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09 Nov 2014, 22:24
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
48% (01:44) correct
52%
(01:47)
wrong
based on 243
sessions
History
Date
Time
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Not Attempted Yet
A one-foot stick is marked in 1/6 and 1/8 portion. How many total markings will there be, including the end points?
a. 16
b. 15
c. 14
d. 13
e. 12
a. 16
b. 15
c. 14
d. 13
e. 12
09 Nov 2014, 23:27
Kudos
Bookmarks
marking of stick in 1/6 portion=
1/6......2/6........3/6.......4/6.........5/6.........1 it can be reduced to
1/6......1/3........1/2.......2/3.........5/6.........1
marking of stick in 1/8 portion=
1/8.......2/8........3/8........4/8.........5/8........6/8.......7/8.......1 it can be reduced to
1/8.......1/4........3/8........1/2.........5/8........3/4.......7/8........1
We can observe that there is an overlap in marking at 1/2. In other cases we have markings at different points
so total points = start point + 5(points for 1/6 marking) + 7 (points for 1/8 marking)- 1 (overlap of two markings at 1/2) + end point
= 1+5+7-1+1
=13
Ans = D
1/6......2/6........3/6.......4/6.........5/6.........1 it can be reduced to
1/6......1/3........1/2.......2/3.........5/6.........1
marking of stick in 1/8 portion=
1/8.......2/8........3/8........4/8.........5/8........6/8.......7/8.......1 it can be reduced to
1/8.......1/4........3/8........1/2.........5/8........3/4.......7/8........1
We can observe that there is an overlap in marking at 1/2. In other cases we have markings at different points
so total points = start point + 5(points for 1/6 marking) + 7 (points for 1/8 marking)- 1 (overlap of two markings at 1/2) + end point
= 1+5+7-1+1
=13
Ans = D
09 Nov 2014, 23:39
Kudos
Bookmarks
There is always an easy approach for this type of sums
Multiply the denominator = 6*8 =48. Say there are 48 numbers
Marking with 6 = 8 markings
Marking with 8 = 6 markings
Here notice that we are marking 24(L.C.M of 6 and 8) and 48 twice. So subtract 2 from (8+6=14)
Total markings = 14-2 = 12+1 =13
Why are we adding 1? Because when we mark we don't consider the starting point. So we have to put a mark there.
By visualizing we can find that we normally don't put mark at the beginning of marking the sticks
Multiply the denominator = 6*8 =48. Say there are 48 numbers
Marking with 6 = 8 markings
Marking with 8 = 6 markings
Here notice that we are marking 24(L.C.M of 6 and 8) and 48 twice. So subtract 2 from (8+6=14)
Total markings = 14-2 = 12+1 =13
Why are we adding 1? Because when we mark we don't consider the starting point. So we have to put a mark there.
By visualizing we can find that we normally don't put mark at the beginning of marking the sticks
