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Updated on: 03 Jun 2016, 06:15
Originally posted by MartyTargetTestPrep on 03 Jun 2016, 05:44.
Last edited by MartyTargetTestPrep on 03 Jun 2016, 06:15, edited 1 time in total.
Last edited by MartyTargetTestPrep on 03 Jun 2016, 06:15, edited 1 time in total.
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Difficulty:
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Question Stats:
25% (02:00) correct
75%
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based on 72
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A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares. Through how many of the squares does a diagonal of the rectangle pass?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 16
Source: Marty Murray
(A) 6
(B) 8
(C) 10
(D) 12
(E) 16
Source: Marty Murray
03 Jun 2016, 06:02
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MartyMurray
A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 one inch by one inch squares. Through how many of the squares does a diagonal of the rectangle pass?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 16
Source: Marty Murray
(A) 6
(B) 8
(C) 10
(D) 12
(E) 16
Source: Marty Murray
Hi,
I have done this earlier in a different format..
there is a pattern involved in it..
two case-
1)If the two sides are co-prime, SUM of sides -1..
2)and if not co-prime , Sum of sides - HCF of sides..
the difference is related to the diagonal passing through a vertex of squares at some place..
here 6 and 8 are NOT co-primes, so ans \(= 6+8-HCF(6,8) = 14-2 =12\)
D
General Discussion
25 Jun 2016, 12:59
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chetan2u
MartyMurray
A rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 one inch by one inch squares. Through how many of the squares does a diagonal of the rectangle pass?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 16
Source: Marty Murray
(A) 6
(B) 8
(C) 10
(D) 12
(E) 16
Source: Marty Murray
Hi,
I have done this earlier in a different format..
there is a pattern involved in it..
two case-
1)If the two sides are co-prime, SUM of sides -1..
2)and if not co-prime , Sum of sides - HCF of sides..
the difference is related to the diagonal passing through a vertex of squares at some place..
here 6 and 8 are NOT co-primes, so ans \(= 6+8-HCF(6,8) = 14-2 =12\)
D
Can u please elaborate the highlighted a little for me
or any link explaining the same..
thanks
