Ques:- A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required.
Recent Answer : Added by Hemant On 2021-08-10 09:39:24:
Total 60 trees
4 rows each with 15 trees
5 rows each with 12 trees
6 rows each with 10 trees
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Ques:- A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager. According to his will: First give one coin to manager. 1/5th of the remaining to the elder son.Now give one coin to the manager and 1/5th of the remaining to second son and so on….. After giving coins to 5th son, divided the remaining coins among five daughters equally.All should get full coins. Find the minimum number of coins he has?
Recent Answer : Added by Biplab Nath On 2021-07-31 16:35:53:
Answer: 3121 gold coins
Let total no of coins be M
Let the disbursement D to each son:
D1 = 1 + (M – 1)/5 = (M + 4)/5
D2 = 1 + ( M – D1 -1)/5 = (D1) * 4/5
D3= (D2) * 4/5
D4= (D3) * 4/5
D5= (D4) * 4/5
Total disbursements to sons=
= ∑D= (M+4)*1/5[ 1+4/5+(4/5)(4/5)+ (4/5)(4/5)(4/5)+(4/5)(4/5)(4/5)(4/5) ]
= (2101/3125)*(M+4)
Thus balance left for daughters =M-{(2101/3125)*(M+4)}
=(1024M-8404)/3125
This balance should be a positive integer ( assuming M and all disbursements are full coins )
Thus 1024M-8404 should be a multiple of 3125….so….
1024M – 8404 = N*3125 where N is an integer
Using Python code:
n=int(input(“Enter num n: “))
X=int()
a=int()
a=0
X=’ ‘
for a in range(0,n+1):
a=a+1
X= (3125*a + 8404)/1024
if (3125*a + 8404)% 1024== 0:
print(X,a)
Enter num n: 10000
3121.0 1020
6246.0 2044
9371.0 3068
12496.0 4092
15621.0 5116
18746.0 6140
21871.0 7164
24996.0 8188
28121.0 9212
We get minimum value of N = 1021 and M = 3121 gold coins
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Recent Answer : Added by Nagarjuna On 2022-10-27 17:33:14:
EALIME
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Ques:- A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B’s investment in the business?
Ques:- 6897 is divisible by
A. 11 only
B. 19 only
C. both 11 and 19
D. neither 11 nor 19
Recent Answer : Added by Raimi Rafiu On 2022-09-15 16:36:47:
11
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Ques:- A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Recent Answer : Added by George On 2021-06-10 07:10:11:
total distance to travel the end of the train = 360 + 140 = 500 m
speed of train 45000m/60min = 750m/min or 750m/60sec
(500m*60sec)/750m=40sec the time will take to pass
Ques:- A person starts from his house and walks 2km straight and then takes a right turn and walks for 1km and again takes a right turn and walk for another 1km. now if he is in north – west direction from his house; find out the direction in which he has started from the house?
Recent Answer : Added by Biplab Nath On 2021-07-30 16:26:18:
West
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Ques:- 1,2,2,4,8,?
Recent Answer : Added by Admin On 2020-05-17 12:03:12:
1*2=2
2*2=4
2*4=8
8*4=32
Ans : 32
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Ques:- Number Series 19,24,20,25,21,26,?
Recent Answer : Added by Boomika On 2022-05-17 09:09:03:
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Total 60 trees
4 rows each with 15 trees
5 rows each with 12 trees
6 rows each with 10 trees