Latest TCS Aptitude Question SOLUTION: A three digit number was divided successively in order by 4, 5 and 6 leaving out the remainders. The remainders were respectively 2, 3 and 4. How many such three digit numbers are

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(#M40012710) TCS Numerical Ability question Keep an EYE

A three digit number was divided successively in order by 4, 5 and 6 leaving out the remainders. The remainders were respectively 2, 3 and 4. How many such three digit
numbers are possible?
3
5
7
9

Asked In TCS dharmveer (11 years ago)

Unsolved Read Solution (16)

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Read Solution (16) :

LINGARAJ PANDA  (11 years ago)

three digit no in the form of 120x+94 ie possible no is 7

Is this solution Helpfull? Yes (19) | No (1)  

shalini sharma  (9 years ago)

When a three digit number is divided by
4,5,6 successively, the final quotient will be
a single digit (as 4*5*6 = 120 and the max
three digit number 999 is not more than
9*120).
Let the number be x and the quotient after
division by 4 be a and the quotient after
division by 5 be b and the quotient after
division by 6 be c.
Then, x = 4a+2,
a = 5b +3
b = 6c + 4.
Now start with c=1, b=10, a=53, x=214
when c=2, b=16, a=83, x=334,
c=3, b=22, a=113, x=454 and so on with
an increment of 120. Thus the 3 digit
numbers possible are 214, 334, 454, 574,
694, 814, 934.
The answer is 7 such numbers are
possible.

Is this solution Helpfull? Yes (9) | No (2)  

ayushs srivastava  (11 years ago)

N=k LCM(a,b,c)-P where p is the diff between divisor n remainder

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

ayushs srivastava  (11 years ago)

n=60k+2; differnce z 2

Is this solution Helpfull? Yes (4) | No (1)  

vaishnavi  (11 years ago)

answer is pakka 7..... others answers are wrong

Is this solution Helpfull? Yes (3) | No (6)  

NEETU MORWANI  (11 years ago)

15 numbers r possible..cz required number is of the form-60k+2..where k ranges from 2 to 16..therefore 15 such 3 digit numbers r possib;le

Is this solution Helpfull? Yes (2) | No (8)  

srikhakollu bharghav  (11 years ago)

friends i am getting answer as 8...please check these numbers....118,238,358,478,598,718,838,958......correct me if i am wrong....

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

k.m  (10 years ago)

answer is 14 because 3 digit number divided by 5 leaves remainder 3 is either 3 or 8 at his unit place i.e 103,108,113,118..........and so on but only even number on divided by 4 leaves remainder 2 so we have only 108,118,128.............. now by checking i found that 118 is first 3 digit number that leaves remainder 2,3,4 by divided by 4,5,6 and after that 178 is next option and at difference of 60 all options are satisfied so in between 118-999 14 options satisfied a condition......

Is this solution Helpfull? Yes (2) | No   

Nishchal Kaushal  (6 years ago)

The no. is
4(5(6x + 4) + 3) + 2 = 120x + 94,
so 7 three digits no. are possible

Is this solution Helpfull? Yes (2) | No   

rahul  (11 years ago)

i m not satisfied ur answer
plz explain clearly
how can solve it.

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

Priyanka Sah  (7 years ago)

let the no. be x which goes on sucessive division by 4,5,6.
x=4y+2
y=5z+3
z=6c+4
substituting z in y and y in x
we get x=120c+94

Is this solution Helpfull? Yes (1) | No   

venkatrao  (11 years ago)

Ans=7
come to back multiplication

Is this solution Helpfull? Yes | No (3)  

Rahul Raj  (11 years ago)

pls see the word successively. it means a lot.

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babu rao ganpat rao apte  (10 years ago)

someone pls explain it clearly

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Ganeshkumar  (10 years ago)

yes ans is:7

Is this solution Helpfull? Yes | No   

d navneeth  (7 years ago)

When a three digit number is divided by 4,5,6 successively, the final quotient will be a single digit (as 4*5*6 = 120 and the max three digit number 999 is not more than 9*120).

Let the number be x and the quotient after division by 4 be a and the quotient after division by 5 be b and the quotient after division by 6 be c. Then, x = 4a+2, a = 5b +3 b = 6c + 4.

Now start with c=1, b=10, a=53, x=214
when c=2, b=16, a=83, x=334, c=3, b=22, a=113, x=454 and so on with an increment of 120. Thus the 3 digit numbers possible are 214, 334, 454, 574, 694, 814, 934.

The answer is 7 such numbers are possible

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