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Today's Puzzle Solve today's Puzzle and be among the top 5


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20 May 2022 : LCM & HCF

The ratio of sum to the LCM of two natural numbers is 12:35. If their HCF is 6, then the smaller number is

OPtion

1) 24
2) 42
3) 54
4) 30
5) 48
6) 12
7) 36
8) 18
9) 60
10) None of these

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Previous Day Puzzle and users best solution .

19 May 2022 : Time and Work

A, B and C together can complete certain work in 24 days. A and C together work twice as much as B while A and B together works four times the as much as C, then A alone can do the same work in

OPtion

1) 72 days
2) 120 days
3) 48 days
4) 30 days
5) 36 days
6) 180/7 days
7) 360/7 days
8) 90/7 days
9) 270/7 days
10) None of these
Solution
Let A, B and C can do the work in a, b and c days respectively.
Then, 1 day's work of A, B & C = 1/a + 1/b + 1/c = 1/24 ----(i)
1/a + 1/c = 2/b ----(ii)
1/a + 1/b = 4/c ----(iii)
Now subtracting (ii) from (i), we get 1/b = 1/72
Similarly subtracting (iii) from (i), we get 1/c = 1/120
Substituting values of 1/b and 1/c in (i), 1/a = 7/360
.'. A alone can do the work in 360/7 days.
Correct Option 7)
Correct Option: 7 Best Solution (1)
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Best user's solution

G.S.Kantharao
G.S.Kantharao
A+C=2B
A+B=4C
A+B+C=1/24
3B=1/24
B=1/72
Now 4C+C=1/24
C=1/120
A=1/24 -1/72 -1/120=7/360
So A can do in 360/7d
My option is 7👈
Is this solution helpfull? Yes (2) | No   
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