Let p(N) = 8 (N5 - N3 + N)
= 4 x 2 x N (N4 - N2 + 1)
and q(N) = 28 (N6 + 1)
= 7 x 4 [( N2)3 + (1)3]
= 4 x 7 (N2 + 1) ( N4 - N2 + 1)
? HCF of p(N) and q (N) = 4 (N4 - N2 + 1)
4th observation i.e., 8 is the median.
47/10000 = .0047
.02 =(2/100) x 100% =2%
Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.
121012 = 12 x 10084 + 4
? remainder = 4
We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days
? = 750.0003 ÷ 19.999
? ? ? 750 ÷ 20
? ? ? 375 ? 38
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