Latest TCS Aptitude Question SOLUTION: sum of consecutive odd numbers when divided by 10 gives a perfect square. One of the two digit number may be option a) 67 b) 31 c) 41 d) 93

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sum of consecutive odd numbers when divided by 10 gives a perfect square. One of the two digit number may be
option
a) 67
b) 31
c) 41
d) 93

Asked In TCS Shubhashish gaurav (10 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

abhinav paul  (10 years ago)

its given sum of consecutive odd numbers. how many numbers we should add is not mentioned. odd numbers-1,3,5,7,9. to make sum divide by 10, 5 cant be used as 1+3+7+9 gives 0 at unit place.
so, 37+39+41+43=160 -> 16/10=16 (square of 4)
and also, 87+89+91+93=360 ->360/10=36 (square of 6)
hence both digits are valid.

Is this solution Helpfull? Yes (22) | No (4)  

DeXtEr  (10 years ago)

e) none of these

Is this solution Helpfull? Yes (18) | No (2)  

mehak jindal  (10 years ago)

41 ans
two odd no be=x-1
x+1
(x-1+x+1)/10=4(perfect sq)
x=40
one no is 39
2nd is 41

Is this solution Helpfull? Yes (14) | No (28)  

gulshan  (10 years ago)

37+39+41=117
117/10 rem will be 17 this incorrect way.

31+33+35=99
99/10 rem will be 9 so 9 is a perfect sqrt. so 31 will be ans.

but in the given question not defind the how many odd no add.

Is this solution Helpfull? Yes (6) | No (3)  

NILESH GHOSH  (10 years ago)

31+33=64=square(8)

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

veerapuraju pavan ajay  (10 years ago)

let us take x as odd number
so consecutive numbers be x,x+2,x+4,x+6,x+8,x+10,x+12,
x+14,x+16&x+18
sum of all consecutive numbers are (10x+80)/10=(x+8)=perfect square
take x=17 ;17+8=25(perfect square)
s0 x+14==17+14=31
ans=31

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Shubhashish gaurav  (10 years ago)

its 41
37+39+41+43=160

Is this solution Helpfull? Yes (2) | No (3)  

Rudra  (10 years ago)

@Shubhashish gaurav ..........plzzz tell how many odd nos. should be added???

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Mahendra Sethiya  (10 years ago)

64 is ans

Is this solution Helpfull? Yes | No (2)  

garima sharma  (10 years ago)

here no. of odd cosecutive no.s are not mentioned
hence if we take 3 consecutive odd no.s then let it be:x-1,x+1,x+3.
(x-1+x+1+x+3)/10=9
3x+3=90
x=29
.'.ans shud be 28,30 n 32 which is wrong
so the answer should be none of these.

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priya saha  (10 years ago)

ansr is non of these.........

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priya saha  (10 years ago)

my bad the correct ansr is 41.
as the nmber of consecutive numbers yo b added is not mentioned.

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Shuva Bhowmik  (10 years ago)

non of these

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