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metallicafan
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09 Aug 2012, 09:57
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:36) correct
39%
(01:28)
wrong
based on 463
sessions
History
Date
Time
Result
Not Attempted Yet
The product of the
five smallest two-digit prime numbers is closest to which of the following powers of 10?
(A) \(10^9\)
(B) \(10^8\)
(C) \(10^7\)
(D) \(10^6\)
(E) \(10^5\)
A faster way to solve it?
Source: https://www.gmathacks.com
(A) \(10^9\)
(B) \(10^8\)
(C) \(10^7\)
(D) \(10^6\)
(E) \(10^5\)
A faster way to solve it?
Source: https://www.gmathacks.com
09 Aug 2012, 14:54
Kudos
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The product of the
five smallest two-digit prime numbers is closest to which of the following powers of 10?
(A) \(10^9\)
(B) \(10^8\)
(C) \(10^7\)
(D) \(10^6\)
(E) \(10^5\)
One can also use the following approximation:
\(11*13*17*18*23\approx{10*10*20*20*25}=100*10,000=10^6\)
Answer: D.
Similar question to practice:
the-product-of-the-fir-st-eight-positive-even-integers-is-128135.html
the-product-of-all-the-prime-numbers-less-than-20-is-closest-135192.html (from OG)
Hope it helps.
(A) \(10^9\)
(B) \(10^8\)
(C) \(10^7\)
(D) \(10^6\)
(E) \(10^5\)
One can also use the following approximation:
\(11*13*17*18*23\approx{10*10*20*20*25}=100*10,000=10^6\)
Answer: D.
Similar question to practice:
the-product-of-the-fir-st-eight-positive-even-integers-is-128135.html
the-product-of-all-the-prime-numbers-less-than-20-is-closest-135192.html (from OG)
Hope it helps.
General Discussion
09 Aug 2012, 10:29
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metallicafan
The product is 11*13*17*19*23
Try some approximation:
10*15*15*20*20 = 4,000*225=900,000, this would be somewhat smaller than the real product.
10*15*15*20*25 = 2250*500=1,250,000, this for sure is larger.
My bet is \(10^6\).
