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Four Problem Solving Questions from OG 12 [#permalink]
08 Apr 2009, 14:43

1

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A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

50% (00:00) correct
50% (00:00) wrong based on 2 sessions

If you know how to solve the following questions and you know how to explain your answers, please let me know. Thanks!

--------------------------------------------------------------------------------------------- 1) When positive integer x is divided by positive y, the remainder is 9. If x / y = 96.12, what is the value of y? a)96 b)75 c)48) d)25 e)12 The correct answer is: B -------------------------------------------------------------------------------------------------------- 2) If t = (1) / (2^9 * 5^3) is expressed as a terminating decimal, how many zeros will t have between the decimal point and the fist nonzero digit to the right of the decimal point? a)Three b)Four c)Five d)Six e)Nine The correct answer is: B -------------------------------------------------------------------------------------------------------- 3) If x, y, and k are positive numbers such that (x / x+y)(10) + (y / x+y)(20) = k and if x<y, which of the following could be the value of k?

a)10 b)12 c)15 d)18 e)30 The correct answer is: D ------------------------------------------------------------------------------------------------------ 4)For any positive integer n, the sum of the fist n positive integers equals (n(n+1)) / 2. What is the sum of all even integers between 99 and 301? a)10,100 b)20,200 c)22,650 d)40,200 e)45,150

Re: Four Problem Solving Questions from OG 12 [#permalink]
12 Apr 2009, 19:29

GMAT_700 wrote:

If you know how to solve the following questions and you know how to explain your answers, please let me know. Thanks!

--------------------------------------------------------------------------------------------- 1) When positive integer x is divided by positive y, the remainder is 9. If x / y = 96.12, what is the value of y? a)96 b)75 c)48) d)25 e)12 The correct answer is: B --------------------------------------------------------------------------------------------------------

Re: Four Problem Solving Questions from OG 12 [#permalink]
12 Apr 2009, 19:44

GMAT_700 wrote:

If you know how to solve the following questions and you know how to explain your answers, please let me know. Thanks!

-------------------------------------------------------------------------------------------------------- 2) If t = (1) / (2^9 * 5^3) is expressed as a terminating decimal, how many zeros will t have between the decimal point and the fist nonzero digit to the right of the decimal point? a)Three b)Four c)Five d)Six e)Nine

2^9*5^3=2^6*10^3

1/2^9=0.01... 1/10^3=0.001 0.01*0.001=0.00001 Answer: B.

Re: Four Problem Solving Questions from OG 12 [#permalink]
12 Apr 2009, 20:22

2

This post received KUDOS

GMAT_700 wrote:

If you know how to solve the following questions and you know how to explain your answers, please let me know. Thanks!

------------------------------------------------------------------------------------------------------ 4)For any positive integer n, the sum of the fist n positive integers equals (n(n+1)) / 2. What is the sum of all even integers between 99 and 301? a)10,100 b)20,200 c)22,650 d)40,200 e)45,150

301-99=203 elements => 202/2=101 of them are even (99+301)/2=200 - average of these 101 elements the sum: 101*200=20200 Answer: B

Re: Four Problem Solving Questions from OG 12 [#permalink]
14 Apr 2009, 19:01

peraspera wrote:

GMAT_700 wrote:

If you know how to solve the following questions and you know how to explain your answers, please let me know. Thanks!

--------------------------------------------------------------------------------------------- 1) When positive integer x is divided by positive y, the remainder is 9. If x / y = 96.12, what is the value of y? a)96 b)75 c)48) d)25 e)12 The correct answer is: B --------------------------------------------------------------------------------------------------------

Re: Four Problem Solving Questions from OG 12 [#permalink]
14 Apr 2009, 19:25

1

This post received KUDOS

tkarthi4u wrote:

peraspera wrote:

GMAT_700 wrote:

If you know how to solve the following questions and you know how to explain your answers, please let me know. Thanks!

--------------------------------------------------------------------------------------------- 1) When positive integer x is divided by positive y, the remainder is 9. If x / y = 96.12, what is the value of y? a)96 b)75 c)48) d)25 e)12 The correct answer is: B --------------------------------------------------------------------------------------------------------

9/y=12/100 => 9/y=3/25 => 9*25/3=75 Answer: B.

Can you please expalin the problem please?

from the question stem, x/y=qy+9 also from the question stem, x/y=96.12, therefore qy+9=96*100+12 from here we can assume the ratio of 9/y=12/100 or 9/y=3/25 From here y=(9*25)/3 = 75

Re: Four Problem Solving Questions from OG 12 [#permalink]
19 Aug 2010, 06:35

--------------------------------------------------------------------------------------------- 1) When positive integer x is divided by positive y, the remainder is 9. If x / y = 96.12, what is the value of y? a)96 b)75 c)48) d)25 e)12