Latest Wipro Aptitude Question SOLUTION: Find the largest 4-digitnumber, which gives the remainder 7 and 13 when divided by 11 and 17?

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(#M40153023) WIPRO Numerical Ability question Keep an EYE

Find the largest 4-digitnumber, which gives the remainder 7 and 13 when divided by 11 and 17?

Asked In Wipro Sushmitha (8 years ago)

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manju shree  (8 years ago)

LCM of 11 and 17 is 187
when divided by 11 remainder 7,so difference 4
when devided by 17 remainder 13,so difference 4
Largest no exactly devide by 11 & 17=9911(because 9999/187=quotient53 and remainder 88
so 9999-88=9911)
the no is 9911-4=9907

ans=9907

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bojanapu prashanthi  (8 years ago)

let N be such number satisfying given conditions
i.e. N = 11a + 7 where a is any whole number
&N = 17b + 13 where b is any whole number
Here remainder is not same but the difference between the remainder and the divisor is same i.e. 11-7 =17-13=4
Hence N must be of the form
N=(LCM of 11, 17) p – 4where p is any whole number
Since LCM of 11 and 17 is 187so the number must be in the form
N=187 p – 4
The largest value of “p” possible so that the N remains 4-digit number is 53.
Therefore, 187p= 187 x 53=9911.
Hence the largest 4-digitnumber, which gives the remainder 7 and 13 when divided by 11 and 17, is 9907.

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lakshmi priya  (8 years ago)

9992
solving 9999/11=909 so 9999-9=9992

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ROHIT TOMAR  (8 years ago)

it will be 9907.

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lakshmi priya  (8 years ago)

l.c.m of two num is 187
remainder diff is 4
so 9911 s exactly divisble by 187
to get 4 has we should add 4 not sub
so the ans is 9911+4=9914

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