Elitmus
Exam
Numerical Ability
Number System
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
Read Solution (Total 9)
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- largest number is 987652413 and second largest is 987652314
so difference is 99. - 8 years agoHelpfull: Yes(19) No(0)
- 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 - 8 years agoHelpfull: Yes(16) No(8)
- 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 - 8 years agoHelpfull: Yes(12) No(10)
- 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
- 8 years agoHelpfull: Yes(3) No(6)
- 1st largest number(9 digit):- 987652413 (divisible by 11.)
2nd largest number(9 digit):- 987652314 (divisible by 11.)
difference= 99 - 8 years agoHelpfull: Yes(2) No(0)
- 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.
- 8 years agoHelpfull: Yes(1) No(5)
- shikha pandey wrong answer
Because in ques they said "digits are 1 to 9 with out repeat". so don't repeat number - 8 years agoHelpfull: Yes(0) No(0)
- alka patel wrong answer
Because 987651423 is the largest number i think - 8 years agoHelpfull: Yes(0) No(1)
- I agree with shika.. For example take 638 and 627 whose difference is 11
- 8 years agoHelpfull: Yes(0) No(2)
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