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Latest Goa SET Exam Question (Objective Questions), MCQ in Hindi

Subjects : Life Sciences

Question Bank Goa State Eligibility Test Exam Paper II (Life Science) - Hindi
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Life Sciences

प्रश्न 1Single Answer
Which of the following numbers is the largest?
  1. A
  2. B
  3. C
  4. D
प्रश्न 2Single Answer
The cube ABCDEFGH in the figure has each edge equal to . The area of the triangle with vertices at A, C and F is
  1. A
  2. B
  3. C
  4. D
प्रश्न 3Single Answer
What is the number of distinct arrangements of the letters of the word UGCCSIR so that U and I cannot come together?
  1. A
    2520
  2. B
    720
  3. C
    1520
  4. D
    1800
प्रश्न 4Single Answer
Suppose the sum of the seven positive numbers is 21. What is the minimum possible value of the average of the squares of these numbers?
  1. A
    63
  2. B
    21
  3. C
    9
  4. D
    7
प्रश्न 5Single Answer
Let .
Which of the following is true?
  1. A
    B < C < A
  2. B
    A < B < C
  3. C
    B < A < C
  4. D
    C < A < B
प्रश्न 6Single Answer
A circle of radius 5 units in the XY plane has its center in the first quadrant, touches the x-axis and has a chord of length 6 units on the y-axis.the coordinates of its center are
  1. A
    (4, 6)
  2. B
    (3, 5)
  3. C
    (5, 4)
  4. D
    (4, 5)
प्रश्न 7Single Answer
A wire of length 6 m is used to make a tetrahedron of each edge 1m, using only one strand of wire for each edge. The minimum number of times the wire has to be cut is
  1. A
    2
  2. B
    3
  3. C
    1
  4. D
    0
प्रश्न 8Single Answer
If the sum of the next two terms of the series below is x, what is the value of log2 x?
2, -4, 8, -16, 32, -64, 128, ……
  1. A
    128
  2. B
    10
  3. C
    256
  4. D
    8
प्रश्न 9Single Answer
A conical vessel with semi-vertical angle height 10.5 cm has a thin lid. A sphere kept inside it touches the lid. The radius of the sphere in cm is
  1. A
    3.5
  2. B
    5
  3. C
    6.5
  4. D
    7
प्रश्न 10Single Answer
Amar, Akbar and Anthony are three friends, one of whom is a doctor, another is an engineer and the third is a professor. Amar is not an engineer. Akbar is the shortest. The tallest person is a doctor. The engineer’s height is the geometric mean of the heights of the other two. Then which of the following is true?
  1. A
    Amar is a doctor and he is the tallest
  2. B
    Akbar is a professor and he is the tallest
  3. C
    Anthony is an engineer and he is shortest
  4. D
    Anthony is a doctor and he is the tallest
प्रश्न 11Single Answer
If 100 cats catch 100 mice in 100 minutes, then how long will it take for 7 cats to catch 7 mice?
  1. A
    100/7 minutes
  2. B
    100 minutes
  3. C
    49/100 minutes
  4. D
    7 minutes
प्रश्न 12Single Answer
What does this diagram demonstrate?
  1. A
  2. B
  3. C
  4. D
प्रश्न 13Single Answer
Suppose there are socks of N different colours in a box. If you take out one sock at a time, what is the maximum number of socks that you have to take out before a matching pair is found? Assume that N is an even number.
  1. A
    N
  2. B
    N + 1
  3. C
    N – 1
  4. D
    N/2
प्रश्न 14Single Answer
At what time after 4’o clock, the hour and the minute hands will lie opposite to each other?
  1. A
    4 – 50’ – 31”
  2. B
    4 – 52’ – 51”
  3. C
    4 – 53’ – 23”
  4. D
    4 – 54’ – 33”
प्रश्न 15Single Answer
Which of the following curves just touches the x-axis?
  1. A
  2. B
  3. C
  4. D
प्रश्न 16Single Answer

