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Squares

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Manager
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 40 [0], given: 7

Squares [#permalink]  21 Mar 2011, 21:06
00:00

Difficulty:

(N/A)

Question Stats:

46% (01:49) correct 54% (00:22) wrong based on 18 sessions
If x is a positive integer, which of the following could NOT be the square of x?

(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2035
Followers: 135

Kudos [?]: 1109 [0], given: 376

Re: Squares [#permalink]  22 Mar 2011, 00:58
dreambeliever wrote:
If x is a positive integer, which of the following could NOT be the square of x?

(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752

A number ending with 2 can never be a perfect square.

Units digit of a perfect square must be:
1*1=1
2*2=4
3*3=9
4*4=6
5*5=5
6*6=6
7*7=9
8*8=4
9*9=1

1,4,9,6,5

Ans: "E"
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Joined: 16 Nov 2010
Posts: 1684
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 342 [0], given: 36

Re: Squares [#permalink]  22 Mar 2011, 02:16
The answer is E; reasoning is same as suggested by fluke.
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Manager
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 40 [0], given: 7

Re: Squares [#permalink]  22 Mar 2011, 07:32
OA is E.

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Senior Manager
Joined: 09 Feb 2011
Posts: 285
Concentration: General Management, Social Entrepreneurship
Schools: HBS '14 (A)
GMAT 1: 770 Q50 V47
Followers: 10

Kudos [?]: 128 [0], given: 13

Re: Squares [#permalink]  22 Mar 2011, 22:31
Answer is E , just to add: Fluke missed a 0 in his list(more precisely, a double zero)
Director
Joined: 01 Feb 2011
Posts: 763
Followers: 14

Kudos [?]: 68 [0], given: 42

Re: Squares [#permalink]  20 Apr 2011, 15:33

unit digit of a perfect square integer has to be 0,1,4,9,6,5 and the digit thats ending with 2 can never be a perfect square.
Re: Squares   [#permalink] 20 Apr 2011, 15:33
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