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Objective Questions

Latest CUET PG Bioinformatics Exam Question (Objective Questions), MCQ in English

Subjects : Bio-Informatics

Question Bank CUET PG Bio-Informatics Exam - English
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Bio-Informatics

Question 1Single Answer
What is the limit of the function f(x) = (x2 - 4) / (x - 2) as x approaches 2?
  1. A
    0
  2. B
    2
  3. C
    4
  4. D
    Undefined
Question 2Single Answer
A function f(x) is continuous at x = a if:
  1. A
    lim x→a f(x) exists
  2. B
    f(a) exists
  3. C
    lim x→a f(x) = f(a)
  4. D
    All of the above
Question 3Single Answer
What is the derivative of f(x) = x3 + 2x2 - 5x + 1?
  1. A
    3x2 + 4x - 5
  2. B
    3x2 + 4x + 5
  3. C
    x2 + 2x - 5
  4. D
    x3 + 4x - 5
Question 4Single Answer
If y = xn, then the nth derivative of y is:
  1. A
    n!
  2. B
    x
  3. C
    0
  4. D
    1
Question 5Single Answer
What is the derivative of sin(x)?
  1. A
    -cos(x)
  2. B
    cos(x)
  3. C
    sec2(x)
  4. D
    -sec2(x)
Question 6Single Answer
What is the integral of ex dx?
  1. A
    ex + C
  2. B
    -ex + C
  3. C
    x*ex + C
  4. D
    e(x+1) + 
Question 7Single Answer
What is the derivative of ln(x)?
  1. A
    1/x
  2. B
    x
  3. C
    ex
  4. D
    -1/x
Question 8Single Answer
What is the second derivative of x4?
  1. A
    12x2
  2. B
    4x3
  3. C
    24x
  4. D
    4x
Question 9Single Answer
What is the order of the differential equation dx + y = x2?
  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    3
Question 10Single Answer
What is the degree of the differential equation (dx)2 + y = x?
  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    0
Question 11Single Answer
What is the Laplace transform of t?
  1. A
    1/s
  2. B
    1/s2
  3. C
    s
  4. D
    s2
Question 12Single Answer
What is the derivative of e(2x)?
  1. A
    e(2x)
  2. B
    2e(2x)
  3. C
    ex
  4. D
    2x*e(2x)
Question 13Single Answer
What is the integral of x dx?
  1. A
    x + C
  2. B
    ln|x| + C
  3. C
    1/x2 + C
  4. D
    -1/x^2 + C
Question 14Single Answer
What is the limit of (1 + n)n as n approaches infinity?
  1. A
    0
  2. B
    1
  3. C
    e
  4. D
    Infinity
Question 15Single Answer
What is the derivative of tan(x)?
  1. A
    sec(x)
  2. B
    sec2(x)
  3. C
    -sec2(x)
  4. D
    -sec(x)
Question 16Single Answer
What is the Laplace transform of sin(at)?
  1. A
    a/(s2 + a2)
  2. B
    s/(s2 + a2)
  3. C
    a/(s2 - a2)
  4. D
    s/(s2 - a2)
Question 17Single Answer
What is the integral of xn dx, where n ≠ -1?
  1. A
    ln|x| + C
  2. B
    x(n+1) + C
  3. C
    xn + C
  4. D
    x(n-1) + C
Question 18Single Answer
What is the limit of 1 - cos(x)x2 as x approaches 0?
  1. A
    0
  2. B
    1
  3. C
    1/s
  4. D
    Infinity
Question 19Single Answer
What is the second derivative of e(x2)?
  1. A
    2e(x^2)
  2. B
    4x2e(x2)
  3. C
    (4x2 + 2)e(x2)
  4. D
    2xe(x2)
Question 20Single Answer
What is the integral of sec2(x) dx?
  1. A
    tan(x) + C
  2. B
    -tan(x) + C
  3. C
    sec(x) + C
  4. D
    -sec(x) + C
Question 21Single Answer
What is the Laplace transform of cos(at)?
  1. A
    a/(s2 + a2)
  2. B
    s/(s2 + a2)
  3. C
    (s2 - a2)
  4. D
    (s2 - a2)
Question 22Single Answer
What is the derivative of (x2 + 1)?
  1. A
    (x2 - 2x - 1)
  2. B
    (x2 + 2x + 1)
  3. C
    (x - 1)
  4. D
    2x
Question 23Single Answer
What is the integral of e(-ax) dx?
  1. A
    e(-ax) + C
  2. B
    -e(-ax) + C
  3. C
    e(-ax) + C
  4. D
    -ae(-ax) + C
Question 24Single Answer
What is the limit of (ex - 1) as x approaches 0?
  1. A
    0
  2. B
    1
  3. C
    e
  4. D
    Infinity
Question 25Single Answer
What is the integral of (1 + x2) dx?
  1. A
    ln(1 + x2) + C
  2. B
    arctan(x) + C
  3. C
    arcsin(x) + C
  4. D
    arccos(x) + C
Question 26Single Answer
What is the Laplace transform of t2?
  1. A
    s3
  2. B
    2
  3. C
    s2/2
  4. D
    2s2
Question 27Single Answer
What is the derivative of xx?
  1. A
    x(x-1)
  2. B
    xx(1 + ln(x))
  3. C
    xx
  4. D
    ln(x)
Question 28Single Answer
What is the second derivative of ln(x2)?
  1. A
    2/x
  2. B
    -2/x2
  3. C
    1/x
  4. D
    -1/x2
Question 29Single Answer
What is the integral of 1/sqrt(1 - x2) dx?
  1. A
    arctan(x) + C
  2. B
    arcsin(x) + C
  3. C
    arccos(x) + C
  4. D
    ln(1 - x2) + C
Question 30Single Answer
What is the Laplace transform of e(at)?
  1. A
    1/(s-a)
  2. B
    1/(s+a)
  3. C
    s/(s-a)
  4. D
    s/(s+a)
