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If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10 [#permalink]
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18 Jul 2016, 02:13
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If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10n, then what is the value of T? 1) \(\sqrt{A*10^m}=23100\) 2) \(nm=7\) Like always: Kudos if you like.
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Re: If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10 [#permalink]
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18 Jul 2016, 02:36
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Option C)
If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10n, then what is the value of T?
From stat 1: Values of A & m can be retrieved. But we dont know the value of n. Hence not suff.
From stat 2: We dont know the value of A. Hence not suff.
1 + 2: We have the value of A & n. A = (2.31)^2, m = 8, n = 15. T = (2.31) x 10^15. Hence, Sufficient.
Kudos if you like the explanation. Harry



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Re: If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10 [#permalink]
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27 Dec 2016, 23:17
Option C)
If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10n, then what is the value of T?
From stat 1: Values of A & m can be retrieved. But we dont know the value of n. Hence not suff.
From stat 2: We dont know the value of A. Hence not suff.
1 + 2: We have the value of A & n. A = (2.31)^2, m = 8, n = 15. T = (2.31) x 10^15. Hence, Sufficient.
Kudos if you like the explanation. Harry
I donot understand here how you got the value of A ? if you do explain little more then it helpful for me.



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Re: If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10 [#permalink]
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29 Dec 2016, 00:12
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Hi Samprits, When dealing with a DS question it is important that you use all pieces of information provided both in the question stem as well as the statement. We know that 4 < A < 6 and n and m are integers. To find the value of T we need the value of A and the value of n since T = A * 10n. Statement 1 : (A * 10^m)^0.5 = 23100Squaring both sides we get (A * 10^m) = (23100)^2 > (A * 10^m) = (23100 * 23100) > A = (23100 * 23100)/10^m Now since A needs to be between 4 and 6, we need A to be 2.31 * 2.31, since 2.31 * 2.31 is the only possible product which gives us a value of A between 4 and 6. So the value of m which gives us A as 2.31 * 2.31 is 8.However statement 1 does not give us any information about n. Insufficient.Statement 2 : n  m = 7 Here we can have multiple values for n and m and do not have any information about A. Insufficient.Combining statements 1 and 2We have A = 2.31 * 2.31, m = 8 and since n  m = 7, n has to be 15. Sufficient.Answer : C Hope this helps! CrackVerbal Academics Team
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Re: If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10 [#permalink]
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29 Dec 2016, 00:51
I have a question about the the information presented in the question. In particular this, " 4 < A < 6 "
Am I right in assuming that we cannot consider the value of A to be 5 because the question has not stated whether or not A is an integer. It could be 4.8, 5 or 5.3, too, right?
I got the correct answer as 'C' for this question, but the question I presented above is something I am curious about.



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If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10 [#permalink]
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24 Nov 2017, 16:57
Quote: If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10n, then what is the value of T?
1) \(\sqrt{A*10^m}=23100\)
2) \(nm=7\) Bunuel VeritasPrepKarishma niks18Is below approach correct: Clearly St 1 and St 2 are insufficient , combining both statements: \(\sqrt{A*10^m}=23100\) On squaring both sides we get \(A*10^m = (23,100)^2\) Substituting value of A from Q stem, since we want value of T: \((T / 10^n ) * 10^m = (23,100)^2\) \(T * 10^(mn) = (23,100)^2\) Since we know (nm) =7 from St 2, together both will give me value of T.
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If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10
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