New Question:
A home owner must pick between paint A, which cost $6 per liter, and paint B, which cost $4.5 per liter. Paint B takes one-third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply?
1. The ratio of the area covered by 1 liter of paint A to the area covered by 1 liter of paint B is 4:3.
2. Paint A will require 40 liters of paint and 100 hours of labor.
New Question:
A home owner must pick between paint A, which cost $6 per liter, and paint B, which cost $4.5 per liter. Paint B takes one-third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply?
1. The ratio of the area covered by 1 liter of paint A to the area covered by 1 liter of paint B is 4:3.
2. Paint A will require 40 liters of paint and 100 hours of labor.
Total cost paid by the home owner to use a paint =
(No. of litres of paint*cost of paint per litre) +
(No. of hrs of labor* cost of labor at the rate of per hour)
By the given info,
If Paint takes x hours to apply then Paint B then takes 4x/3 hours to apply.cost of Paint A per litre is $6 and cost of Paint B per litre is $4.5.
Statement 2:
Total cost paid by the home owner to use Paint A=(40*6)+(100*36)=$3840
now, we know the no. of hours taken by A to apply so we can find the no. of hours taken by B= (4*100)/3 hrs
Knowing this we can find= no of hrs of labor*cost of labor at the rate of per hour= (4*100*36)/3=$4800
Now, we do not know the no of litres required by B. but the given info is sufficient to answer the ques that which of the paint is cheaper.
Total cost paid by the homeowner to use to Paint B= 4800+ (4.5*y litres of paint).
this tells that whatever be no of litres of paint B is reqd.the total cost will be definitely greater than $4800 that is Paint B is expensive than Paint A.
So Statement 2 is suffficeint to answer.
Statement 1:
well, i'm not sure about this statement. somebody else has to confirm about this statement.
But what i think is Statement 1 is insufficient.it doesn't tell the total no of litres reqd to paint and neither no of hours reqd.
So, answer is B.
Ple do tell what's the OA and if my sol is wrong/incomplete.
ThankYou.
Regards,
Neha
New Question:
A home owner must pick between paint A, which cost $6 per liter, and paint B, which cost $4.5 per liter. Paint B takes one-third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply?
1. The ratio of the area covered by 1 liter of paint A to the area covered by 1 liter of paint B is 4:3.
2. Paint A will require 40 liters of paint and 100 hours of labor.
IMO Ans D ...
St1 : consumption of paint is inversely proportional to area covered ..
Hence, qty of paint A : B = 3:4 and cost ratio is 6:4.5 i.e 4:3
Hence ratio of total paint cost = 3:4 * 4*3 = 1:1 i.e irrespective of qty required, cost for both paints is going to be same ...
And we already know that cost of labour for paint B is higher, so total cost of paint B is higher ...( i am assuming that it is not a ideal scenario and walls take atleast some time to be painted , so cost of labour is involved
)Sufficient ..
St 2 : i agree with neha's analysis ...sufficient ...
Ans D ..
New Question:
A home owner must pick between paint A, which cost $6 per liter, and paint B, which cost $4.5 per liter. Paint B takes one-third longer to apply than paint A. If the home owner must pay the cost of labor at the rate of $36 per hour, which of the two paints will be cheaper to apply?
1. The ratio of the area covered by 1 liter of paint A to the area covered by 1 liter of paint B is 4:3.
2. Paint A will require 40 liters of paint and 100 hours of labor.
Total cost = cost of painting + Labor cost
Labor cost DIRECTLY proportional to no.of hrs working
Statement 1:
==========
1litre of A will cover 4m whereas 1litre of B will cover only 3m.So to cover equal areas we require 4/3 litre of paint B.
4m = 1Litre of A = 4/3 Litre of paint B.
Total cost for A = 1*6 + Labor cost of A
Total cost for B = 4/3*4.5 + Labor cost of B
From this we can say that Labor cost of B > Labor cost of A since paint B will take longer time to get applied.
Statement 1 is suff
Statement 2:
==========
'x' m of area can be painted with 40litres of A and 100hrs of Labor.Paint B will also consume more litres at the sametime will also consume more labor.So this will increase the total cost for B.
