Let the total pages are 'n'. We have
1 + 2 + 3 + .........+n = 1097
⇒ n(n+1)/2 = 1096
n (n+1) = 2194
The square nearest to 2194 is 2209.This is the square of 47. Hence, we will take n= 63.
Therefore, sum of the pages= n(n+1)/2 = 47*48/2= 1128
Missing number = 1128-1097 =31.
Now, we have to think of 2 consecutive numbers whose sum is 31.
x+x+1=31 ⇒ ×= 15, x+1= 16
Mr. Ramanujam asked his students to find the sum of all pages of their maths book. Chatur gave the answer as 643.The teacher told him that he has not added one page.
Find the page number which the Chatur forgot to add?
To fill a bucket, 25 jugs of water is required. How many jugs of water will be required to fill the same bucket if the capacity of jug is reduced to two-fifth of its present ?