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?
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Recent Answer : :
5/9
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A. 8 hrs
B. 7 1/2 hrs
C. 7 hrs
D. 9 hrs
Recent Answer : :
7 1/2
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Recent Answer : :
16.25
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Ques:- If two dies are thrown simultaneously what is the prob. of one of the dice getting face 6 ?
Recent Answer : :
sample space=36
prob of one of the dice getting face 6
i.e n={(1,6)(2,6)(3,6)(4,6)(5,6)(6,1)(6,2)(6,3)(6,4)
(6,5)(6,6)}=11
p=n/s
p=11/36
ans:11/36
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Recent Answer : :
160600
Ques:- Find out the wrong number in the series:
64, 71, 80, 91, 104, 119, 135, 155
64, 71, 80, 91, 104, 119, 135, 155
A. 71
B. 80
C. 104
D. 135
Recent Answer : :
135 is wrong because from starting difference between 7 after that 9 after 11 ,13,17 and so on
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Ques:- How should a profit of Rs.450 be divided between two partners, one of whom has contributed Rs.1200 for 5 months and the other Rs.750 for 4 months?
A. 1 : 1
B. 1 : 2
C. 1 : 3
D. 2 : 1
Recent Answer : :
1200*5 : 750*4
6000:3000
2:1
Ques:- Describe your best friend?
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