Let us assume
P = ?1 + a + ?1 - a
Square on both side,
P 2 = ( ?1 + a + ?1 - a ) 2
Use the formula ( a + b ) 2 = a 2 + b 2 + 2ab
we will get
? P 2 = (1 + a) + (1- a) + 2 ?1 + a x ?1 - a
? P 2 = (1 + a) + (1- a) + 2 ?(1 + a ) x ( 1 - a )
? P 2 = 2 + 2 ?1 - a2
? P 2 = 2 (1 + ?1 - a2)
Now put the value of a which is given in question;
? P 2 = 2 (1 + ?1 - ( ?3/2 )2)
? P 2 = 2(1 + ?1 - 3/4 )
? P 2 = 2(1 + ?1/4 )
? P 2 = 2(1 + 1/2) = 2 x 3/2 = 3
? P= ?3
? (?1 + a + ?1 - a) = ?3
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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