Latest Elitmus Aptitude Question SOLUTION: A palindrome no.is a no which appears/read as same when read in reverse order,eg 1221.x is a two digit palindrome no.and y is three digit palindrome no.z=x+y. What is the middle di

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(#M40037871) ELITMUS Logical Reasoning question Data Sufficiency Keep an EYE

A palindrome no.is a no which appears/read as same when read in reverse order,eg 1221.x is a two digit palindrome no.and y is three digit palindrome no.z=x+y.
What is the middle digit in y?
Conditions:
a)z is a 4 digit palindrome no.
b)z is an odd no.

Asked In Elitmus Saurabh (10 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Rajamohan Raju  (10 years ago)

X must be anyone among 11,22,33,44,55,66,77,88,99.
Y must be anyone among 1k1,2k2,3k3,4k4,5k5,6k6,7k7,8k8,9k9 [ where k is a variable no from 1 to 9].
There arises only one choice for Y to make Z a 4 digit number i.e 9k9.
Y is having odd number at its unit position. So it must be added with a even number to get an odd number.
Also Z must consist 1 in its unit position because the thousands position must not exceeded by 1999.
So X must be 22.
then The obvious chance goes for Y is 979. So the middle number of Y is 7.

Is this solution Helpfull? Yes (11) | No   

LOKESH SAMANT  (10 years ago)

both required

979+22=1001

in which 1001 & 979 & 22 r palindrom no.

Is this solution Helpfull? Yes (9) | No (5)  

nageshwarnk  (10 years ago)

since x is 2 digit palindrome no. i.e
x={11,22,33,44,.....,99}
y is three digit no.(given)
z=x+y
a)z is a 4 digit palindrome no
e.g z=1111(let)
z=x+y
y=z-x
1111-11=1100(which is not palindrome)
u can take another no also
b)z is an odd no
z=121(let y)+X
since x can be even(22,44,66,88) or odd(11,33,55,77,99)
so z can be even or odd
so both statement are wrong.

Is this solution Helpfull? Yes (6) | No (4)  

dhamu  (10 years ago)

only option a is sufficient.
given Y is a 3 digit,X is 2 digit and let Z be a 4 digit number.
since sum of a 3 digit and a 2 digit gave an 4 digit number,
Y=9a9 and z= 1bb1, where a,b=0,1,2....9
try for trail and error
we get oniy 979+22=1001

Is this solution Helpfull? Yes (4) | No (3)  

Ranjeet  (10 years ago)

only sttmnt 1 requr.....

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

Raashid khan  (10 years ago)

Only statement a is required as for finding 4 digit palindrome no. y needs to 999 and x needs to be 99, adding up to 1098, so middle digit can be found but using both together will no bring the answer

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ayanava  (9 years ago)

using one statement only

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