4/7 = 0.57,
5/13 = 0.38,
6/11 = 0.54,
3/5 = 0.6,
2/3 = 0.67
Clearly, the second smallest fraction is 6/11.
Rs. 15000 x (99 + 1)/100 = Rs. 15000
Corresponding to each arrangement of (n - m) other books, there is a unique arrangement of the m volumes of the science book in ascending order and m! arrangement of the m volumes in random order
&Reqd. Prob = p = 1/m!
Each of the number except 54, is a multiple of 5.
Largest 5-digit number = 99999 91) 99999 (1098 91 --- 899 819 ---- 809 728 --- 81 --- Required number = (99999 - 81) = 99918.
Then, x2 = (6q + 3)2
= 36q2 + 36q + 9
= 6(6q2 + 6q + 1) + 3
Thus, when x2 is divided by 6, then remainder = 3.
Sum of even numbers = n/2[(n/2) + 1)] = (1672/2) x [(1672/2) + 1]
= 699732
9 :164/11
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