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# Rules 1. Time yourself 2. Work your solution on a seperate

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CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 924 [0], given: 781

Rules 1. Time yourself 2. Work your solution on a seperate [#permalink]

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10 Mar 2004, 20:23
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Rules

1. Time yourself
2. Work your solution on a seperate sheet of paper

If the square root of the product of three distinct positive
integers is equal to the largest of the three numbers, what is the
product of the two smaller numbers?

(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3

Kudos [?]: 924 [0], given: 781

Director
Joined: 03 Jul 2003
Posts: 651

Kudos [?]: 106 [0], given: 0

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10 Mar 2004, 20:58
Ans: D

Time more than 4 mins

Kudos [?]: 106 [0], given: 0

Manager
Joined: 11 Oct 2003
Posts: 102

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

Location: USA

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10 Mar 2004, 21:58
I think it it is A..2 min

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

Manager
Joined: 28 Jan 2004
Posts: 202

Kudos [?]: 29 [0], given: 4

Location: India

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10 Mar 2004, 23:50
I will go for A (only statement 1 can be used to answer).
Time taken 30 seconds.

Sol. Three integers be X,Y,Z and largest be Z.
sqrt(XYZ) = Z ,replace Z by 12
sqrt(XY*12) = 12
or sqrt(XY) = sqrt(12)
or XY = 12

Kudos [?]: 29 [0], given: 4

Director
Joined: 13 Nov 2003
Posts: 788

Kudos [?]: 64 [0], given: 0

Location: BULGARIA

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11 Mar 2004, 03:40
Agree with mantha and mdfrahim, think that the answer is A)
Time: 2,5 min.

Kudos [?]: 64 [0], given: 0

SVP
Joined: 30 Oct 2003
Posts: 1788

Kudos [?]: 114 [0], given: 0

Location: NewJersey USA

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11 Mar 2004, 05:42
a) sqrt( a * b * 12 ) = 12
so a * b = 12
Sufficient
b) a+b+c = 20
Only number that satisfies this and a * b = c is c = 12
Sufficient
< 2 minutes

Kudos [?]: 114 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 924 [0], given: 781

Re: [#18] 2 Min. Challenge : Product [#permalink]

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11 Mar 2004, 06:30
praetorian123 wrote:
Rules

1. Time yourself
2. Work your solution on a seperate sheet of paper

If the square root of the product of three distinct positive
integers is equal to the largest of the three numbers, what is the
product of the two smaller numbers?

(1) The largest number is 12.
(2) The average (arithmetic mean) of the three numbers is 20/3

D is correct

good work anand

Kudos [?]: 924 [0], given: 781

Senior Manager
Joined: 23 Sep 2003
Posts: 292

Kudos [?]: 4 [0], given: 0

Location: US

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11 Mar 2004, 06:51
I agree with Anandnk and Kpadma.

The only distinct positive integers that satisfy the requirement that their sum = 20, and that the largest integer = the product of the other 2 integers are 6, 2 and 12.

If you try other combinations, you'll find that they don't sum to 20. Example: a=3; b=4 ; ab = c = 12 but 3 + 4 + 12 <> 20. Same with 8, 2 and 16.

Kudos [?]: 4 [0], given: 0

11 Mar 2004, 06:51
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# Rules 1. Time yourself 2. Work your solution on a seperate

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