GMAT Data Sufficiency Discussions

guys, jst to be sure, we have questions fr special eqns in gmat right?

Also if u cud suggest me sources where i could practice quant...

Thanks

As MBAQuest said it is E

n=5p
1) 4p+2n = 10+6r
4p+10p=14p=10+6r
7p=3r+5

2) 7n = 15r+25
35p=15r+25
7p=3r+5

Same equation on both sides. Not known where p and r integers (positive) or can they be even fractions. But cant be zero or negative. They cant be proper fractions (
considering they are only integers -

n=10,p=2,r=3 or n=25,p=5,r=10 satisfy the equation.

Given:
5p = 1n
1r=?

Statement(1): Insufficient: 4p+2n=6r+10
put 2n = 10p, we get, r = (7p-5)/3

Statement(2): Insufficient: 7n = 15r+25
put 7n = 35p, we get, r = (7p-5)/3

Combining: Insufficient. Answer (E)

EACH statement ALONE is sufficient...Answer D

sanjaymss Says
EACH statement ALONE is sufficient...Answer D


please explain how is it D
In a certain store, the price of five pens is equal to the price of a notebook. What is the cost of a ruler in this store?
  1. 1. The cost of four pens and two notebooks is 10 dollars more than the cost of six rulers.
  2. 2. The cost of seven notebooks is 25 dollars more than the cost of 15 rulers.



A) Using statement A one can deduct that 7p-3r=5 (n is the cost of notebook p is cost of pen and r is the cost of ruler,using 5p=n) ,the cost of ruler can not be deducted from this
B) Using statement B one can deduct again that 7p-3r = 5 (using 5p=n) again the question can not be answered

Using both the statement again we can not deduct the answer
Hence the answer to this question is E
Hi,

Once u cancel out (x+2) from both sides, ur actually ruling out the possibility of x=-2 which can be one of the valid solutions

HTH...

The correct answer is C. One can not dismiss x-2 from both the sides as by doing this you are neglecting one solution for the equation
What is the solution for this. Please explain with reasons/steps:

3.If x is positive, is x>3?

(1) (x-1)whole square > 4
(2) (x-2)whole square > 9

a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d. EACH statement ALONE is sufficient.
e. statemet (1) and (2) TOGETHER are NOT sufficient.

A) from this statement one can deduce x>3
B) from this statement one can deduce x>5 which is >3

Hence using both the statement independently can give you the answer . Hence the answer is D

The Answer is E.

Hey came across this DS question.
Can someone please help this out..

What is the value of x + 7?

(1) x + 3= 14

(2) (x + 2)2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

A) from this statement one can deduce x>3
B) from this statement one can deduce x>5 which is > 3

Hence using both the statement independently can give you the answer . Hence the answer is D



The answer should be E. From statement 1 .. u cannot deduce that x >3
consider it this way : (x-1) ^2 > 4 , now if x is negative ..say -6
LHS = 49 which is > 4. consider the case where x is 6 then LHS = 25 >4
HENCE... statement 1 does not gives u a specific value of X for which the equality stands true..x can be both +ve and -ve for which the equality cud have been true..

Similar stands for statement 2,..try wid same values if u want...

so from this both 1 and 2 are not sufficient to say if x > 3

HENCE E.

A should be the answer since if u look at statement 2 , removing the square root will entail x+2=+- 13 that will give 2 different values of x

Hey came across this DS question.
Can someone please help this out..

What is the value of x + 7?

(1) x + 3= 14

(2) (x + 2)2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Hey came across this DS question.
Can someone please help this out..

What is the value of x + 7?

(1) x + 3= 14

(2) (x + 2)2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.


1)
x+3=14
x+7=18

Sufficient

2)
(x+2)^2 = 169
x+2 = 13 or x+2 = -13
x = 11 or x = -15

Not sufficient

Answer A
1)
x+3=14
x+7=18

Sufficient

2)
(x+2)^2 = 169
x+2 = 13 or x+2 = -13
x = 11 or x = -15

Not sufficient

Answer A


Ooops... m so sorry.. the mods did'nt get copy pasted

The ques is :
Q7:
What is the value of x + 7| ?
(1) |x + 3 = 14

(2) (x + 2) ^2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

If r is the remainder when the positive integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number.
(2) When n is divided by 28, the remainder is 3.

Warehouse W's revenue from the sale of sofas was what percentage greater this year than it was last year?

(1) Warehouse W sold 10 percent more sofas this year than it did last year
(2) Warehouse W's selling price per sofa was $30 greater this year than it was last year.

In 1995 Division A of Company X had 4,850 customers. If there were 86 service errors in Division A that year, what was the service-error rate, in number of service errors per 100 customers, for Division B of Company X in 1995?

(1) In 1995 the overall service-error rate for Divisions A and B combined was 1.5 service errors per 100 customers.
(2) In 1995 Division B had 9,350 customers, none of whom were customers of Division A.

In 1995 Division A of Company X had 4,850 customers. If there were 86 service errors in Division A that year, what was the service-error rate, in number of service errors per 100 customers, for Division B of Company X in 1995?

(1) In 1995 the overall service-error rate for Divisions A and B combined was 1.5 service errors per 100 customers.
(2) In 1995 Division B had 9,350 customers, none of whom were customers of Division A.



Data we have is

error rate for A per customer= 86/4850

1) Statement gives let say 100*(Error rate A/Per Customer+ Error Rate B/Per Customer) = 1.5

Since error rate A is given , so can be solved by 1 statement alone

2)Error rate B per customer can be found out = Errors /Number of customers
But we dont have the error data


So Statement 1 solves the problem alone where statement B does not..

Hope i am right ...
In 1995 Division A of Company X had 4,850 customers. If there were 86 service errors in Division A that year, what was the service-error rate, in number of service errors per 100 customers, for Division B of Company X in 1995?

(1) In 1995 the overall service-error rate for Divisions A and B combined was 1.5 service errors per 100 customers.
(2) In 1995 Division B had 9,350 customers, none of whom were customers of Division A.



My choice C. Please confirm
Hey came across this DS question.
Can someone please help this out..

What is the value of x + 7?

(1) x + 3= 14

(2) (x + 2)2 = 169

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Ansewer is A ,as sqrt(number) can be =ve and -ve ,so using statement B the answer can not be found out.
In 1995 Division A of Company X had 4,850 customers. If there were 86 service errors in Division A that year, what was the service-error rate, in number of service errors per 100 customers, for Division B of Company X in 1995?

(1) In 1995 the overall service-error rate for Divisions A and B combined was 1.5 service errors per 100 customers.
(2) In 1995 Division B had 9,350 customers, none of whom were customers of Division A.

The answer is C. To solve this question one needs the number of employees in B which can be found out from statement B . The error rate for B can be deducted using statement A and using the number of employees in B. Both the statement are required to find the answer. Hence answer is C
Warehouse W's revenue from the sale of sofas was what percentage greater this year than it was last year?

(1) Warehouse W sold 10 percent more sofas this year than it did last year
(2) Warehouse W's selling price per sofa was $30 greater this year than it was last year.

Its a warehouse, so assuming CP is same lets say c

year 1 year 2
n 1.1n (n = number of sofas , statement A is not alone sufficient to find the answer)
p p+30 ( p = selling price , Statement B is not alone sufficient to find the answer)

Hence option D,B and A are removed.
now using both the statement together
percentage greater=[ {(p+30)-c}*1.1n - (p-c)*n ] / (p-c)*n
hence using both the statement the answer can be found.
Hence the answer is C

[Assumed that CP is same "c" for both the year otherwise the answer is "E"]