How many 3-digit numerals ? : GMAT Problem Solving (PS)
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# How many 3-digit numerals ?

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Manager
Joined: 29 Jun 2010
Posts: 248
Schools: LBS, Oxford
Followers: 9

Kudos [?]: 40 [0], given: 12

How many 3-digit numerals ? [#permalink]

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10 Jul 2011, 19:40
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Question Stats:

75% (01:27) correct 25% (00:58) wrong based on 8 sessions

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How many 3-digit numerals begin with a digit that represents a prime and end with a digit that represents a prime number?

A) 16
B) 80
c) 160
D) 180
E) 240
[Reveal] Spoiler: OA
Manager
Joined: 24 Nov 2010
Posts: 210
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 75 [0], given: 7

Re: How many 3-digit numerals ? [#permalink]

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10 Jul 2011, 20:07
prime digits - 2, 3, 5, 7

there will 10 number starting with 2 and ending in 2 like 202, 212, 222, 232..
similarly 10 numbers starting with 2 and ending in 3, 10 ending in 5, and 10 ending in 7
so total numbers starting with 2 = 40
similarly 40 starting with 3, 5, and 7
so total = 40*4 = 160
Senior Manager
Joined: 03 Mar 2010
Posts: 440
Schools: Simon '16 (M)
Followers: 5

Kudos [?]: 261 [0], given: 22

Re: How many 3-digit numerals ? [#permalink]

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10 Jul 2011, 23:04
prime digits 2,3,5 and 7.
three digit numbers _ _ _
1st place can be filled in 4 ways
2nd place can be filled in 10 ways
3rd place can be filled in 4 ways
Total=4*10*4=160
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Re: How many 3-digit numerals ?   [#permalink] 10 Jul 2011, 23:04
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# How many 3-digit numerals ?

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