Latest TCS Aptitude Question SOLUTION: 17. Its is given that there are a number of chocolates in a bag. If they were to be equally divided among 14 children, there are 10 chocolates left. If they were to be equally divi

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(#M40019916) TCS Logical Reasoning question Keep an EYE

17. Its is given that there are a number of chocolates in a bag. If they were to be equally divided among 14
children, there are 10 chocolates left. If they were to be equally divided among 15
children, there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210
chocolates are added to the bag. What is the remainder when the minimum feasible
number of chocolates in the bag is divided by 9?

Asked In TCS juhe rawat (10 years ago)

Unsolved Read Solution (15)

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Read Solution (15) :

Priyanka Ganguly  (10 years ago)

14n+10=15n+8
n=2
210+38=248
248%9=5
remainder is 5

Is this solution Helpfull? Yes (52) | No (12)  

Alok Kumar  (10 years ago)

Ans : 2
let number = N
N/14 = remainder 10.
N/15 = remainder 8.

largest no is 15 . so according to condition N/15 = remainder 8
N = 15k + 8 (k=0,1,2...)
again this number must satisfy the condition N/14 = remainder 10
so it is possible if (15k+8)-10 is divisible by 14
ie, (15k-2)is divisible by 14 , here we can find the minimum value of k
putting k = 1 , (15k-2)=13 (not divisible by 14)
putting k =2 , (15k-2)=13 yes divisible by 14

so now putting the value of k in the N = (15k + 8 ) , we get N=38
so 38/9 give 2 as a remainder .

Is this solution Helpfull? Yes (48) | No (17)  

Suvojyoti Sinha Ray  (10 years ago)

Answer-2
This is because
14n+10=15n+8
n=2
Total chocolates=38

Is this solution Helpfull? Yes (17) | No (14)  

MUKESH KUMAR  (10 years ago)

14Q+10=n and 15Q + 8 = n
So, n = 38,
now (38+210)/9...remainder=5 Ans.

Is this solution Helpfull? Yes (13) | No (5)  

atul tagi  (10 years ago)

plz dont confuse yaar,,,,,plz tellthe correct answere.....those whu are saying 2,,,,,then why the 210 is given in question yaar,,,,,

Is this solution Helpfull? Yes (9) | No (3)  

Shreyas Suryavanshi  (10 years ago)

Let number of chocolates be 38.
210+38=248
248%9=5
So answer is 5

Is this solution Helpfull? Yes (4) | No (2)  

Ritesh Agarwal  (10 years ago)

Answer=2
This is because
14n+10=15n+8
n=2
Total chocolates=38
and 38%9=2

Is this solution Helpfull? Yes (3) | No (4)  

bumbum  (10 years ago)

14n+10=15n+8
n=2
total chocolate = 38
(multiple of 210) no. of chocolate added with 38 chocolates
LCM(210,38)=3990 i.e the minimum no. of chocolate which can satisfy 2 conditions and also after addition of (210*18).
so rem(3990/9) = 1 will be the ans

Is this solution Helpfull? Yes (3) | No (12)  

gaurav  (10 years ago)

14n+10=15n+8
n=2
now,14*2+10(rem)=38
and15*2+8(rem)=38
so,x=38 and divide by 9..get rem=2

Is this solution Helpfull? Yes (3) | No (1)  

saranya  (10 years ago)

ANS:2
14n+10=15n+8
n=2
so it consist of a total of 38.
this condition is true when 210 choclates are added..this is the first part of the qn..
then
second part when there are minimum feasible choclates..that is (38).what is remainder divided by 9...38/9 rem:2

Is this solution Helpfull? Yes (2) | No (2)  

sudipta sadhukhan  (10 years ago)

answer will be 2.

Is this solution Helpfull? Yes (1) | No (3)  

sagar  (10 years ago)

answer is 2

Is this solution Helpfull? Yes (1) | No (3)  

jasleen kaur Bhatia  (10 years ago)

can u explain how the answer is 2 ?

Is this solution Helpfull? Yes (1) | No   

naresh kumar agarwal  (10 years ago)

2 is correct answer

Is this solution Helpfull? Yes (1) | No (5)  

Raj Kumar Ray  (10 years ago)

Ans: 6
My explanation... Taking the minimum case. If the no. of chocolates are divided among 14 people then the minimum chocolate that should be there so that every1 should get it is 1. and 10 remains So (14*1)+10= 24 is the minimum no. of chclts. Same is in the case of 15 children.. (15*1)+8=24. Now 0 is the least multiple of 210 [since according to many 0 is a multiple of all integers]
So considering the least multiple of 210 , 0 chclts are added. So 24 remains in the bag..
Now 24/9 gives 6 as the remainder.
GUYS PLEASE COMMENT IF YOU THINK I'M WRONG. THIS IS JUST WHAT I THOUGHT.

Is this solution Helpfull? Yes (1) | No (26)  

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