Tag: math & puzzles

Questions Related to math & puzzles

If f ' is the derivative of f, then the derivative of the inverse of f is the inverse of f '.

general knowledge math & puzzles

  1. True

  2. False

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Correct Option: B

A horizontal asymptote may intersect the graph of the function.
general knowledge math & puzzles

  1. True

  2. False

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Correct Option: A

If f(x) and g(x) are such that lim f(x) as x --> a = + infinity and lim g(x) as x --> a = 0 Then
general knowledge math & puzzles

  1. lim [ f(x) . g(x) ] as x --> a is always equal to 0

  2. lim [ f(x) . g(x) ] as x --> a is never equal to 0

  3. lim [ f(x) . g(x) ] as x --> a may be +infinity or -infinity

  4. lim [ f(x) . g(x) ] as x --> a may be equal to a finite value

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Correct Option: C,D

If functions f(x) and g(x) are continuous everywhere and f(1) = 2, f(3) = -4, f(4) = 8, g(0) = 4, g(3) = -6 and g(7) = 0 then lim (f + g)(x) as x approaches 3 is equal to

general knowledge math & puzzles

  1. -10

  2. -11

  3. -15

  4. cannot find a value for the above limit since only values of the functions are given.

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Correct Option: A

If functions f(x) and g(x) are continuous everywhere then

general knowledge math & puzzles

  1. (f / g)(x) is also continuous everywhere

  2. (f / g)(x) is also continuous everywhere except at the zeros of g(x)

  3. more information is needed to answer this question

  4. none of the above

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Correct Option: B

A cube with edge length x and a right cylinder with circular base have the same volume. Find x ,in cm, if the radius of the cylinder is 5 cm and its height is 5 cm.
general knowledge math & puzzles

  1. 5(Pi)^1/3

  2. 5Pi

  3. 125Pi

  4. 125

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Correct Option: A

Find, in square cm, the area of an equilateral triangle of side 20 cm

general knowledge math & puzzles

  1. 200?3

  2. 100?3

  3. 50?3

  4. 400

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Correct Option: B

In an arithmetic series, the 3rd term is equal to 114 and the last term is equal to -27. The sum of all terms in the series is equal to 2325. What are the last three terms in the series?
general knowledge math & puzzles

  1. -7 , -17 , -27

  2. -25 , -26 , -27

  3. 27 , 0 , -27

  4. -21 , -24 , -27

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Correct Option: D

The range of f(x) = x2 -2x + 1 is given by the interval
general knowledge math & puzzles

  1. [0 , +infinity)

  2. (-infinity , 1]

  3. (0 , + infinity)

  4. (1 , + infinity)

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Correct Option: A

Which of the following is equivalen to 6x2 - 11x - 2?
general knowledge math & puzzles

  1. (6x - 1)(x + 2)

  2. (3x - 1)(2x + 2)

  3. (3x + 1)(2x - 2)

  4. (6x + 1)(x - 2)

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Correct Option: D