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What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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25 Aug 2011, 13:34
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What is the value of 11^x11^(x+2), where x is the largest integer such that 11^x is a factor of 30,030? A. 1331 B. 1320 C. 121 D. 120 E. 1
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Last edited by Bunuel on 12 Jul 2012, 01:51, edited 2 times in total.
EDITED THE QUESTION.



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Re: Help needed.......Quant [#permalink]
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25 Aug 2011, 13:46
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siddharthvaid wrote: Q. What is the value of 11x11(x^+2) where x is the largest integer such that 11x is a factor of 30030?
a) 1331 b) 1320 c) 121 d) 120 e) 1 By 11(x^+2) do you mean 11* x*x or 11(x*x + 2) ?
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Re: Help needed.......Quant [#permalink]
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25 Aug 2011, 17:10
I think there is some problem with either the values in the ques stem or the ans choices. something is wrong. What is the source of this ques?
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Re: Help needed.......Quant [#permalink]
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25 Aug 2011, 22:06
i saw this questions on the kaplan problem set and am confused as well. am beginning to think that kaplan's questions are diminishing in quality. so first step, I tried to solve for x. x=largest integer so that 11x is a factor of 30,030. See if 30,030 is divisible by 11. IT IS! 11x2730=30,030. Therefore, largest integer of x = 2730. since, 30,030 is a factor of itself. 11x11x^2=11(2730)11(2730^2) = some INCREDIBLY HUGE NUMBER... uhh. something is wrong here kaplan.



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Re: Help needed.......Quant [#permalink]
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25 Aug 2011, 22:10
Might just be an odd one Gr8 . one less question to worry about
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Re: Help needed.......Quant [#permalink]
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25 Aug 2011, 23:53
siddharthvaid wrote: Q. What is the value of 11x11(x^+2) where x is the largest integer such that 11x is a factor of 30030?
a) 1331 b) 1320 c) 121 d) 120 e) 1 siddharthvaid:
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Re: Help needed.......Quant [#permalink]
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31 Aug 2011, 22:51
siddharthvaid wrote: Q. What is the value of 11x11(x^+2) where x is the largest integer such that 11x is a factor of 30030?
a) 1331 b) 1320 c) 121 d) 120 e) 1 The given expression is \(11x  11x^2\) = \(11x (1  x)\) 11x needs to be factor of 30030 and x needs to be the largest integer possible. This means 11x needs to be the largest factor possible. The largest factor of a number is the number itself. The largest factor of 30030 is 30030 = (11 * 2730) x must be 2730 The value of 11x(1x) = 30030*(2729) There is definitely something wrong in the expression, either in the book or in this particular reproduction.
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Re: Help needed.......Quant [#permalink]
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11 Jul 2012, 20:53
Correct expression is 11^x  11^(x+2).
x = 1 => answer is –1320.



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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12 Jul 2012, 01:55
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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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13 Jul 2012, 09:32
11^x  11^(x+2 ) = 11^x(1121)
=> 11^x (120)
given 11^x is a factor of 30030.
the only option which satisfies is 1320 (11 * 120 =1320)



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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14 Jul 2012, 00:53
how did we infer that x=1?



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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14 Jul 2012, 03:32



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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14 Jul 2012, 05:24
Should Be A, I didnt read the questions fully
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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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14 Jul 2012, 05:26



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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01 Oct 2012, 06:21
We have 11 ^ x  11 ^x+2 Simplifying : 11 ^ x  11^x * 11^2 Taking 11^x as common we get : 11^x (1  11^2) > 11^x * 120 The question asks us to find the max. value for x so that 11^x is a factor of 30030 Prime Factors of 30030 are 5 x 3 x 2 x 11 x 7 x 13.. Because 11 appears only once , therefore the maximum value that x can have is 1 .... Using the value of x as 1 and adding it the equation we simplified we get 11 x 120 =  1320 (B)
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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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05 Nov 2012, 04:53
Here 30030/11 gives 2730. This cannot be divided further and hence 11 can have the power of only 1. substituting in the given equation gives the ans 1320.
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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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10 Dec 2012, 06:56
Given x is the largest integer 30030
Find the Value of 11^x  11^(x + 2)
Simplify 11^x  11^(x + 2) we get (11^x)(111^2) > (11^x)(111)(1+11) > (11^x)(10)(12)
Elimination (11^x)(10)(12) 1.From this we know that the value has to be ve 2.The units digit must be a 0.
Hence eliminate options A,C,E. Now we are left with B and D
Look at the equation again (11^x)(10)(12) > (11^x)(120) Now in option D we have 120 this can possible only if x is the above equation is 0. However we are told that 11^X is a factor of 30030. So x has to be greater than 0. Which eliminates the option D.
Answer is B



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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10 Dec 2012, 07:21
maddyboiler wrote: Given x is the largest integer 30030
Find the Value of 11^x  11^(x + 2)
Simplify 11^x  11^(x + 2) we get (11^x)(111^2) > (11^x)(111)(1+11) > (11^x)(10)(12)
Elimination (11^x)(10)(12) 1.From this we know that the value has to be ve 2.The units digit must be a 0.
Hence eliminate options A,C,E. Now we are left with B and D
Look at the equation again (11^x)(10)(12) > (11^x)(120) Now in option D we have 120 this can possible only if x is the above equation is 0. However we are told that 11^X is a factor of 30030. So x has to be greater than 0. Which eliminates the option D.
Answer is B 11^x would be a factor of 30,030 even if x=0, since 11^0=1 and 1 is a factor of every integer. The point is that we are looking for the largest possible value of integer x such that 11^x is a factor of 30,030, which is for x=1. Hope it's clear.
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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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10 Dec 2012, 08:09
Agree. So just to make sure we can see if 30030 is divisible by 11. If it is then we really dont care by how much because we know that x is not 0 now. So the only option we are left with is now B.



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Re: What is the value of 11^x11^(x+2) where x is the largest [#permalink]
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27 Feb 2014, 20:31
30,030 has 11 as a factor So largest value of x possible = 1 Just place x = 1 in the equation 11  1331 = 1320 = Answer = B
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Re: What is the value of 11^x11^(x+2) where x is the largest
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