Statement 2 alone is suff.
I will go with option D
Q. Is x^4 + y^4 > z^4 ?
a) x^2 + y^2 > z^2
b) x+ y > z
Q. Is x^4 + y^4 > z^4 ?
a) x^2 + y^2 > z^2
b) x+ y > z
statement 1:
==========
X^2 + Y^2 > Z^2.
putting values we get x ^4 + y^ 4 > z^4.
so statement 1 is suff
statement 2:
==========
x+y > z. This will not gurantee that x^4 + y^4 > z^4. in suff
I will go with option 1 for the above DS
statement 1:
==========
X^2 + Y^2 > Z^2.
putting values we get x ^4 + y^ 4 > z^4.
so statement 1 is suff
statement 2:
==========
x+y > z. This will not gurantee that x^4 + y^4 > z^4. in suff
I will go with option 1 for the above DS
Hey!
Even I marked option A
GMAT prep says - E
Enlighten?
self-delete. Redoing and will post the actual analysis from my side.
Q. Is x^4 + y^4 > z^4 ?
a) x^2 + y^2 > z^2
b) x+ y > z
statement 1:
==========
X^2 + Y^2 > Z^2.
putting values we get x ^4 + y^ 4 > z^4.
so statement 1 is suff
statement 2:
==========
x+y > z. This will not gurantee that x^4 + y^4 > z^4. in suff
I will go with option 1 for the above DS
Hey!
Even I marked option A
GMAT prep says - E
Enlighten?
got it now!
Choose x, y and z so that each of x,y is individually less than z. Ex: x=5 y=5 z=7 .....
50>49
but 625 + 625
so we cant be sure from A
cant be sure from B
Combining:: x=5 y=5 z=7 .. x^4 + y^4 x= 4 y= 8 z =3... x^4 + y^4 > z^4
Ans (E)
Help me with following question-
What is the remainder of a positive integer N when it is divided by 2?
- N contains odd numbers as factors
- N is a multiple of 15
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
[QUOTE=Total cost = cost of painting + Labor cost
Labor cost DIRECTLY proportional to no.of hrs working
Statement 1:
==========
1litre of A will cover 4m whereas 1litre of B will cover only 3m.So to cover equal areas we require 4/3 litre of paint B.
4m = 1Litre of A = 4/3 Litre of paint B.
Total cost for A = 1*6 + Labor cost of A
Total cost for B = 4/3*4.5 + Labor cost of B
From this we can say that Labor cost of B > Labor cost of A since paint B will take longer time to get applied.
Statement 1 is suff
Statement 2:
==========
'x' m of area can be painted with 40litres of A and 100hrs of Labor.Paint B will also consume more litres at the sametime will also consume more labor.So this will increase the total cost for B.
Statement 2 alone is suff.
I will go with option D
Thanks Neha, Bhavin and Deepak.
The answer is E.
My first analysis, I was inclined to go with C.
Bhavin, Deepak both of you are correct for statement 1.
Neha for St2.
Hence the answer should be D.
Help me with following question-
What is the remainder of a positive integer N when it is divided by 2?
- N contains odd numbers as factors
- N is a multiple of 15
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
statement 1:
==========
lets take the case of 4 - 1,2,4 & 9 - 1,3,9.So nt suff
statement 2:
==========
lets take the case of 15,30.So insuff
Even after combining also we can't tell for sure the remainder .
225 - 9 factors
900 - 27 factors.
I will go with option E
Help me with following question-
What is the remainder of a positive integer N when it is divided by 2?
- N contains odd numbers as factors
- N is a multiple of 15
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
---------------------------------------------------------------
Stat 1: Factors can be 1, 3, 5, 7.........
Hence the number is odd. When divided by 2 will leave a remainder of 1.
Now special case is 1 where it can be represented as 2(0) + 1. Hence you still get a remainder.
Sufficient
Stat 2: N can be 15, 30, 45, 60......
So the remainder can be 0 or 1
Not sufficient
I will go with A.
Let me know the OA.
I also thought the same way...but OA is Option 'E'... The reasoning given is..
