The value of log220log280 - log25log2320 is equal to
5
6
7
8
If the matrix Mr is given by Mr = rr - 1r - 1r, r = 1, 2, 3, ..., then the value of det(M1) + det(M2) + ... + det(M2008) is
2007
2008
(2008)2
(2007)2
Let A = α255- α and A10 = 1024, then α is equal to
2
- 2
3
- 3
If w ≠ 1 is a cube root of unity, then the value of
1 + 2w100 + w200w2111 + w100 + 2w200www22+ w100 + w200 is equal to
0
1
w
w2
A.
Let ∆ = 1 + 2w100 + w200w2111 + w100 + 2w200www22+ w100 + w200 = 1 + 2w + w2w2111 + w + 2w2www22+ w + w2 = ww211w22ww21 = 0 ∵ Rows R1 and R3 are identical
If α is a cube root of unity, then the value of
αα3α5α3α5αα3αα3 is equal to
3α3
3α3 + α6 + α9
3α + α2 + α3
If fα = 1αα2αα21α21α, then f33 is equal to
- 4
4
If A = 333333333, then A4 is equal to
27 A
81 A
243 A
729 A
Let B be a boolean algebra. If a, b ∈ B, then (x - y)' is equal to
a . b
x . y'
x' . y'
x' + y'
The output of the circuit is
x3 . (x'1 + x2)
(x'3 + x2) . x1
x'3 . (x1 + x2)
(x1 + x2) . x3
If tan-1x2 + cot-1x2 = 5π28, then x is equal to
- 1