Latest TCS Aptitude Question SOLUTION: Arun wanted to find the largest number of 4 digits such that when added to 7249 generated a number that gave a remainder 0 when devided by 54, 12, 14, 21, 33. Find the number.

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Arun wanted to find the largest number of 4 digits such that when added to 7249 generated a number that gave a remainder 0 when devided by 54, 12, 14, 21, 33. Find the number.

Asked In TCS nikhil pande (10 years ago)

Solved Tanu Read Solution (12)

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Read Solution (12) :

Nikhil Agnihotri  (10 years ago)

the answer is 9383 bcoz its the largest 4 digit no..
first we have to find the LCM of all the given numbers which is 8316
now twice the LCM is 16632..and thus 16632-7249 gives 9383...which is the ans..
hope u undertood...!!

Is this solution Helpfull? Yes (46) | No (11)  

Tanu  (10 years ago)

@vemavarapu moulika
As we have to find 4 digit no.
LCM=8316
But the other mulitples can also b there (8316,8316*2,8316*3.....) which gives remainder zero.
Now taking 8316,8316-7249=1047
taking 8316*2, 16632-7249=9383
taking 8316*3, 24948-7249=17699, which is of 5 digits
we want largest 4 digit so 9383 is the answer.

Is this solution Helpfull? Yes (35) | No (1)  

will  (10 years ago)

ans is 1067
8316 is the lcf of all d given numbers.

Is this solution Helpfull? Yes (16) | No (7)  

Rahul  (10 years ago)

let largest 4 digit no is 9999+7249=17248....lcm is 8316.....now divide 17248/8316...remainder...616..substract it...16632...now this was right number....so to get ur answer...16632-7249=9383

Is this solution Helpfull? Yes (6) | No   

Sruthi karuturi  (10 years ago)

1067 is smallest no and the largest no is 9383
given largest hence 9383

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

Parun  (10 years ago)

LCM of multiples coming out to be 8316.
ie 7249 + x=8316
hence x is 1067
now chck greatest no which is factor of 1607
ie 9383

Is this solution Helpfull? Yes (3) | No   

Nipun sharma  (10 years ago)

1067 is correct

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

Pihu  (10 years ago)

plz tell which one is correct ??

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

shankar narayan v  (10 years ago)

x+7249/54=x+7249/12

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

vemavarapu moulika  (10 years ago)

@Nikhil Agnihotri... Why "twice the LCM"..? plz xplain....

Is this solution Helpfull? Yes | No (1)  

shubham chauhan  (10 years ago)

correct ans is 1067....coz its the max 4 digit no which has to be added to 7249

Is this solution Helpfull? Yes | No (2)  

Guru Pranav  (10 years ago)

number that shuould be added is 1067 !!!

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