"Simply because "N contains odd numbers as factors" does not mean that all of N's factors are odd. Consequently, it is entirely possible that N contains an even factor, in which case N is even and N is divisible by 2."
OA is Option 'E'... The reasoning given is..
"Simply because "N contains odd numbers as factors" does not mean that all of N's factors are odd. Consequently, it is entirely possible that N contains an even factor, in which case N is even and N is divisible by 2."
What should be the answer of the following-
x is an integer and x raised to any odd integer is greater than zero; is w - z greater than 5 times the quantity 7x-1 - 5x?
- z
- x = 4
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
What should be the answer of the following-
x is an integer and x raised to any odd integer is greater than zero; is w - z greater than 5 times the quantity 7x-1 - 5x?
- z
- x = 4
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. EACH statement ALONE is sufficient. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
IMO A
Question gives - x raised to odd int is +ve. Hence we can conclude that x is positive.
A:
We need to find whether w - z > 5(7x-1-5x)
i.e. (7x - z) > (10x - 5) where
taking positive values of x for example x=1, x=5 we find that the condition results in FALSE.
hence A is sufficient.
B: x=4 doesn't provide values of w and z. hence insuficient.
sorry buddy..the question is about exponents...its 7 to the power x-1(7^x-1) and 5 to the power x (5^x).
The question is...
x is an integer and x raised to any odd integer is greater than zero; is w - z greater than 5 times the quantity 7^x-1 - 5^x?
- z
- x = 4
I'm very sorry..that was a copy-paste mistake.
sorry buddy..the question is about exponents...its 7 to the power x-1(7^x-1) and 5 to the power x (5^x).
The question is...
x is an integer and x raised to any odd integer is greater than zero; is w - z greater than 5 times the quantity 7^x-1 - 5^x?I'm very sorry..that was a copy-paste mistake.
- z
- x = 4
To check : w-z>5(7^x-1 - 5^x)
Statement 1:
let x=1 and z=4 , w=7
put the values in w-z>5(7^x-1 - 5^x)
this gives 3>-25
similiarly, put x=2 and z=5, w=14 we get 9>-90
To confirm, put diff values, x=7 and z=7,w=49 we get
49-7
Statement 2:
x=4 doesn't tell anything. no ifo about w and z. so statement 2 is also Insufficient.
Using both statement 1 and 2 we have fixed definite value of x=4. use it with diff vales of z to confirm the answer
x=4, z=20,w=28 we get- 28-20shows w-z is not greater than 5(7^x-1 - 5^x)
x=4, z=2,w=28 we get 28-2shows w-z is not greater than 5(7^x-1 - 5^x)
But, we still can't confirm the answer. since we are given, z
so taking -ve values of z we have,
z= -1 and x=4, w=28 we get 28-(-1)shows w-z is not greater than 5(7^x-1 - 5^x)
now if we take z= -1071 and x=4, w=28
we get 28-(-1071)>5(7^3 - 5^3)
shows w-z is greater than 5(7^x-1 - 5^x)
Hence, answer is E.
Regards,
Neha
sorry buddy..the question is about exponents...its 7 to the power x-1(7^x-1) and 5 to the power x (5^x).
The question is...
x is an integer and x raised to any odd integer is greater than zero; is w - z greater than 5 times the quantity 7^x-1 - 5^x?
- z
- x = 4
I'm very sorry..that was a copy-paste mistake.
Is it C?
Question gives,
x is +ve, is (w-z)> 5( 7^(x-1)-5^x) ?
1. zis (7^x - z) > 5*7^(x-1) - 5^(x+1)
i.e. (7*7^(x-1) - z) > 5*7^(x-1) - 5^(x+1)
7*7^(x-1) is always greater than 5*7^(x-1) for all +ve x
but unless we know the value of z (whether it is +ve or -ve) we cannot find out whether inequality is TRUE.
i.e. If x is small (e.g. 1), then z being +24 and -24 gives TRUE and FALSE result for the inequality.
2. by itself is not sufficient as it does not give values for w & z
combined: take x = 4 in 1st option, inequality becomes:
2401-z >1715-3125
2401-z> -1410
This is always TRUE for all z