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Some Questions?

Expert replies
by angela419 » Thu Apr 22, 2010 1:04 am
Hi all, I'm new here, hopefully I'm following protocol in posting questions...

I'm doing the problems downloaded from mba.com, so I'm sure people might have seen these before. These 3:

#1. In a stack of board at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?

(I did this one by just drawing out 20 boards from the top and 16 from the bottom and ended up getting the right answer, but I wanted to see if there was a more mathematical way to do this?)

ans choices:
38
36
35
34
32

#2. The residents of town X participated in a survey to determine the # of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?

ans choices:
30
20
18
12
6

#3. If (1/5)^m * (1/4)^18 = 1/(2*(10^35)), then m=?

ans choices:
17
18
34
35
36
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Source: — Problem Solving |

by ajith » Thu Apr 22, 2010 1:23 am
angela419 wrote:Hi all, I'm new here, hopefully I'm following protocol in posting questions...

I'm doing the problems downloaded from mba.com, so I'm sure people might have seen these before.
Hi Angela,

First of all, welcome to BTG! I am sure you will find this place very useful!

Talking about protocols, we do not have many of them but,
1. Please post 1 question per thread - It will make it very easy to track and the chaos in the thread will be much less
2. Please do a search before you post - As you have rightly pointed out it is very likely that these questions are discussed already. You can either use the advanced search or you can use the search box on Top right corner.

Thanks,
Ajith
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by sanju09 » Thu Apr 22, 2010 1:30 am
Hi all, I'm new here, hopefully I'm following protocol in posting questions...

I'm doing the problems downloaded from mba.com, so I'm sure people might have seen these before. These 3:

#1. In a stack of board at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?

(I did this one by just drawing out 20 boards from the top and 16 from the bottom and ended up getting the right answer, but I wanted to see if there was a more mathematical way to do this?)
ans choices:
38
36
35
34
32
Sure angela419, we can play with the numbers here. Take 1 out from each number and add.

You can take small numbers to cross check the quick MANTRA

Suppose we are talking about the 5th plate in the following stack of 6:

P1
P2
P3
P4
P5
P6

We can say that the 5th plate counting from the top of the stack is immediately below the 3rd plate counting from the bottom of the stack, and (5 - 1) + (3 - 1) = 6, and it's so!

[spoiler]D[/spoiler]

Please post one question per thread, and please wait for the explanations one at a time
Last edited by sanju09 on Thu Apr 22, 2010 1:34 am, edited 1 time in total.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by eaakbari » Thu Apr 22, 2010 1:33 am
IMO

1-34
2-12
3-35
Whether you think you can or can't, you're right.
- Henry Ford
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by sanju09 » Thu Apr 22, 2010 2:14 am
#2. The residents of town X participated in a survey to determine the # of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?

ans choices:
30
20
18
12
6
Please understand the meaning of this term, "1 and/or 2 standard deviations below the mean", which is frequently used by GMAT while presenting a Standard Deviation Problem on test.

If m is mean and d is the standard deviation of any data, then the value 1 standard deviation below the mean will be given by m - d and the value 2 standard deviations below the mean will be given by m - 2 d. The question is asking about the value that could lie between the two values videlicet m - d and m - 2 d.

We have m = 21 and d = 6, therefore m - d = 21 - 6 = 15 and m - 2 d = 21 - 12 = 9, and the number between 9 and 15 in the choices is [spoiler]12 only.

D
[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion

by sanju09 » Thu Apr 22, 2010 2:31 am
#3. If (1/5)^m * (1/4)^18 = 1/(2*(10^35)), then m=?

ans choices:
17
18
34
35
36
If (1/5)^m * (1/4)^18 = 1/(2*(10^35)), then

(1/5)^m = 1/(2*(10^35))/ (1/4)^18,

or (1/5)^m = 4^18/(2*(10^35)),

or (1/5)^m = 2^36/(2*(2^35*5^35)),

or (1/5)^m = 2^36/(2^36*5^35),

or (1/5)^m = 1/(5^35),

or m = [spoiler]35.

D
[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion

by sanju09 » Thu Apr 22, 2010 10:48 pm
While giving the reference-thread to a problem that has been previously discussed on this forum, please make sure if the problem in the reference-thread is discussed to the bare minimum satisfaction of a common bookworm.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion

by frank1 » Sat Apr 24, 2010 4:06 am
i got 34 of first
got 35 of 3 in almost 3.5 minutes

2 bumped....lol
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by ajith » Sat Apr 24, 2010 7:06 am
sanju09 wrote:While giving the reference-thread to a problem that has been previously discussed on this forum, please make sure if the problem in the reference-thread is discussed to the bare minimum satisfaction of a common bookworm.
Well, if it is discussed unsatisfactorily the user have 2 options
1. Continue the discussion in the relevant thread
2. Start a new thread - one question per thread

The aforementioned example is only to indicate the functionality of search and not to demonstrate its effectiveness. Talking about effectiveness having 5 threads discussing the same question is a little less effective , you see!
Always borrow money from a pessimist, he doesn't expect to be paid back.
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