Important Questions of Relations and Functions Mathematics | Zigya

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201.

If f(x) = 2x4 - 13x2 + ax + b is divisible by x2 - 3x + 2, then (a, b) is equal to

  • (- 9, - 2)

  • (6, 4)

  • (9, 2)

  • (2, 9)


202.

Let S be a finite set containing n elements. Then the total number of commutative binary operation on S is

  • nnn + 12

  • nnn - 12

  • nn2

  • 2n2


203.

The output of the circuit is

  • (x2 + x3) . [(x1 · x2) . x3']

  • (x2 + x3') . [(x1 · x2) . x3']

  • (x2 + x3) + [(x1 · x2) . x3']

  • (x2 . x3) . [(x1 · x2) . x3']


204.

The value of log220log280 - log25log2320 is equal to

  • 5

  • 6

  • 7

  • 8


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205.

Let B be a boolean algebra. If a, b  B, then (x - y)' is equal to

  • a . b

  • x . y'

  • x' . y'

  • x' + y'


206.

The output of the circuit is

  • x3 . (x'1 + x2)

  • (x'3 + x2) . x1

  • x'3 . (x1 + x2)

  • (x1 + x2) . x3


207.

The boolean expression corresponding to the combinational circuit is

  • (x1 + x2 · x'3)x2

  • (x1 . (x2 + x3)) + x2

  • (x1 . (x2 + x'3)) + x2

  • (x1 + (x2 + x'3)) + x3


208.

In a boolean algebra B with respect to '+' and '.', x' denotes the negation of x B. Then

  • x - x' = 1 and x · x' = 1

  • x + x' = 1 and x . x' = 0

  • x + x' = 0 and x . x' = 0

  • x + x' = 0 and x . x' = 0


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209.

If a function f satisfies f {f(x)} = x + 1 for all real values of x and if f (0) = 12, then f(1) is equal to

  • 12

  • 1

  • 32

  • 2


210.

The domain of the function f(x) = log2(log3(log4(x))) is

  • - , 4

  • 4, 

  • (0, 4)

  • 1, 


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