Latest TCS Aptitude Question SOLUTION: If a certain number when divided by the numbers 5,3,2 one after other successively, leaves a remainder 0,2,1 Then what will be the remainders if it is divided by the numbers 2,3,5

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(#M40039843) TCS Numerical Ability question Keep an EYE

If a certain number when divided by the numbers 5,3,2 one after other successively, leaves a remainder 0,2,1 Then what will be the remainders if it is divided by the numbers 2,3,5

Asked In TCS AKASH (9 years ago)

Solved Sachin Tripathi Read Solution (9)

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Read Solution (9) :

Sachin Tripathi  (9 years ago) Best Solution

Let whatever be the number, it can be formulated as:
suppose X is the Quotient after having divided the number by 2 then
the original number = 5(3(2X+1)+2)) //this is formulated using remainder theorem.

Hence original number = 30X+25
this when divided by 2 will leave 1 as remainder, because 30X is divisible by 2 but 25 fill leave remainder 1.
After being divided by 2 the number gets modified as 15X+12
Now, similarly divide this by 3, remainder will be 0 as both 15X and 12 are divisible by 3. then the number is modified as: 5X+4, which on dividing with 5 remains 4.
therefore, 1,0,4 is the answer!

Is this solution Helpfull? Yes (49) | No (2)  

ANGSHUMAN BASAK  (9 years ago)

The Number is 35 ,When divided by 5,3,2 leaves remainder 0,2,1 respectively.

So if 35 is divided by 2,3,5 leaves remainder 1,2,0 respectively.

Is this solution Helpfull? Yes (18) | No (9)  

priyadarshini lenka  (9 years ago)

in this can 5 can be taken?and when 5 divided by 2,3,5 remainder will be1,2,0.

Is this solution Helpfull? Yes (10) | No (4)  

ANISH KUMAR  (9 years ago)

z=2+1=3,y=3z+2=11,x=5y+0=55
55divided by 5,3,2 successively it will give 1,0,4

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

shaurya neel  (9 years ago)

the no is 25 which gives remainder 0,2,1 when diving by 5,3,2 successively

if 25 is divided by 2,3,5 successively it will give 1,0,4

Is this solution Helpfull? Yes (5) | No (6)  

Tuhin Chakraborty  (9 years ago)

yar tmlog division bhul gye kya kha pr 55%2=4 hota h vai kaun se school me pdhe ho

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

TANMOY DEY  (9 years ago)

that will be 5[3{2*X+1}+2],, if we consider x=2.. the no will be 85..then the ans is 1, 0, 4

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shanu chauhan  (8 years ago)

ANS 1,0,4,
let x be the given nom.
first it divide by 5 suppose a be the quotient and reminder is given 0
so X=5a+0(reminder)
next time by successively divided a by 3 let b be quotient and reminder is given 2
so a=3b+2(reminder)
and so on b=2*1+1=3
as b=3 so a=11 and X=55 on successively divided X by 2,3,5 the reminder will be 1,0,4

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Brindha  (4 years ago)

5 remainder 0
3 remainder 2
2 remainder 1
Now add 2 and 1,it gives 3
Multiply 3 with the upper value it gives 9 and add with 2
now multiply 11 with 5 and add with 0
the no is 55
when 55 divided by 2,3,5 gives 1,1,0

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