Latest CAT Aptitude Question SOLUTION: If the sum of two consecutive two digit odd numbers, divided by 7, it becomes a perfect square. Find the numbers ?

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(#M40010376) CAT question Keep an EYE

If the sum of two consecutive two digit odd numbers, divided by 7, it becomes a perfect square. Find the numbers ?

Asked In CAT Devendra Marghade (11 years ago)

Unsolved Read Solution (6)

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MP   (11 years ago)

(55,57) and (13,15)

Is this solution Helpfull? Yes (8) | No (2)  

Arneet  (11 years ago)

55 and 57

55+57 = 112
112/7 = 16 = 4^2

Is this solution Helpfull? Yes (7) | No (3)  

Guru Prasanth  (11 years ago)

Purely Trail n Error:

Consider Perfect squares first:
1,4,9,16,25,36,etc

Max sum of two consecutive two digit odd numbers: 99 n 97 =196

Sum of two consecutive two digit odd numbers: So 1,4,9 cant be the answer . Also 36 * 7 =252 (Which exceeds 196) cant be the answer.

16 or 25 must be the answer now.

25 * 7 = 175(Sum of two odd number wont produce odd number again)

So 16 must be answer (Again if u want 16 * 7= 112,,,, (112/2= 56) So consecutive two digit odd numbers are 55 n 57 .) :P

Is this solution Helpfull? Yes (4) | No (7)  

Vickyy  (11 years ago)

The answer can also be 13 and 15
The sum is 28, when divided by 7 it becomes 4 which
is a perfect square of 2.
Its not mentioned in the question that the perfect square
is a double digit number. Only the two consecutive odd digits are
given as double digits

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

akhilesh  (11 years ago)

perfect multiples of 7.
for ex:two odd nos 2n-1,2n+1.then add it wil be 4n.if n is perfect multiples of 7 like n=(1,4,9.....)*7

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SATISH VARADA  (11 years ago)

13,15
2x+1+2x+3=4x+4
hit n trail method

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