Sum of first four terms + sum of last four = 4 ( sum of first + last term ) = 408 Sum of 35 terms : 35/2 [ first term + last term ] 35/2 × 102 =...

To find minimum number of students who attended admission process of IIMA , which is the maximum ( IIMA > IIMB > IIMC ) , assign minimum valu...

Hi Nikita , Please go through this link : This theorem is valid irrespective of whether P inside/Outside or the boundary of the rectangle .

Cubes painted on two side : 24 2 faces are colored, so probability that the cubes lands on un-colored face is 4/6 Cubes painted on three sides : 8 3 ...

minimum 2 weighings.

582. Look at the facts given. Not much has been given in terms of information on the text's authenticity. Hence, if we are to believe the last stateme...

Product of first 1000 even numbers : 2 x 4 x 6 x 8 x........x 2000 = 2^1000 x ( 1 x 2 x 3 x ..... x 665 x 666 x 667 x ........ x 999 x 1000) = A Produ...

I. 172012 – 19 => difference of two odd number is always even so composite II. 152013 – 13 => even , divisible by 2 Hence , composite III. 142...

Two cases possible : (1) 3 , 3, 1 => 3C2 x 7C3 x 4C3 x 1 = 420 ways (2) 3 , 2, 2 => 3C2 x 7C3 x 4C2 x 2C2 = 630 ways Total : 420 + 630 = 105...

Diagram ?

(6-a) + (6-b) + (6-c) + (6-d) = 19 a + b + c + d = 24 - 19 = 5 Hence , 8c3 = 56 ways . ____________________________________(6-a) + (6-b) + (6-c) + (6-...

Alternatively : ( 6 -a ) + ( 6 - b) + ( 6 - c) = 11 a+ b + c = 7 9C2 = 36 solutions Remove cases when a or b, or c greater than 5 . a' + 6 +...

Some important results : Total Number of ontegral solution : | X | = n ; 2 | X | + |Y | = n ; 4n |X | + |Y | + |Y | = ; 4n² + 2 |W | + |X| ...