Question 31Single Answer
What is a power series?
  1. A
    A series with constant terms.
  2. B
    A series of the form Σ a_n (x - c)n.
  3. C
    A series with alternating signs.
  4. D
    A series with only positive terms.
Question 32Single Answer
What is the formula for the mean of a Poisson distribution?
  1. A
    λ
  2. B
    λ2
  3. C
    1/λ
  4. D
    λ(1-λ)
Question 33Single Answer
What is the formula for the variance of a Poisson distribution?
  1. A
    λ
  2. B
    λ2
  3. C
    1/λ
  4. D
    λ(1-λ)
Question 34Single Answer
What is the formula for the mean of a Normal distribution?
  1. A
    μ
  2. B
    σ
  3. C
    σ2
  4. D
    μ + σ
Question 35Single Answer
What is the formula for the variance of a Normal distribution?
  1. A
    μ
  2. B
    σ
  3. C
    σ2
  4. D
    μ + σ
Question 36Single Answer
What is the general equation of a plane in 3D space?
  1. A
    ax + by + cz = d
  2. B
    x2 + y2 + z2 = r2
  3. C
    y = mx + c
  4. D
    x2/a2 + y2/b2 = 1
Question 37Single Answer
What is the equation of a straight line in 2D space?
  1. A
    ax + by + cz = d
  2. B
    x2 + y2 + z2 = r2
  3. C
    y = mx + c
  4. D
    x2/a2 + y2/b2 = 1
Question 38Single Answer
What is the interval of convergence of a power series?
  1. A
    The radius of convergence.
  2. B
    The set of x values where the series converges.
  3. C
    The sum of the coefficients.
  4. D
    The derivative of the series.
Question 39Single Answer
What is an alternating series?
  1. A
    A series with constant terms.
  2. B
    A series where the terms alternate in sign.
  3. C
    A series with only positive terms.
  4. D
    A series with only negative terms.
Question 40Single Answer
What is the alternating series test?
  1. A
    A test for convergence of series with positive terms.
  2. B
    A test for convergence of alternating series.
  3. C
    A test for divergence of series.
  4. D
    A test for convergence of power series.
Question 41Single Answer
What is absolute convergence?
  1. A
    Convergence of the series of absolute values.
  2. B
    Convergence of the series with alternating signs.
  3. C
    Divergence of the series.
  4. D
    Convergence of the series with positive terms.
Question 42Single Answer
What is conditional convergence?
  1. A
    Convergence of the series of absolute values.
  2. B
    Convergence of the series, but divergence of the series of absolute values.
  3. C
    Divergence of the series.
  4. D
    Convergence of the series with positive terms.
Question 43Single Answer
What is the ratio test used for?
  1. A
    Testing convergence of alternating series.
  2. B
    Testing convergence of series with positive terms.
  3. C
    Testing divergence of series.
  4. D
    Testing convergence of power series.
Question 44Single Answer
What is the root test used for?
  1. A
    Testing convergence of alternating series.
  2. B
    Testing convergence of series with positive terms.
  3. C
    Testing divergence of series.
  4. D
    Testing convergence of power series.
Question 45Single Answer
What is a monotone sequence?
  1. A
    A sequence that is constant.
  2. B
    A sequence that is either non-decreasing or non-increasing.
  3. C
    A sequence that is oscillating.
  4. D
    A sequence that is unbounded.
Question 46Single Answer
What is the monotone convergence theorem?
  1. A
    A bounded monotone sequence converges.
  2. B
    A monotone sequence diverges.
  3. C
    A constant sequence diverges.
  4. D
    An oscillating sequence converges.
Question 47Single Answer
What is a subsequence?
  1. A
    A sequence formed by selecting elements from another sequence.
  2. B
    A sequence with constant terms.
  3. C
    A sequence that is unbounded.
  4. D
    A sequence that diverges.
Question 48Single Answer
What is the Bolzano-Weierstrass theorem?
  1. A
    Every bounded sequence has a convergent subsequence.
  2. B
    Every convergent sequence is bounded.
  3. C
    Every unbounded sequence diverges.
  4. D
    Every constant sequence converges.
Question 49Single Answer
What is uniform continuity?
  1. A
    Continuity at a single point.
  2. B
    Continuity where the same delta works for all points in the domain.
  3. C
    Continuity where the function is constant.
  4. D
    Continuity where the function is unbounded.
Question 50Single Answer
What is a compact set?
  1. A
    A set that is both open and closed.
  2. B
    A set that is both bounded and closed.
  3. C
    A set that is open.
  4. D
    A set that is unbounded.
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