Latest TCS Aptitude Question SOLUTION: A two digit no is 18 less than square of the sum of its digit.how many such no are there?

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A two digit no is 18 less than square of the sum of its digit.how many such no are there?

Asked In TCS Akhilesh Agrawal (10 years ago)

Solved sandy Read Solution (16)

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Read Solution (16) :

ujjwal kumar  (10 years ago)

well got something wrong there...
ans: 2
63=(6+3)^2-18=81-18
82=(8+2)^2-18=100-18

Is this solution Helpfull? Yes (52) | No (8)  

Aakash Srivastava  (10 years ago)

2 such digits are possible.

soln:
2 digit squares are : 16,25,36,49,64,81 and 100 will also b counted as 100-18=82 which is a 2 digit number.

now use hit and try method using derived formula 10x+y + 18 = ( x + y)^2

16,25 are not possible then comes 36,49,64 the are also not the required digits.
next comes 81 : (8+1)^2= 81 also 81-18=63 where (6+3)^2=81 so, 63 is the one.
Similarly for 100 : (10+0)^2=100 also 100-18=82 where (8+2)^=100 so, 82 is second.

Is this solution Helpfull? Yes (14) | No (1)  

sandy  (10 years ago)

only 1
ans is 63
bcoz 6^2+3^2=45
63-45=18

Is this solution Helpfull? Yes (13) | No (20)  

anamika  (10 years ago)

@sandy,@ujjwal- how did u get the ans..i mean plz share ur approach as well..

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ujjwal kumar  (10 years ago)

ans: 2
63=(8+1)^2-18=81-18
82=(8+2)^2-18=100-18

Is this solution Helpfull? Yes (6) | No (2)  

sandy  (10 years ago)

ans is 63
bcoz 6^2+3^2=45
63-45=18

Is this solution Helpfull? Yes (4) | No (9)  

SHIVANI  (10 years ago)

2 no's are possible that are 63 and 82

Is this solution Helpfull? Yes (4) | No (1)  

veerapuraju pavan ajay  (10 years ago)

i think 61

Is this solution Helpfull? Yes (1) | No (3)  

sarang singla  (10 years ago)

how did you came to knw abt these 2 nos??

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komal kirti  (10 years ago)

63 ANS
63+18=(6+3)^2

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manikandan  (10 years ago)

yes only one number that is 56

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vignesh  (10 years ago)

82 ....100-18=82

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Kamlesh dabi  (10 years ago)

82 is not possible because it doesn't fulfilling the definition. we want the difference of no. and the sum of the square of the digit of that no.
In case of 82 the sum of the square of it's digit is 68 i.e. (64+4=68). now according to definition
83-68=14
That is wrong, It should have been 18.
Hence, 63 is the only no. for this question.

Is this solution Helpfull? Yes | No (6)  

beethika dash  (10 years ago)

99-18=81,8+1^2-18=63
63-18=45,4+5^2-18=63
45-18=27,2+4^2-18=63
27-18=9,9^2-18=63
there are a total of 4 ,2 digit nos.

Is this solution Helpfull? Yes | No (1)  

Guru Pranav  (10 years ago)

63, and 82 are those two number !!!

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mounika  (10 years ago)

Ans is 4.......
12,13,21,31 are the two digit no.s, these sum of individal digits square is less than the 18
(1+2)^2=9

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