Hello Tarishi , General term of (2x – 1/x) n = nCr (2x)r (-1/x)(n-r) = nCr (2r) (-1)(n-r) xr(1/x)(n-r) Now , for constant term , power of x = 0 r...

Alternate Approach : House __________________D __________________School Let the original time taken be t then , D/4 = ( t - 10)/ 60 or t - 10 = 15 D...

Hello Tarishi , PFA the solution

Hello Tarishi (x - 2) = 2⅔ + 2⅓ Cubing both sides (x - 2)³ =( 2⅔ + 2⅓ )³ = (2⅔)³ + ( 2⅓)³ + 3•2⅔• 2⅓( 2⅔ + 2⅓ ) [( a + b)³ = a³ + b³ + 3ab ...

Hello Richa , ( n + 32)2 is divisible by n +4 => ( n + 32)2 = ( [n + 4] + 28)2so , 282 should be divisible by n + 4 (n is a natural number s...

You can see words starting with A , B , I , N and O make up 3600 words . By options if you go only option (C) is more than 3600 . Hence 3631 will be t...

Hello Richa, Arrange letters in alphabetical order: ie, A,B,I,N,O,R,W. Now words starting with A/B/I/N/O will come ahead of the words starting ...

Hello Samyak, PFA the solution .

Hello Aniket , 6k and 6n are the factors , where k and n are coprime to each other . => k,n are the coprime factors of 3600. 3600 = 24 32 52 k ...

Hello Rhythm, 536 - 1 = 2518 - 1 = (24 + 1)18 - 1 Now just expand binomially and the last term has the lowest power of 12 i.e 2418 + 18 × 2417 + ... ...

Hello Aniket , PFA the attached solution .

If repition allowed : _ _ _ _ Keep one digit fixed . We are left with 3 blanks and 4 digits So fill them in 4 × 4 × 4 ways Hence , (1 + 2 + 3 + 4)...

Hello Richa , 1234 = 10³ • 1 + 10² • 2 + 10 • 3 + 4 10³ • 1 will occur altogether in 3! ways similarly each of 10³•2 , 10³•3 , 10³•4 will occur in ...

Hello Reeshabh, from 1 x 1 to 5 x 5 5 different size squares .