Latest TCS Aptitude Question SOLUTION: A number is divided by 5,2 and 3 successively in order to get remainders of 0,1, and 2 respectively. What will be the remainders when the same number is divided by 2,3 and 5 respe

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A number is divided by 5,2 and 3 successively in order to get remainders of 0,1, and 2 respectively. What will be the remainders when the same number is divided by 2,3 and 5 respectively?

Asked In TCS MUKESH KUMAR CHAURASIA (11 years ago)

Unsolved Read Solution (9)

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Read Solution (9) :

Ritika M  (11 years ago)

@ Rohit Kumar

The question says divides successively...I am doing a hit and trial thing, I am not too sure

When 55 is divided by 5, it leaves 0 remainder
We are left with 11 quotient, which when divided by 2 leaves 1 remainder
When the left quotient 5 is divided by 3, we get 2 as remainder

Now when we divide the same number but in a different order :

When 55 is divided by 2, it leaves 1 remainder
We are left with 27 as quotient, which when divided by 3 leaves 0 remainder
When the left out quotient 9 is divided by 3, we get 4 as remainder

So I think the answer should be 1,0,4

Is this solution Helpfull? Yes (45) | No (4)  

amit kumar  (11 years ago)

firstly do 5-0=5,2-1=1 and 3-2=1
now L.C.M of 5,1,1=5 so the no will be 5
now divide 5 by 2,3,5
remainder = 1,2,0

Is this solution Helpfull? Yes (13) | No (6)  

Dipika Jha  (11 years ago)

let the no b x
5| x
2|y-0
3|z-1
1
z=3*1+2 =5
y=2*z+1 = 11
x=5*y+0 = 55
55/2=27 55%2=1
27/3 = 9 27%3=0
9%5=4
so the answer is 1,0,4.

Is this solution Helpfull? Yes (6) | No (1)  

rohit kumar  (11 years ago)

suppose there is a number 35,
when we divide 35 by 5,2 and 3 we get remainders 0,1 and 2 respectively
when we divide the same number 35 by 2,3 and 5 we will get 1,2 and 0 as remainders respectively..

Is this solution Helpfull? Yes (4) | No (12)  

Rajat jain  (11 years ago)

number is 25...
when u successively divide it by 5,2,3 gives 0,1,2
and when devides by 2,3,5 it gives 1,0,4..

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

Nikhil Agnihotri  (11 years ago)

ans is- 1,1 and 0

Is this solution Helpfull? Yes (3) | No (2)  

Ripan Pal  (9 years ago)

let, the no = a

( a - 0 ) / 5 = q1
( q1 - 1 ) / 2 = q2
( q2 - 2 ) / 3 = q3

let, q3 = 1 ( u can choose any +ve integer no )

By, back calculation, q2 = 8 , q1 = 17 , a = 85

So, the number is 85 ( for q3=1 )

If we divide 85 by 2,3, and 5 respectively then the remainder will be 1,0, and 4

Answer ---> 1,0,4

Is this solution Helpfull? Yes (3) | No   

lucky  (11 years ago)

2,1,0 should be the ans

Is this solution Helpfull? Yes (1) | No (9)  

Dipika Jha  (11 years ago)

i think the answer is 1,1,0 cz..
@ritika M when we divide 25 by 5 we get remainder 0 ,and we will left with quotient 5 ,which wen divide by 2 leavers remainder 1 and quotient 2 and when we divide 2 by 3 we will get remainder as 2...
ans since in the question we have to divide the num by 2,3 and 5 respectively ...when we divide 25 by 2 we will get 1 as remainder similarly if we divide 25 with 3 we will gwt 1 as the remainder and when we divide 25 by 5 we will get 0 as remainder ...

Is this solution Helpfull? Yes (1) | No (2)  

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