other ps problems

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alltimeacheiver: Master | Next Rank: 500 Posts; Posts: 183; Joined: Wed Feb 09, 2011 3:08 amFollowed by: 5 members; Location: Delhi; Thanked: 1 times

by alltimeacheiver » Wed Feb 16, 2011 10:35 pm

ques 1 tere are cogs around the circumference of a wheel and a each cog is pie/16 wide with space of pie/16 centimenter between consecutives cogs, fit on a wheel with a diameter6 centimeters?

ques 2 if each prodection lot for a certain toy, 25 percent of the toys are red and 75 percent are blue. half of the tiys are size a and half are size b. if 10 out every 100 toys are red, how many of the toys are blue and size b

ques 3 if 2x+5y=8 and 3x=2y, what is the vaalue of 2x+3y?

ques 4 A ladder of 25 feet long is leaning against a wall that is perpendicular to the level ground. The bottom of ladder is 7 feet from the base of the wall. If the top of the ladder slips down a feet, how many will be the bottom of ladder slip?

ques 5 what is the least integer possible prodeuct of 4 different integers, each of has value between -5 and 10 inclusive

I got ANS -720 BUT THE AND IS -3600. HOW

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Source: Beat The GMAT — Problem Solving | Wed Feb 16, 2011 10:35 pm

Geva@EconomistGMAT: GMAT Instructor; Posts: 905; Joined: Sun Sep 12, 2010 1:38 amFollowed by: 123 members; Thanked: 378 times; GMAT Score:760

by Geva@EconomistGMAT » Thu Feb 17, 2011 1:07 am

alltimeacheiver wrote:ques 1 tere are cogs around the circumference of a wheel and a each cog is pie/16 wide with space of pie/16 centimenter between consecutives cogs, fit on a wheel with a diameter6 centimeters?

ques 2 if each prodection lot for a certain toy, 25 percent of the toys are red and 75 percent are blue. half of the tiys are size a and half are size b. if 10 out every 100 toys are red, how many of the toys are blue and size b

ques 3 if 2x+5y=8 and 3x=2y, what is the vaalue of 2x+3y?

ques 4 A ladder of 25 feet long is leaning against a wall that is perpendicular to the level ground. The bottom of ladder is 7 feet from the base of the wall. If the top of the ladder slips down a feet, how many will be the bottom of ladder slip?

ques 5 what is the least integer possible prodeuct of 4 different integers, each of has value between -5 and 10 inclusive

I got ANS -720 BUT THE AND IS -3600. HOW

you forgot to include the fourth number -5 to make the whole thing negative: 10*9*8*-5 = 720*-5 = -3600

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu Feb 17, 2011 1:17 am

Q1.

Circumference of wheel = (pi)* diameter = 6(pi)
Total space for each cog = (pi)/16 + (pi)/16 = (pi)/8
Number of cogs that would fit on the wheel with diameter 6 cm = 6(pi) / (pi)/8 = 48

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu Feb 17, 2011 1:51 am

Q3.

2x + 5y = 2x + 5(3x/2) = 8 or x = 16/19
2x + 3y = 8 - 2y
2x + 3y = 8 - 3x = 8 - 3 * 16/19 = [spoiler]104/19[/spoiler]

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu Feb 17, 2011 1:52 am

Q4.

Ht. of the wall = âˆš(625 - 49) = âˆš576 = 24 ft
When the ladder slips by 1 ft, ht of the wall = 24 - 1 = 23 ft
Then (25)^2 = (23)^2 + (7 + x)^2
625 = 529 + 49 + x^2 + 14x
x^2 + 14x - 47 = 0, which can be solved further to get x.
I don't think the question is giving the correct values, something is missing, check it at your end please.

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ankur.agrawal: Master | Next Rank: 500 Posts; Posts: 261; Joined: Wed Mar 31, 2010 8:37 pmFollowed by: 3 members; Location: Varanasi; Thanked: 11 times

by ankur.agrawal » Thu Feb 17, 2011 3:15 am

alltimeacheiver wrote:ques 1 tere are cogs around the circumference of a wheel and a each cog is pie/16 wide with space of pie/16 centimenter between consecutives cogs, fit on a wheel with a diameter6 centimeters?

ques 2 if each prodection lot for a certain toy, 25 percent of the toys are red and 75 percent are blue. half of the tiys are size a and half are size b. if 10 out every 100 toys are red, how many of the toys are blue and size b

ques 3 if 2x+5y=8 and 3x=2y, what is the vaalue of 2x+3y?

ques 4 A ladder of 25 feet long is leaning against a wall that is perpendicular to the level ground. The bottom of ladder is 7 feet from the base of the wall. If the top of the ladder slips down a feet, how many will be the bottom of ladder slip?

ques 5 what is the least integer possible prodeuct of 4 different integers, each of has value between -5 and 10 inclusive

I got ANS -720 BUT THE AND IS -3600. HOW

: 10*9*8 * (-5) = -3600.[/i]

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