If AB is parallel to CD and A) = 2 OD, then the area of triangle OAB is bigger than the area of triangle OCD by a factor of
  1. A
    2
  2. B
    3
  3. C
    4
  4. D
    8
प्रश्न 17Single Answer
A semi-circular arch of radius R has a vertical pole put on the ground together with one of its legs. An ant on the top of the arch finds the angular tip of the pole to be  The height of the pole is

 
  1. A
    R
  2. B
    R
  3. C
    R
  4. D
    R
प्रश्न 18Single Answer
Suppose we make N identical smaller spheres from a big sphere. The total surface area of the smaller sphere is X times the total surface area of the big sphere, where X is
  1. A
    N
  2. B
    1
  3. C
    N1/3
  4. D
    N3
प्रश्न 19Single Answer
What is the next number in the sequence 24, 30, 33, 39, 51, ….?
  1. A
    57
  2. B
    69
  3. C
    54
  4. D
    81
प्रश्न 20Single Answer
Four lines are drawn on a plane with no two parallel and no three concurrent. Lines are drawn joining the points of intersection of the previous four lines. The number of new lines obtained this way is
  1. A
    3
  2. B
    5
  3. C
    12
  4. D
    2
प्रश्न 21Single Answer
Let f be a twice differentiable function on R. given that 
  1. A
     has exactly two solutions on R
  2. B
     has a positive solution if 
  3. C
    has no positive solution if 
  4. D
     has no positive solution if 
प्रश्न 22Single Answer
Let f be a continuously differentiable real-valued function on [a,b] such that U (f,P) and L (f,P) denote the upper and lower Riemann sums of f with respect to P. Then
  1. A
  2. B
  3. C
     is the norm of the partition
  4. D
प्रश्न 23Single Answer
Let f be a monotone non-decreasing real-valued function on R. Then
  1. A
     exists at each point a
  2. B
    If a < b, then 
  3. C
    f is an unbounded function
  4. D
    The function  is a bounded function
प्रश्न 24Single Answer
Let f be a real-valued function on R3 satisfying 
  1. A
  2. B
  3. C
     
  4. D
     must be a constant function.
प्रश्न 25Single Answer
Which of the following real-valued functions on (0,1) in uniformly continuous?
  1. A
  2. B
  3. C
  4. D
प्रश्न 26Single Answer
Let X be a metric space must be a connected set with at least two distinct points. Then the number of distinct points in A is
  1. A
    2
  2. B
    More than 2, but finite
  3. C
    Countably infinite
  4. D
    Uncountable
प्रश्न 27Single Answer
Let n be a positive integer and  is a linear transformation such that  is symmetric or skew-symmetric, then the rank of T is
  1. A
    n(n + 1)
        2
  2. B
    n(n - 1)
        2
  3. C
    N
  4. D
    0
प्रश्न 28Single Answer
Let S:R3 → R4 be linear transformations such that T°S is the identity map. Then
  1. A
    S°T is the identity map of R4
  2. B
    S°T is one-one but not onto
  3. C
    S°T is  onto, but not one-one
  4. D
    S°T is neither one-one nor onto
प्रश्न 29Single Answer
Let V be a 3-deimensional vector space over the field  F3 = Z/3Z of 3 elements. The number of distinct 1-dimensional subspaces of V is
  1. A
    13
  2. B
    26
  3. C
    9
  4. D
    15
प्रश्न 30Single Answer
Let V be the inner product space consisting of linear polynomials, with the inner product defined by

An orthonormal basis of V is
  1. A
    {1, x}
  2. B
  3. C
  4. D
प्रश्न 31Single Answer
Let f(x) be the minimal polynomial of the 4 x 4 matrix

