GMAT Problem Solving Discussions

answers in bold ..!!


A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?
(3,560 square feet = 1 acre)

A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150

30 * 360 * 605 / 3560
approximating it to~ 30 * 360 * 600 / 3600 ~ 1800 so the answer should be greater than 1800 so :dumb: no answer ....


How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?
(1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12

22 * 3600 /45 * 1160 ~ 22 * 3600 /45 *1200 ~ 22/15 ~ 1.5 sec ..
n answer is :dumb: no answer

please let me know if i am wrong , did it in a hurry :|

1 mile = 1760 yards not 1160 yards

Hi Guys,

I am puzzled with one question which keeps troubling me in GMAT Prep---
It is ---

If the standard deviation and the mean of a set of number is 1.5 and 11.5.
What value is exact 2 standard deviation less than mean??

I have forgotten the answer choices but just need to know how to go about it....

Hi Guys,

I am puzzled with one question which keeps troubling me in GMAT Prep---
It is ---

If the standard deviation and the mean of a set of number is 1.5 and 11.5.
What value is exact 2 standard deviation less than mean??

I have forgotten the answer choices but just need to know how to go about it....


I guess it would be something like, 11.5 - (1.5) - (1.5) = 8.5

11.5 = Mean
1.5 = SD

In layman terms, SD is nothing but the dispersion of data around the MEAN/AVG...

so 1 SD less = Mean - SD
& 2 SD less = Mean - SD - SD = (Mean - 2SD)

you can simply google SD and you might find good information online..

also.. I think my fellow puys would have better conceptual fundas to share.. I am stil learning

Hi frnds,

Have 3 queries as below.

A teacher prepares a test. She gives 5 obj type ques out of which 4 have to be answered.find the total ways of answering if first 2 questions have 3 choices and the last 3 have 4 choices.
A. 255
B. 816
C. 192
D. 100
E. 144

how many 5 digits numbers can be formed using the digits 0,2,3,4 nd 5 when repetition is allowed such that the number formed is divisible by 2 or 5 or both?
A. 100
B. 150
C. 3125
D. 1500
E. 125

10 different letters of an alphabet are given. 2 of these letters follow4ed by 2 digits are used to number the products of a company. in hw many ways can the products be numbered ?
A. 52040
B. 8100
C. 5040
D. 1000
E. 4000.

Bad post!!



A teacher prepares a test. She gives 5 obj type ques out of which 4 have to be answered.find the total ways of answering if first 2 questions have 3 choices and the last 3 have 4 choices.
A. 255
B. 816
C. 192
D. 100
E. 144



There are 2 types of questions :
We need to segregate them for purpose of counting

Diff ways to attempt 4 questions out of 5 are:
1) 2 out of 2 and 2 out of other 3
OR
2) 1 out of 2 and 3 out of other 3

And we know that each of the first 2 kind have 3 ans options and the other 3 have 4 ans option.

So, total count should for each of the above 2 ways is

1) 2C2*3C2*3^2*4^2 = 432
Or
2) 2C1*3C3*3*4^3 = 384

Hence, total = 432+384 = 816

Is this the OA ?
Will attempt the other 2 after sometime ..

how many 5 digits numbers can be formed using the digits 0,2,3,4 nd 5 when repetition is allowed such that the number formed is divisible by 2 or 5 or both?
A. 100
B. 150
C. 3125
D. 1500
E. 125



Are the ans options correct ? Did try to solve, but my answer does not feature in the options ..

in any case, will post my approach ...pls somebody correct fr errors ..

repetition is allowed ..and we are looking at union of 2 and 5 multiples

1) Nos only divisible by 2 = 4*5*5*5*2 =1000( must end in 2 or 4 and shd not begin with 0)

2) Nos only divisible by 5 = 4*5*5*5*1 = 500 (must end in 5 and shd not begin with 0)

3) nos divisible by 2 and 5 = 4*5*5*5*1 = 500 (must end in 0 and shd not begin with 0)

Hence, total = 1000+500+500 = 2000 ...Am i missing something here ?

What is the greatest possible area of a triangle with one vertex at the centre of the circle with radius 1 and other 2 vertices on the circle?

?????

I dunno where my post is lost.. originally I could see 2 posts with same content so I marked one as bad post.. but now I see only the BAD one..

@bhavin422:
I also got the answer as 2000 for the same.. I was confused but left it there..
I did in a little differen way.. let the number be ABCDE
A - 4 ways (excluding 0)
B - 5 ways (0,2,3,4,5)
C - 5 ways (0,2,3,4,5)
D - 5 ways (0,2,3,4,5)
E - 4 ways (excluding 3)

Total ways = 4x5x5x5x5 = 16x125 = 2000 ;)

@Hari-Carpe Diem
answer to 3rd is as below;

2 from 10 letters = 10P2 = 90 ways
2 from 10 number (0 - 9) = 10P2 = 90 ways

thus total ways = 90x90 = 8100


Hi frnds,

Have 3 queries as below.

A teacher prepares a test. She gives 5 obj type ques out of which 4 have to be answered.find the total ways of answering if first 2 questions have 3 choices and the last 3 have 4 choices.
A. 255
B. 816
C. 192
D. 100
E. 144

how many 5 digits numbers can be formed using the digits 0,2,3,4 nd 5 when repetition is allowed such that the number formed is divisible by 2 or 5 or both?
A. 100
B. 150
C. 3125
D. 1500
E. 125

10 different letters of an alphabet are given. 2 of these letters follow4ed by 2 digits are used to number the products of a company. in hw many ways can the products be numbered ?
A. 52040
B. 8100
C. 5040
D. 1000
E. 4000.

nuttyvarun Says
Bad post!!

