ICAR AIEEA PG 2024 - Statistical Sciences

1 Which is called as the brain of the nematode? Solve → 2 If an exporter earns money and deposits that with Reserve Bank of India (RBI), what will... Solve → 3 Anthracnose resistant variety of French bean is: Solve → 4 The process of assembling, storage, grading, packaging and distribution of different... Solve → 5 What is the working principle of a potometer? Solve → 6 A pathogen often develops resistance against: Solve → 7 Olivine is a good source of: Solve → 8 Chipko movement was started to conserve: Solve → 9 How many main types of nucleic acids are present in the living systems? Solve → 10 The main reason for blueness of the sky is: Solve → 11 Which crop is called micronutrient loving crop? Solve → 12 Most of the insects require which vitamin: Solve →

1 Let (a_n) = n+1/n and (b_n) = (-1)^n be sequences of real number, then: Solve → 2 Let r be any real number and (a_n) = 1/n^r be sequence of real number, then: Solve → 3 Which of the following statement is true for sequence of real number? Solve → 4 Let (a_n) and (b_n) be sequences of real number. Let a_n/b_n and (a_n b_n) are... Solve → 5 lim(n → ∞) 1 + 1/n^2n is equal to: Solve → 6 The series Σ (-1)^n 1/n^2 is: Solve → 7 Let Σ 1/n^1/2 and Σ 1/n^3/2 be series, then: Solve → 8 Let Σ a_n is absolutely convergent series, then: Solve → 9 Let Σ a_n = Σ (-1)^n nx/n^2 is a series, then: Solve → 10 If S = {(2, 5), (3, 7), (4, -9), (-8, 3)}, then: Solve → 11 Let a, b ∈ ℝ and 0 ≤ a < b, then: Solve → 12 Let c be any real number and 1 < c, then: Solve → 13 Let A be 5 × 5 skew-symmetric matrix, then the determinant of A is: Solve → 14 Which of the following statement is true? Solve → 15 Let A be an n × n matrix of real number such that A^2 = A, then the Eigen values of A are: Solve → 16 Let Σ a_n be series of real number, then: Solve → 17 Let A = [Matrix] be a matrix, then the rank of A is: Solve → 18 The solution of the system of equations: x1 - 3x2 + 4x3 = 3 2x1 - 5x2 + 7x3 = 6 3x1 - 8x2... Solve → 19 Let Z1 and Z2 be two complex numbers, then: Solve → 20 Let Z1 = -2 + 2i and Z2 = 3i, then: Solve → 21 Let x + iy = (2 - i)^2 + 7 - 4i/2 - i - 8, the values of x and y are: Solve → 22 In hyperbola, the length of the transverse axis is the distance between: Solve → 23 The center of the circle 4x^2 + 4y^2 - 8x + 12y - 25 = 0 is: Solve → 24 The length of the latus rectum of x^2 = -9y is equal to: Solve → 25 Evaluate lim(x → +∞) x/√(x^2 + 1000): Solve → 26 A liquid form of penicillin manufactured by a pharmaceutical firm is sold in bulk at a... Solve → 27 Find the vertical asymptotes of f(x) = -8/x^2 - 4: Solve → 28 If z = 3x^2 y - x xy, then: Solve → 29 If u = ^-1{x^2 y/x + y}, then: Solve → 30 If x = r θ, y = r θ, then find the value of (r, θ)/(x, y): Solve → 31 Evaluate the value of ∫ x ^-1 x\, dx: Solve → 32 Suppose that a particle moves on a co-ordinate line so that its velocity at time t is... Solve → 33 Evaluate _R (4xy - y^2)\, dx\, dy, where R is the rectangle bounded by x = 1, x = 2, y =... Solve → 34 Evaluate ∫ _0^1 1/√(-_e x)\, dx: Solve → 35 Solve the differential equation 3e^x y\, dx + (1 - e^x)^2 y\, dy = 0: Solve → 36 Find the solution of the differential equation dx/dy + x/y = y^2: Solve → 37 Find the solution of the differential equation d^2 y/dx^2 + 2dy/dx + 4y = 2x^2 + 3e^-x: Solve → 38 The value of the constant a, b and c which guarantee that the graph of f(x) = x^3 + ax^2... Solve → 39 If u = x^3 + y^3/3x + 4y, then the value of x u/ x + y u/ y is given by: Solve → 40 The solution of the initial value problem dy/dx = -6xy; y(0) = 7 is given by: Solve → 41 The formula to solve simple nonlinear equation f(x) = 0 by Newton's Raphson Method is... Solve → 42 If A is any real number and r is positive rational number, then the value of lim(x → +∞)... Solve → 43 If the interval of differencing being unity and be the forward difference operator, then... Solve → 44 Evaluate the integral I = ∫ _0^1 1/1+x\, dx by using Simpson's one third rule with h =... Solve → 45 Find the value of ∫ \, dx: Solve → 46 Find constants a and b so that lim(x → 0) 2x/x^3 + a/x^2 + b = 1: Solve → 47 Find the interval in which the graph of the function given by f(x) = x^4 - 4x^3 + 10 is... Solve → 48 The line y = L is a horizontal asymptote of the graph of the function f if: Solve →

