An interesting question ~ 03

Def : {a} = min (a-[a] , [a]+1-a)

'{a}' can be defined as the distance of 'a' to the nearest integer on number line...

6n-1
Find Σ min ({r/3n} , {r/6n})
r=1

17 Answers

62
Lokesh Verma ·

maq solve this one.. dude... i think it is a good question..

if u dont i will put it as the QOD ;)

13
MAK ·

thanq [1]

62
Lokesh Verma ·

good one celestine... :)

9
Celestine preetham ·

as nishant sir said div exp into 2 exp , for 2nd exp put r=6n -r to make it similar to ist exp

so ans is 2 (Σ 1 to 3n min of those tings )
= 2 ( Σ1 to 2n r/6n + Σ 2n+1 to 3n 1 - r/3n )

simplify

9
Celestine preetham ·

ans is n

13
MAK ·

hmmm... may be... me too didn't write it completely on paper...

juzz wrote 2-3 initiation steps... n then closed my buk n went to drink water... [6] [4]

62
Lokesh Verma ·

oh it is not too lengthy...

Not vulgarly lengthy i mean...

But then i havent written it on pen and paper.. so cant say :)

13
MAK ·

don't make an impression dat i couldn't solve it... make an impression dat i didn't solve it... [3] [4]

13
MAK ·

nope bro... i didn't solve it... juzz because it seemed too lengthy at first site... so i left it... [2]

well, make it d question of d day... i'm more interested in watching how others solve such questions rather than solving it myself... [6]

plzz make it QOD... [1]

13
MAK ·

[12]

62
Lokesh Verma ·

arrey MAQ did u not understand the hint?

62
Lokesh Verma ·

'
hint :

when r=3n/2 then
take the limits like r=1 to 3n
3n+1 to 6n-1

1
greatvishal swami ·

hmmm

11
Anirudh Narayanan ·

Everyone's too dazed to reply. Let them recover from their stupor first [1]

13
MAK ·

[11] [2]

33
Abhishek Priyam ·

[12]

11
Anirudh Narayanan ·

[7][7][7]

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