reasoning type

no idea dude.........i m .blank[7]

hehe.........akand........she is a genius as in her pic..............

hehe......gini pig i m ...not genius.....wud have solved this question if i were.......

answer is A

ya kamal............she alreadyy told that itz A but she is asking for the explanation..dude tell the explanation .........

now,

2222 ≡ 3(mod7)
5555 ≡ 4(mod7)

it can be written as

(2222⁵⁵⁵⁵+4⁵⁵⁵⁵)+(5555²²²² - 4²²²²)+(4²²²² - 4⁵⁵⁵⁵)

2222⁵⁵⁵⁵+4⁵⁵⁵⁵ is divisible by 7 as 5555 is odd and 2226(=2222+4) is divisible by7

similarly

5555²²²² - 4²²²² is divisible by 7 as 5551 (5555-4) is divisible by7

now , 4⁵⁵⁵⁵=1024¹¹¹¹

and 4²²²² = 16¹¹¹¹
now,

1024(mod7) = 16(mod7) = 2

therefore,

1024¹¹¹¹(mod7) = 16¹¹¹¹(mod7) = 2^3(370)+1(mod7) = 2

so we have,

4⁵⁵⁵⁵ = 7m+2 and

4²²²² = 7n+2 (for some m,n belongs to integers)

so (4²²²² - 4⁵⁵⁵⁵) = 7(n-m) = 7p

so we have

(2222⁵⁵⁵⁵+4⁵⁵⁵⁵)+(5555²²²² - 4²²²²)+(4²²²² - 4⁵⁵⁵⁵) is divisible by 7

and statement 2 correctly explains statement 1

thanx alot .......[1]