Latest Elitmus Aptitude Question SOLUTION: x is the 9 digit largest number(digits are 1 to 9 with out repeat) which is divisible by 11 and y second largest number which also divisible by 11 then difference between x and y

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(#M40155947) ELITMUS Numerical Ability question number system Keep an EYE

x is the 9 digit largest number(digits are 1 to 9 with out repeat) which is divisible by 11 and y second largest number which also divisible by 11 then difference between x and y

Asked In Elitmus jaya kishore (8 years ago)

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Ashish  (8 years ago)

largest number is 987652413 and second largest is 987652314
so difference is 99.

Is this solution Helpfull? Yes (19) | No   

alka patel  (8 years ago)

As we know "sum of digit at even place and sum of digit at odd places must be adjusted such that their difference is 0 or divisible by 11.
we have 9 digit without repetition,
so sum of digit from 1 to 9 =45
Let sum of digit at odd place will be 'w' and sum of even place will be 'Z'.
W + Z= 45
W - Z = 11
2W = 56
So W = 28 and Z = 17
now the digits at odd place are 2, 4, 6, 7, 9
sum of digit at odd place is 2+4+6+7+9 = 28
the digits at even place are 1,3,5,8
sum of digits at even place is 1+3+5+8 =17
so the largest no will be find by put no. of odd and even places in increasing order accordingly
1st lasrgest no is 987563412
and 2nd largest no is 987563214
diference between them
X-Y=198
Ans=198

Is this solution Helpfull? Yes (16) | No (8)  

shikha pandey  (8 years ago)

Look this way 22-11= 11.....
....88-77=11 so it does't matter how much the no is. If it is multiple of 11 so the second highest no. would be 11 less then greatest no. Thn difference is 11

Is this solution Helpfull? Yes (12) | No (10)  

shikha pandey  (8 years ago)

Prasanth where m i repeating the numbers?.. i m just saying that th. Difference between greatest no and second greatest will be 11. If both are divisible by 11 it does't matter what the no is

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

Nikhil Verma  (7 years ago)

1st largest number(9 digit):- 987652413 (divisible by 11.)
2nd largest number(9 digit):- 987652314 (divisible by 11.)
difference= 99

Is this solution Helpfull? Yes (2) | No   

thjkhffn  (8 years ago)

no need to exercise brain much because in question there is nothing mention about second highest number about repetition of their digits. so difference will be 11.

Is this solution Helpfull? Yes (1) | No (5)  

Prasanth  (8 years ago)

shikha pandey wrong answer
Because in ques they said "digits are 1 to 9 with out repeat". so don't repeat number

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Prasanth  (8 years ago)

alka patel wrong answer
Because 987651423 is the largest number i think

Is this solution Helpfull? Yes | No (1)  

kushi  (8 years ago)

I agree with shika.. For example take 638 and 627 whose difference is 11

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