Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 43)
43.
In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Answer: Option
Explanation:
Discussion:
12 comments Page 1 of 2.
Ravi. U S said:
8 years ago
This type of problem can be solved still easier way.
Father had 1 part of a cake in 4 parts. Remaining parts are 3. Multiply the remaining parts with the number of times it is more. As given in the problem 3*3= 9. Including father, it is 10 members.
Father had 1 part of a cake in 4 parts. Remaining parts are 3. Multiply the remaining parts with the number of times it is more. As given in the problem 3*3= 9. Including father, it is 10 members.
(3)
Arjun said:
7 years ago
Let the family members b x.
Father ate 1/4 of the cake;
Rest members got 3/4x,
ATQ, the father had 3 times more than other members share i.e 3/4,
Now,
3(3/4x) = 1/4,
3/4x = 1/12,
36 = 4x,
X = 9,
9 + 1(father) = 10 total family member.
Father ate 1/4 of the cake;
Rest members got 3/4x,
ATQ, the father had 3 times more than other members share i.e 3/4,
Now,
3(3/4x) = 1/4,
3/4x = 1/12,
36 = 4x,
X = 9,
9 + 1(father) = 10 total family member.
(2)
Isa said:
4 years ago
As per the question, each and every other 1/4 of the cake was shared by 3 people as compared to that of their father.
Remaining quarters are 3*3(people) for all 3 quarters = 9 + 1(Father) = 10.
Remaining quarters are 3*3(people) for all 3 quarters = 9 + 1(Father) = 10.
(1)
Suresh said:
1 decade ago
How there could be (x+1) members why can't x members?
Apeksha said:
1 decade ago
Suppose there is 100 kg of cake, then father's share = 25kg.
So each family member will get 25/3 kg.
Let x be the no.of members.
Therefore,
x(25/3) = 75.
x = 9.
Total members 9+1(father).
So each family member will get 25/3 kg.
Let x be the no.of members.
Therefore,
x(25/3) = 75.
x = 9.
Total members 9+1(father).
Teja said:
1 decade ago
Let total number of family members be a.
Total amount of cake be x.
1/4x is fathers part.
3/4x is remaining members part (a-1).
1/4x = 3(3/4x)/a-1 (remaining members excluding father).
a-1 = 9.
a = 10.
Total amount of cake be x.
1/4x is fathers part.
3/4x is remaining members part (a-1).
1/4x = 3(3/4x)/a-1 (remaining members excluding father).
a-1 = 9.
a = 10.
Gauri said:
8 years ago
Nice @Ravi.
Tharini said:
6 years ago
Good explanation. Thanks @Ravi.
Kanchik said:
6 years ago
@Ravi suberb.
Kavi said:
5 years ago
Thanks @Ravi.
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