1 Two unbiased dice are thrown simultaneously. Then the possible number of outcomes will be: Solve → 2 If C1 and C2 are subsets of sample space S, then which is correct? Solve → 3 In drawing a Histogram for unequal class intervals, the height of the rectangle will be: Solve → 4 The arithmetic mean of an n-number series is {x}. The sum of the last n-1 numbers is k... Solve → 5 The mean square deviation of the variate X from ______ is minimum: Solve → 6 The mean of two samples of sizes 50 and 100 are 53.7 and 52.3 respectively. Find the mean... Solve → 7 For a discrete distribution, which of the following is correct? Solve → 8 Two dice are rolled simultaneously. What is the probability that the sum of numbers on... Solve → 9 Given P(A) = p1, P(B) = p2, and P(A B) = p3. Then P(A' B') will be: Solve → 10 If X is a random Poisson variate with P(X=1) = P(X=2), then P(X=4) is: Solve → 11 If X N(μ, σ^2), the maximum ordinate is at X = μ and is given by: Solve → 12 The unit of coefficient of correlation is: Solve → 13 The mean weight per bag in a group of 6 bags of rice is 119 kg. The individual weights of... Solve → 14 The following table gives the distribution of 100 families according to daily expenditure: Solve → 15 Which one of the following is a correct statement? Solve → 16 A scooter rider covers a certain distance at a uniform speed of 45 km per hour and... Solve → 17 The width of each of nine classes in a frequency distribution is 2.5 and the lower class... Solve → 18 The median of a given frequency distribution is found graphically with the help of: Solve → 19 Frequency distribution can be presented graphically by: Solve → 20 If P(A B) = 5/6, P(A B) = 1/3 and P({B}) = 1/2, then the events A and B are: Solve → 21 If P(A) = 0.25, P(B) = 0.50 and P(A B) = 0.14, then the probability that neither A nor B... Solve → 22 If for a binomial distribution the mean is 8 and variance is 6, then the mode is: Solve → 23 If the mean of a Poisson distribution is 36, then its coefficient of variation is: Solve → 24 A die is thrown 100 times. If getting an even number is considered a success, then the... Solve → 25 Bonferroni's inequality states that for any two events C1 and C2: Solve → 26 A bowl contains 8 chips, 3 marked Red and 5 marked Blue. Two chips are drawn at random... Solve → 27 If the random variable X has normal distribution with probability density function f(x) =... Solve → 28 The annual rainfall at a place is normally distributed with mean 1200 mm and standard... Solve → 29 In a random sample of 10 people, if the probability of a person being left-handed is... Solve → 30 For a Poisson distribution, if P(X = 1) = P(X = 3), then its mode is: Solve → 31 Which statistical test is appropriate for testing a hypothesis about a single population... Solve → 32 In a two-sample pooled t-test for comparing the means of two independent normal... Solve → 33 While testing the significance of a sample correlation coefficient r calculated from a... Solve → 34 When observations in two samples are paired and correlated (e.g., before and after... Solve → 35 For an r × s contingency table with total frequency N, the exact mean (expected value) of... Solve → 36 The probability of rejecting the null hypothesis H0 when it is actually true is known as: Solve → 37 The arithmetic mean of 21 numbers is 9. If the number 19 is deleted from the set, the... Solve → 38 If A and B are two mutually exclusive events with P(A) > 0 and P(B) > 0, then the... Solve → 39 A distribution consists of 100 observations with a median of 36.9. If the largest 10... Solve → 40 The geometric mean of the two numbers 625 and 1 is: Solve → 41 The harmonic mean of the two regression coefficients b_yx and b_xy is: Solve → 42 The arithmetic mean of the two regression coefficients b_yx and b_xy is: Solve → 43 A researcher wants to test whether the mean yield of a crop has changed from the standard... Solve → 44 In Simple Random Sampling Without Replacement (SRSWOR) from a finite population of size... Solve → 45 If the estimated linear regression equation of Y on X is given by Y = 100 + 7X, then the... Solve → 46 Which of the following provides the best and most consistent estimate of the population... Solve →

1 If you obtain a two-tailed p-value of 0.02 the equivalent one-tailed p-value would be: Solve → 2 The difference between the expected value of a statistic and the value of the parameter... Solve → 3 A polymorphic virus can: Solve → 4 Which tab is not available on left panel when you open a presentation? Solve → 5 Formula in Excel starts with: Solve → 6 What is the shortcut key for "Subscript" the selected text? Solve → 7 A t-value of -5 is: Solve → 8 Which of these devices use capacitors to store data? Solve → 9 The checking operation performed on input data is called the: Solve → 10 Execution of two or more programs by a single CPU is known as: Solve → 11 Which of the following is not a software for dot plot analysis? Solve → 12 Which of the following scores are not considered while calculating the SP scores? Solve → 13 Which of the following does not constitute an online resource for aligning sequence pairs? Solve → 14 Which of the options listed below is not the purpose of a sequence comparison? Solve →