Latest TCS Aptitude Question SOLUTION: If m+n is divided by 12 then the remainder is 8. And if m-n is divided by 12 then the remainder is 6. If m>n then find out the remainder when mn is divided by 6.

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If m+n is divided by 12 then the remainder is 8. And if m-n is divided by 12 then the remainder is 6. If m>n then find out the remainder when mn is divided by 6.

Asked In TCS Vipul Pophale (9 years ago)

Solved pia sharma Read Solution (19)

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Read Solution (19) :

pia sharma  (9 years ago) Best Solution

m+n=20
m-n=18
=>2m=38
m=19
=>n=1
m*n=19*1=19
19/6=>remainder=1

Is this solution Helpfull? Yes (50) | No (4)  

vaibhav mani tripathi  (9 years ago)

12x+8=m+n -----------1
12x+6=m-n ------------2
From 1 & 2
We get m= 12x+7 and n= 1
m*n = 12x+7
(12x+7)/6 => for every value of x remainder is "1"
hence remainder=1. ans

Is this solution Helpfull? Yes (27) | No (4)  

abhilash mishra  (9 years ago)

m+n= 12k+8 .............................(1)
m-n= 12l +6 ..............................(2)

on squaring above two equation nd then subtracting we get

4mn=144(k^2-l^2)+2x12(8k+6l)+64-36

mn=36(k^2-l^2)+6(8k+6l)+7

mn=36(k^2-l^2)+6(8k+6l)+(6+1)

which shows clearly 1 is the remainder

Is this solution Helpfull? Yes (19) | No   

sweety jain  (9 years ago)

m+n=8
m-n=6 on solving
m=7; n=1
m*n=7*1=7
mn/6
reminder = 1

Is this solution Helpfull? Yes (6) | No   

karthikeyank  (9 years ago)

Ans is :1
m+n=20
m-n=18
=2m=38
m=19
=n=1
m*n=19*1=19
19/6=Remainder=1

Is this solution Helpfull? Yes (3) | No   

tirupathi reddy  (9 years ago)

12x+8=m+n (x - quotient)--------1
12x+6=m-n ------------2
From 1 & 2
We get m= 12x+7, n= 1
m*n = 12x+7
(12x+7)/6 => quotient is 2x and remainder is 7

Is this solution Helpfull? Yes (1) | No (8)  

Chirag Ranjan Lahiri  (9 years ago)

It would be 1

Is this solution Helpfull? Yes | No (1)  

Manish saini  (9 years ago)

the ans is 1

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Saurabh Mishra  (9 years ago)

m=13 n=7
m*n=91 divided by 6 gives remainder=1
ans is:1

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Rohan Kumar Rao  (9 years ago)

it sud be 1

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sandeep gangwar  (9 years ago)

(m+n)-(m-n)=8+6
so n=7
and now m should be 13 to satisfy above condition....
now 13*7/6 remainder is 1

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Rohan Kumar Rao  (9 years ago)

m+n=20
m-n=18
on solving..
m=19 n=1
19*1%6 =1

Is this solution Helpfull? Yes | No (1)  

Nagula Govardhan  (9 years ago)

(3*1)/6=0.5

Is this solution Helpfull? Yes | No (1)  

CHIRANJIT SAHA  (9 years ago)

m+n=8*x+12(let x quotient)

m-n=6*x+12

so, m=7x+12,,,,,n=x

m*n=7x^2+12x when divides by 6

remainder=1

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pranesh mishra  (9 years ago)

let x no. of coins of Rs 1.
A T P
=> x.1+(110-x).5=350
=>x=50 ans.

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SAHELI BISHNU  (9 years ago)

m+n = 42 ( 36 +8 ) and m-n = 56 ( 48 + 8) . therefore m= 46 and n =10 .

So mn = 460 and ( mn ) / 6 has remainder is 4

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mamatha spandana parakula  (9 years ago)

m+n-8 divisible by 12
m-n-6 divisible by 12
=>m+n+-8+m-n-6 divisible by 12 (m+n-8=a , m-n-6=b , =>a+b divisible by 12)
=>2m-14 divisible by 12
=>let 2m-14=24
=>m=19
=>n=1

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Abhijit Das  (9 years ago)

m+n=12*a+8--------->1
m-n=12*b+6---------->2
from eqn 1 + eqn 2-->2m=12(a+b)+14 i.e m=6(a+b)+7
from eqn 1 - eqn 2--->n=6(a-b)+1
so m*n=36(a^2 - b^2) +42(a-b) +6(a+b)+7.....so mn/6 gives remainder 7%6=1 as 36(a^2 -b^2)%6=0, 42(a-b)%6=0 & 6(a+b)%6=0
son ans=1

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prosenjit singha  (9 years ago)

m+n=12*x+8
m-n=12*y+6
-------------------
2n=12(x-y)+2 or n=6(x-y)+1
2m=12(x+y)+14 or m=6(x+y)+7
so if n is divisible by 6 then remainder is 1 and
m is divisible by 6 then remainder is 7 i.e 1
so (m*n)/6 remainder is 1

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