GMAT Problem Solving Discussions

MBA
1448
alchemist-mba Says
Yep - Thanks - I got the same question but wiki misguided me..even now it shows (n+1) .. any ways after referring other manuals i agree with you it is r^n not r^(n+1)... and secondly imn't dopa ;).

Sorrry, a typo error......
1449
For Every integer 'K' from 1 to 10, inlcusive, the kth term of a certain sequence is given by . If T is the Sum of the first 10 terms in the sequence, then T is ?

a) Greater than 2
b) between 1 and 2
c) between 1/2 and 1
d) between 1/4 and 1/2
e) less than 1/4

this is a gmat prep question and the answer which they have given seem to be dubious to me..they have given OA as D. but I wud like to go with A. can nyone explain this ?

The given sequence is a GP of the form -
Simplifying, we get /

(1023/1024)/3
The above fraction is >0.25 and
seems lengthy but if u actually do on paper it will nt tk more than 2 min.
1450

Hello

Please help for this question


The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is
A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm


thanks

1451
Hello

Please help for this question


The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is
A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm


thanks

My pick is D.......wats OA?
1452
Hello

Please help for this question


The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is
A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm


thanks

Is C the OA?
1453
srikanth267 Says
Is C the OA?

I had picked D, but cant explain the OA as "C"
1454
ashishjha100 Says
My pick is D.......wats OA?

I'm sorry for misquoting the OA as A
It's D for me....


least value of side of the sq rounded to 6 cm wud be 5.5 cm
5.5^2=30.25 is the least possible value of the area.

Wats the OA?
wats the explanation?

thanks
1455

Guys - any take on this -

4 golphers shot an average (mean) of 3.5 under par the last time they played. What is the lowest possible score (with respect to par) if no one scored worse than 2 over par?

  1. -18
  2. 3.5
  3. -14
  4. -22
  5. -3.5
1456

Some more -


If the median of 10x, 11x, 12x, and 23x is 57.5, what is x?

  1. 5
  2. 12
  3. 11.5
  4. 4.11
  5. 5.75
If the average (arithmetic mean) of a, b, and c in terms of b if a + c = 2b?
  1. b + 2
  2. b/3
  3. 3b
  4. (a+c)/2
  5. b
1457

Find the set of integers whose mean is less than the its median






1458
Some more -



If the median of 10x, 11x, 12x, and 23x is 57.5, what is x?
  1. 5
  2. 12
  3. 11.5
  4. 4.11
  5. 5.75
If the average (arithmetic mean) of a, b, and c in terms of b if a + c = 2b?
  1. b + 2
  2. b/3
  3. 3b
  4. (a+c)/2
  5. b


1. Median of 4 numbers if they are arranged in increasing or decreasing order is (2nd term + 3rd term)/2
Hence 57.5 = (11x + 12x)/2 => x = 5

Answer should be A.

2. Is the question asking about the average, if yes then here it goes -

Average = (a+b+c)/3 = (2b+b)/3 = b

Answer should be E.

What are the OAs ?
1459
Some more -


If the median of 10x, 11x, 12x, and 23x is 57.5, what is x?
  1. 5
  2. 12
  3. 11.5
  4. 4.11
  5. 5.75

If the average (arithmetic mean) of a, b, and c in terms of b if a + c = 2b?
  1. b + 2
  2. b/3
  3. 3b
  4. (a+c)/2
  5. b



1. 1
(11x+12x)/2 = 57.5 => X = 5
2. 5
(a+b+c)/3 = (2b+b)/3 = b
1460
Find the set of integers whose mean is less than the its median






All the sets have 6 integers and all of them have almost similar trend so I am not sure if there is a funda to know as mean or median will be greater.
Otherwise the only option is to calculate the mean and median of all of them.
1461
Find the set of integers whose mean is less than the its median








The Answer would be 5.
1. Mean - 30, Median - 27
2. Mean - 27, Median - 27
3. Mean - 18, Median - 18
4. Mean - 21, Median - 16.5
5. Mean - 18.5, Median - 30
1462
All the sets have 6 integers and all of them have almost similar trend so I am not sure if there is a funda to know as mean or median will be greater.
So, I tried to hit the 3rd option because its mean will be lesser amongst all the option and found that its mean is lesser than median.

Answer should be C.



Well I would have done that too. GMAT plays a lot on Stats concepts including range and standard deviation. Can anybody help provide a funda here.
1463
harneet.m.kaur Says
Well I would have done that too. GMAT plays a lot on Stats concepts including range and standard deviation. Can anybody help provide a funda here.


I just replied to your post with the answer.

an easier(not sure how effective) would be to subtract a number from all the elements of the given set.. (This would change the mean and the median with that number.). this would ease the caluclation part..

subtract 12
0 3 9 21 24 51 --> mean is 18 (reduced by 12), median 15 (reduced by 12)
We can do similar to other sets too... You eventually end up doing calculations for all the sets - but atleast it eases the calculations.

Hope this helps.
1464

The following is a DS question:

x is an integer greater than 7. What is the median of the set of
integers from 1 to x inclusive?
(1) The average of the set of integers from 1 to x inclusive is 11.
(2) The range of the set of integers from 1 to x inclusive is 20.

Here, we dont know if it is a set of consecutive integers. Hence, both the statements given will be insufficient to come up with an answer.
However, the OA is D, since it has been assumed that it is a set of consecutive integers. Why?? How can we assume this, if the word 'consecutive' is nowhere mentioned in the question
With this, I am unable to judge as to when to assume in DS questions and when not to assume..... Can anyone please throw some light on this?

Regards
MSD

1465

x is an integer greater than 7. What is the median of the set of
integers from 1 to x inclusive?
(1) The average of the set of integers from 1 to x inclusive is 11.
(2) The range of the set of integers from 1 to x inclusive is 20.


Just understand the meaning of question and take an example......

Let x=8 then the set of integers from 1 to x inclusive are 1,2,3,4,5,6,7,8........ie they are consecutive....no need to mention the word consecutive and u can solve this question. Hence OA is D itself

Hope this helps.......

1466
The following is a DS question:
x is an integer greater than 7. What is the median of the set of
integers from 1 to x inclusive?
(1) The average of the set of integers from 1 to x inclusive is 11.
(2) The range of the set of integers from 1 to x inclusive is 20.

Here, we dont know if it is a set of consecutive integers. Hence, both the statements given will be insufficient to come up with an answer.
However, the OA is D, since it has been assumed that it is a set of consecutive integers. Why?? How can we assume this, if the word 'consecutive' is nowhere mentioned in the question
With this, I am unable to judge as to when to assume in DS questions and when not to assume..... Can anyone please throw some light on this?


hey msd,

Tricky one...most of us who are cautious of making an assumption would topple over this one. The key word is "to" and "inclusive" is given just to confuse in the sentence - "from 1 to x inclusive". E.g. - You have to do the counting from 1 to 10 inclusive, ofcourse it will be 1,2,3,....,10. So, it is a consecutive sequence.

If the word "to" is replaced by "and" in the mentioned sentence, then for sure we can not assume the numbers as consecutive.

Cheers!
1467

It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in 1/x hours. If machine A operates alone for y hours and is then joined by machine B until 100 decks are finished, for how long will the two machines operate simultaneously?

(100y - x)

(x2 + 1)

(100x - y)

(x2 + 1)

(100y - x3 - x)

(x2 + 1)

(100y - x2y - y)

(x2 + 1)

(100x)

(x2 + 1)

Note:- x2 = x^2; x3 = x^3; x2y = (x^2)*y