However if p = 2^2 + 3^2
P/4= (4+9)/4 ie remainder = 1

Hence A is the right option.

In the xy-plane, at what two points does the graph of y = (x+a)(x+b) intersect the x-axis?
(1) a+b = -1
(2) The graph intersects the y-axis at (0,-6).

2) C
y=x^2 + x(a+b) +ab
i) (a+b) = -1 ; Not sufficient alone
ii) Using the values (0, -6)
-6 = 0 + 0(a+b) + ab
=> ab=-6
ie Not suffieient alone.
For graph to intersect x axis y=0
Using both values
x^2 - x -6 = 0
=> (x-3)(x+2)=0
Hence Answer is c

If x and y are integers greater than 1, then is x a multiple of y ?
(1) 3y^2 + 7y = x
(2) x^2 - x is a multiple of y.

3) A
i) x = 3y^2 + 7y; Sufficient since y > 1
ii) x^2-x = ny
=> x^2 -x - ny=0
Roots = {-1 + Sqrt(1-4ny)}/ 2 &
{-1 - Sqrt(1-4ny)}/ 2
Hence Not sufficient;

If the operation # is one of the four operations +, - , * (multiply) and / (divide), is (6 # 2) # 4 = 6 # (2 # 4)?
(1) 3 # 2 > 3
(2) 3 # 1 = 3

4) e
i) Gives two choice; 3+2>3 & 3*2>3; Hence insufficient
ii) Only one choice 3*1=3 & 3/1=3 ; Hence insufficient.

I am a bit confused in this one. Mathematically the equation given is right for whatever operation we may assign to #. However it is not universally true for option i) & ii), hence E)

PG's please pitch in with yr feed back.

Six countries in a certain region sent a total of 75 representative to an internation congress, and no two countries sent the same number of representatives. Of the six countries, if country A sent the second greatest number of representatives, did country A send at least 10 representatives?
(1) One of the six countries sent 41 representatives to the congress.
(2) Country A sent fewer than 12 representatives to the congress.

5) E
i) 41 rep from country so remaining =34
Country A sends in 2nd highest.
With this combination 4,6,7,8, 9 = 34 A sends in 9 reps
or
With this combination 4,5,7,8,10 = 34 A sends in atleast 10 reps
Hence A not sufficient.

ii) A sends less than 12 reps.
Many combinations possible for A =10 and A(One country may send in 60 reps and remaining 5 send 1, 2,3 4 & 5)
Hence not sufficient

Each of the students in a certain class received a single grade P, F or I. What percent of students in the class were females?
(1) Of those who received a P, 40% were females.
(2) Of those who received either an F or I, 80% were males.

6) E (Guess)
Cannot solve this one.

Guys plz help me out in this....

1.If * denotes a mathematical operation , Does
x*y=y*x for all x and y.
1)For all x and y, x*y=2(x^2+y^2)
2)For all y, 0*y=2y^2

Thanks in advance...........

Guys plz help me out in this....

1.If * denotes a mathematical operation , Does
x*y=y*x for all x and y.
1)For all x and y, x*y=2(x^2+y^2)
2)For all y, 0*y=2y^2

Thanks in advance...........


A

stat 1 is even function as well as symmetric.
for second statement a*b = a^2 + 2b^2 , is one possibility
a can have any functionality and hence function can be asymmetric.

How to subscribe?

Plz post the explanations as well.

1.If the operation * is one of the four Arithmatic operation addition,Subtraction,Multiplication and division.Is (6*2)*4=6*(2*4)
A)3*2>3
B)3*1=3

2..Is z equal to Median of the three positive integers x,yand z.
A)x

Hi Naveen,

I posted the same solution for one more query below and still have the same doubt ...

1. If the operation # is one of the four operations +, - , * (multiply) and / (divide), is (6 # 2) # 4 = 6 # (2 # 4)?
(1) 3 # 2 > 3
(2) 3 # 1 = 3

1) e
i) Gives two choices; 3+2>3 & 3*2>3; Hence insufficient
ii) Gives two choices; 3*1=3 & 3/1=3 ; Hence insufficient.

I am a bit confused with this one. Mathematically the equation given
(6 # 2) # 4 = 6 # (2 # 4) is right for whatever operation we may assign to #. However it is not true for option i) & ii), hence E)

2..Is z equal to Median of the three positive integers x,yand z.
A)x
2 b)
a) x If x=5, y=1, z=6; Median = x
If x=1, y=2, z=3; Median =y
Hence insufficient

b) y=z; If y=z then irrespective of value of x, median has to be y or z
if x=1, y=5, z=5; Median = 5
if x=10 y=5, z=5; Median = 5
Hence B sufficient

Thanks

Sid4CAT Says
How to subscribe?

Hi!

Click on USER CP on top left and subscribe to the threads you want.

ATB