Are the ans options correct ? Did try to solve, but my answer does not feature in the options ..

in any case, will post my approach ...pls somebody correct fr errors ..

repetition is allowed ..and we are looking at union of 2 and 5 multiples

1) Nos only divisible by 2 = 4*5*5*5*2 =1000( must end in 2 or 4 and shd not begin with 0)

2) Nos only divisible by 5 = 4*5*5*5*1 = 500 (must end in 5 and shd not begin with 0)

3) nos divisible by 2 and 5 = 4*5*5*5*1 = 500 (must end in 0 and shd not begin with 0)

Hence, total = 1000+500+500 = 2000 ...Am i missing something here ?
What is the greatest possible area of a triangle with one vertex at the centre of the circle with radius 1 and other 2 vertices on the circle?

?????


Answer is 1/2 ..

Here is the explanation :
http://www.pagalguy.com/discussions/gmat-problem-solving-discussions-25019823

A teacher prepares a test. She gives 5 obj type ques out of which 4 have to be answered.find the total ways of answering if first 2 questions have 3 choices and the last 3 have 4 choices.
A. 255
B. 816
C. 192
D. 100
E. 144

816 is the right answer !!!
how many 5 digits numbers can be formed using the digits 0,2,3,4 nd 5 when repetition is allowed such that the number formed is divisible by 2 or 5 or both?
A. 100
B. 150
C. 3125
D. 1500
E. 125

I too got 2000, but the site says the answer is 1500 😛
10 different letters of an alphabet are given. 2 of these letters follow4ed by 2 digits are used to number the products a company. in hw many ways can the products be numbered ?
A. 52040
B. 8100
C. 5040
D. 1000
E. 4000.
Got 8100 with the same procedure but site say actual answer 1000. strange.

This is the site http://www.testpreppractice.net/GMAT/Free-GMAT-Practice-Tests/Math-Problem-Solving-1.aspx

What is the greatest possible area of a triangle with one vertex at the centre of the circle with radius 1 and other 2 vertices on the circle?

?????


Area of triangle would be 1/2 r^2 sinx. For area to be max sinx should be max which is 1. So max area will be 1/2 r^2 = 1/2

At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?
(A) $0.30
(B) $0.45
(C) $0.60
(D) $0.75
(E) $0.90
-----------------------------



What is the total number of integers between 100 and 200 that are divisible by 3? (A) 33
(B) 32
(C) 31
(D) 30
(E) 29
-----------------------------

A certain basketball team that has played 2/3 of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3

-----------------------------
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45,000
(B) 360,000
(C) 364,500
(D) 392,000
(E) 396,900
-----------------------------


Month Average Price per Dozen
____________________________________
April | $1.26
May | $1.20
June $1.08



The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18

One more:

A Rectangular Box is ten inches long, ten inches wide and half that in depth. What is the longest possible distance between any two points on this box.

A) 20
B) 25
C) 10 root 2
D) 15
E) 10 root 3

At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?
(A) $0.30
(B) $0.45
(C) $0.60
(D) $0.75
(E) $0.90
-----------------------------



What is the total number of integers between 100 and 200 that are divisible by 3? (A) 33
(B) 32
(C) 31
(D) 30
(E) 29
-----------------------------

A certain basketball team that has played 2/3 of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3

-----------------------------
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45,000
(B) 360,000
(C) 364,500
(D) 392,000
(E) 396,900
-----------------------------


Month Average Price per Dozen
____________________________________
April | $1.26
May | $1.20
June $1.08



The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


not sure if the 1st question is correct ( my ans 1.61).however the answers for the rest are :
a,d,c,e.
one more:

A rectangular box is ten inches long, ten inches wide and half that in depth. What is the longest possible distance between any two points on this box.

A) 20
b) 25
c) 10 root 2
d) 15
e) 10 root 3


(10^2+10^2+5^2)^(1/2)=15
At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?
(A) $0.30
(B) $0.45
(C) $0.60
(D) $0.75
(E) $0.90
-----------------------------



What is the total number of integers between 100 and 200 that are divisible by 3? (A) 33
(B) 32
(C) 31
(D) 30
(E) 29
-----------------------------

A certain basketball team that has played 2/3 of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3

-----------------------------
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45,000
(B) 360,000
(C) 364,500
(D) 392,000
(E) 396,900
-----------------------------


Month Average Price per Dozen
____________________________________
April | $1.26
May | $1.20
June $1.08



The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18



Q-1 1.61 .No option in the answer( even I was surprised when I took theTest and found this question as wrong...). Any puy pls help if he finds the answer in the option.

Q-2 No. of integers between two no.s={(198-102)/3}+1=33

Q-3 2/3 of x(total games)=17+3=20
x=30
team has already played 2/3 of 30 =20 games
remaining are 10 games
atleast 3/4 of 30=22.5 games to win.take it as 23 games.

7 games total lost. 3 are already lost.
So max 4 games the team can loose.

Q-4 Please some puy help in solving it.

Q-5
eggs sold in may=x
eggs sold in april=2/3 of x=2x/3
eggs sold in june=2(2x/3)=4x/3

Av price over 3 mnths=x(1.2)+(2x/3)*(1.26)+(4x/3)*(1.08 )=3.48x

No. of eggs sold over 3 mnths=3x

Av price per dozen over 3 mnths=1.16

Here is my take:

1. No ans matching the options
2.33
3.4
4.solving it.
5.1.16

Ans for the question no 4)

C) 364,500

One more:

A Rectangular Box is ten inches long, ten inches wide and half that in depth. What is the longest possible distance between any two points on this box.

A) 20
B) 25
C) 10 root 2
D) 15
E) 10 root 3



Itz : Square root of (10^2 +10 ^2 + 5^2) --> 15 :biggrin: