Latest Huawei Aptitude Question SOLUTION: Q. The sum of 25 consequtive integers (including negative, positive and zero) is divisible by Option a) 5 b) 10 c) 25 d) 15

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Q. The sum of 25 consequtive integers (including negative, positive and zero) is divisible by

Option
a) 5
b) 10
c) 25
d) 15

Asked In Huawei AVINASH KUMAR (11 years ago)

Solved Jeevan Read Solution (3)

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Read Solution (3) :

Jeevan  (11 years ago)

Both 5 and 25.

If numbers are
a-12,a-11,...,a, a+1,a+2,...,a+12
Then sum of integers = 25a which is divisible by 5 and 25.

Is this solution Helpfull? Yes (21) | No (3)  

chandra sehkhar gupta  (11 years ago)

suppose 25 consequtive no. are a,a+1,a+2...a+24
sum of them is-> a+(a+1)+(a+2)...+(a+24)
25a+(1+2+3+....+24)
25a+[24/2(1+24)]
25a+300
25(a+12)...which is divisible by 25.

Is this solution Helpfull? Yes (8) | No (6)  

amit singh  (10 years ago)

maximum negative no. =-12
max positive no. =12
then in between these series only series may be-12,-11,.....0.....11,12
and sum =0
if it starts from -11 to 13 then sum will be 25
if it starts from -10+(-9)+......+0+.......+9+10+11+12+13+14=50
if -9 to 15=10+11+12+13+14+15=75........thats why it will be divisible by 25

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