Then the rank of the 4 x 4 matrix f(A) is
  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    4
प्रश्न 32Single Answer
  1. A
    All the eigenvalues of A are negative real numbers
  2. B
    All the eigenvalues of A are positive real numbers
  3. C
    A can have a positive as well as a negative eigenvalue
  4. D
    Eigenvalues of A can be non-real complex numbers
प्रश्न 33Single Answer
Consider the functions Then
  1. A
    f is an onto entire function
  2. B
    g is abounded function on C
  3. C
    f is bounded on S
  4. D
    g is bounded on S
प्रश्न 34Single Answer
Let f: D → D be a holomorphic function with  Then
  1. A
  2. B
  3. C
  4. D
प्रश्न 35Single Answer
Consider the power series . The radius of convergence of this series is
  1. A
    0
  2. B
    2
  3. C
    1
  4. D
    A real number greater than 1
प्रश्न 36Single Answer
In a group of 265 persons, 200 like singing, 110 like dancing and 55 like painting. If 60 persons like both singing and dancing, 30 like both singing and painting and 10 like all three activities, then the number of persons who like only dancing and painting is
  1. A
    10
  2. B
    20
  3. C
    30
  4. D
    40
प्रश्न 37Single Answer
The last two digits of 781 are
  1. A
    07
  2. B
    17
  3. C
    37
  4. D
    47
प्रश्न 38Single Answer
In which of the following fields, the polynomial

Is irreducible in F(x)?
  1. A
    The field F3 with 3 elements
  2. B
    The field F7 with 7 elements
  3. C
    The field F13 with 13 elements
  4. D
    The field Q of rational numbers
प्रश्न 39Single Answer
  1. A
    2
  2. B
    3
  3. C
    4
  4. D
    5
प्रश्न 40Single Answer
Let be a linear map with  equals
  1. A
  2. B
    [0,1]
  3. C
  4. D
प्रश्न 41Single Answer
Let y1() and y2() be the solutions of the differential equation  Then
  1. A
    y1 and y2 will never intersect
  2. B
    y1 and y2 will intersect at  = 17
  3. C
    y1 and y2 will intersect at  = e
  4. D
    y1 and y2 will intersect at  = 1
प्रश्न 42Single Answer
 Where A is a 2 x 2 constant matrix with real entries satisfying trace A = 0 and det A > 0. They y1(t) and y2(t) both are
  1. A
    Monotonically decreasing function of t
  2. B
    Monotonically increasing function of t
  3. C
    Oscillating functions of t
  4. D
    Constant function of t
प्रश्न 43Single Answer
The partial differential equation

Is hyperbolic in
  1. A
    The second and fourth quadrants
  2. B
    The first and second quadrants
  3. C
    The second and third quadrants
  4. D
    The first and third quadrants
प्रश्न 44Single Answer
A bounded harmonic function in the unit disc centered at origin and taking the value sin2 on the boundary is
  1. A
    r2 sin2
  2. B
    r sin2
  3. C
    r3sin2
  4. D
    r2sin2
प्रश्न 45Single Answer
The system of equations 

Where k  R has an infinite number of solutions for
  1. A
    k = 0
  2. B
    k = 1
  3. C
    k = 2
  4. D
    k = 3
प्रश्न 46Single Answer

WhereWhich of the functions minimizes J?
  1. A
  2. B
  3. C
  4. D
प्रश्न 47Single Answer
For the homogeneous Fredholm integral equation  has the value
  1. A
  2. B
  3. C
  4. D
प्रश्न 48Single Answer
The total number of vibrational degrees of freedom of a molecule containing n collinear atoms is
  1. A
    3n -  1
  2. B
    3n -  5
  3. C
    3n -  2
  4. D
    3n
प्रश्न 49Single Answer
Let X1,X2,... be i.i.d standard normal random variables and let  Then
  1. A
    The limiting distribution of  with 1 degree of freedom
  2. B
    The limiting distribution of  is  normal with mean 0 and variance 2
  3. C
    The limiting distribution of  with 1 degree of freedom
  4. D
    The limiting distribution of  is normal with mean 0 and variance 
प्रश्न 50Single Answer
Let  be a sequence of numbers, such that for all  Consider a Markov chain on the state space {0, 1, 2, …} with transition probability matrix

Then
  1. A
    The chain is not irreducible
  2. B
    The chain is irreducible and transient
  3. C
    The chain is irreducible and null recurrent
  4. D
    The chain is irreducible and positive recurrent
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