Question
If x 4 – 83x 2 + 1 = 0, then
the value of x 3 - x -3 can be:Solution
x 4 – 83x 2 + 1 = 0
So, (x 2 + 1/x 2 ) = 83
So, (x – 1/x) = √(83 – 2) = 9
So, x 3 - x -3 = 729 + 3 × 9 = 756
What should come in place of (?) question mark in the given number series.
81, 73, 66, 60, 55, ?
14 6 4 4 ? 48
...What should come in place of (?) question mark in the following number series.
5, 11, 23, 47, 95, ?
In each of the following number series, one term is missing. Find the missing term.
1, 4, 9, 16, 25, ?
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
156, 182, 210, 240, 272, ?
31 32 35 ? 47 56
...What should come in place of (?) question mark in the following number series.
1, 2, 6, 24, 120, ?
What value should come in the place of (?) in the following number series?
71, 72, 76, 103, ?, 244254, ?, 1022, 1150, 1214, 1246
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