GMAT Data Sufficiency Discussions

Is x - y > r - s?
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6.

Is x y > r s?
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6.



IMO D

expln:

here 1) gives the relation between inequalities. so suff.

here 2) gives values and we can substitute and find out the inequality.So suff.

So D.
Is x y > r s?
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6.



Each statements are individually suff to ans the q

Is x y > r s?
(1) x > r and y s
Suff

(2) y = 2, s = 3, r = 5, and x = 6.

Suff,

Option D

Is x2 y2 a positive number?
(1) x y is a positive number.
(2) x + y is a positive number.

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?
(1) n is the cube of an integer.
(2) n is even.

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

(1) n is the cube of an integer.
Suff ...n = 8 n^2 --> 64 which is also cube of 4

(2) n is even

Squares r 4, 16, 36,64 not suff

Option A

Is x2 - y2 a positive number?
(1) x - y is a positive number.
not suffice

(2) x + y is a positive number.
not suffice

option C

P>S : Vikram Please let me know the aswers
:biggrin:

Is ab positive?
(1) (a+b)2 (2) a = b

What is the standard deviation (SD) of the four numbers p, q, r, s?
(1) The sum of p, q, r and s is 24
(2) The sum of the squares of p, q, r and s is 224

Is ab positive?
(1) (a+b)2 (2) a = b

D

Take 2) here there is no indication of the sign; But since both are +ve or both are -ve the product is always +ve. So suff.

Take 1) let a= -1 and b=2
so we have 1
now take a=2 and b =-1 again the same result and product -ve.

now take a=1 and b=2 here the inequlaity is not satisfied so the values cannot be +ve

now take a=-1 and b=-2 the inequality is not satisfies so the values cannot be both -ve.

So the to satify the ineq the value of ab must always be -ve.
The ans is D




What is the standard deviation (SD) of the four numbers p, q, r, s?
(1) The sum of p, q, r and s is 24
(2) The sum of the squares of p, q, r and s is 224

IMO C.

Take 1) we get the avg, which alone is not suff to calc the SD. so 1) alone is insuff.

Take 2) we have the sum of squares, not suff. So 2) alone is insuff.

Now take both 1) and 2)-- both are suff to calc the SD.

So C.


(I'm not posting the actual calc part; if anyone wants me to post the calc part please let me know)



See my explanation in red.
Is x2 y2 a positive number?
(1) x y is a positive number.
(2) x + y is a positive number.



IMO C

Whats the OA?
If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?
(1) n is the cube of an integer.
(2) n is even.



IMO A.

Here there are limited number of possibilities.

9,16,25,36,49,64,81.

Now from 1) we have only cube here 4^3 and 8^2 => 64 so suff

from 2) we have lots of even numbers.

So A.

Is this a OG 11 question??
Is x y > r s?
(1) x > r and y s
(2) y = 2, s = 3, r = 5, and x = 6.

OA : D
Is x2 y2 a positive number?
(1) x y is a positive number.
(2) x + y is a positive number.

OA: C
If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?
(1) n is the cube of an integer.
(2) n is even.

OA: A
IMO A.

Here there are limited number of possibilities.

9,16,25,36,49,64,81.

Now from 1) we have only cube here 4^3 and 8^2 => 64 so suff

from 2) we have lots of even numbers.

So A.

Is this a OG 11 question??


Sidhharth,
None of these are from OG.

Its B 4 2nd one.. think on line..
xy0
or x>0 & ynow check diff values of x &y.In; both d cases it gives d desired result.

A department manager distributed a number of pens, pencils,
and pads among the staff in the department, with each staff
member receiving x pens, y pencils, and z pads. How many
staff members were in the department?
(1) The numbers of pens, pencils, and pads
that each staff member received were in
the ratio 2:3:4, respectively.
(2) The manager distributed a total of
18 pens, 27 pencils, and 36 pads.

Q23.
At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?
(1) The number of oranges sold at the fruit stand
yesterday was 5 more than the number of
apples.
(2) The total revenue from the sale of apples
at the fruit stand yesterday was $15.00

Q29.
if X>1 and Y>1, is X(2) XY/Y^2-Y
Q32.
Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.

Puys attack these qs.. OAs will follow shortly...

If X and Y are positive integers, is X>Y?
(1) X^2
1). (X^3 * Y^5)/ (X*Y^2) 2). X - |y|

Guys,

To round off numbers in GMAT, which rule is to be followed from the following:
PS: Just mentioning the one i'm doubtful about.

1.9365 rounded off to 100th digit becomes 1.936

or

1.9335 rounded off to 100th digit becomes 1.934

Hope you understand what am i trying to clear here!
In case you don't, here it is:

When digit to be rounded off is 5, look for the digit to the left of it. If thats even, drop 5 and leave the leave the digit to the left unchanged.
(for 1st eg)

If thats odd, drop 5 and increment the previous digit by 1.
(for 2nd eg)

Please help!

A department manager distributed a number of pens, pencils,
and pads among the staff in the department, with each staff
member receiving x pens, y pencils, and z pads. How many
staff members were in the department?
(1) The numbers of pens, pencils, and pads
that each staff member received were in
the ratio 2:3:4, respectively.
Not Suff
(2) The manager distributed a total of
18 pens, 27 pencils, and 36 pads.
Not Suff
add both also not suffice !!! the staff number can be 1 or 2 :biggrin:
Option E

Q23.
At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?
(1) The number of oranges sold at the fruit stand
yesterday was 5 more than the number of
apples.

Not Suff
(2) The total revenue from the sale of apples
at the fruit stand yesterday was $15.00
Not Suff
add both ,not suff !!!
Option E


Q29.
if X>1 and Y>1, is XNot Suff
(2) XY/Y^2-YSuff
Option B

Q32.
Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.

Suff
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.
Suff
Option D

Let Me know if i am wrong ..!!

A department manager distributed a number of pens, pencils,
and pads among the staff in the department, with each staff
member receiving x pens, y pencils, and z pads. How many
staff members were in the department?
(1) The numbers of pens, pencils, and pads
that each staff member received were in
the ratio 2:3:4, respectively.--not sufficient
(2) The manager distributed a total of
18 pens, 27 pencils, and 36 pads.--not sufficient
both combined nt suff.
E

Q23.
At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?
(1) The number of oranges sold at the fruit stand
yesterday was 5 more than the number of
apples.--nt suff
(2) The total revenue from the sale of apples
at the fruit stand yesterday was $15.00--nt suff
combined --nt suff..
E
Q29.
if X>1 and Y>1, is Xnt suff
(2) XY/Y^2-Ysuff
using simple inequalities properties.
B

Q32.
Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.--suff
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.-suff
using venn-diagram.
D

Puys attack these qs.. OAs will follow shortly...

My answers are marked inline.
If X and Y are positive integers, is X>Y?
(1) X^2suff
(2) sqrXnot suff
A
-----------------------------------------------------------------
Is xy
1). (X^3 * Y^5)/ (X*Y^2) insuff
2). X - |y| suff
B

my answers are marked inline.