CUET PG Electrical Engineering Question Paper 2024: Download Question paper with Answers PDF

CUET PG Questions

• 1.

  Let \(f(x, y) = \begin{cases} \frac{xy}{\sqrt{x^2 + y^2}}, & (x, y) \neq (0, 0) \\ 0, & (x, y) = (0, 0) \end{cases}\), then

  • $\lim_{(x, y) \to (0, 0)} f(x, y)$ does not exist.
    
  • $f(x, y)$ is differentiable at $(0, 0)$.
    
  • $f(x, y)$ is continuous but not differentiable at $(0, 0)$.
    
  • $\lim_{(x, y) \to (0, 0)} f(x, y)$ exists, but $f(x, y)$ is not continuous at $(0, 0)$.
    
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• 2.

  Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
  Assertion A : Let $A = \begin{bmatrix} 3 & 0 & -1 \\ 3 & 0 & -1 \\ 4 & 0 & 5 \end{bmatrix}$, then $\text{Nullity}(A) = 1, \text{Rank}(A) = 2$. Reason R : For a linear transformation $T: \mathbb{R}^n \to \mathbb{R}^n$, $\text{Rank}(T) + \text{Nullity}(T) \neq n$. In the light of the above statements, choose the correct answer from the options given below
  

  • Both A and R are true and R is the correct explanation of A
    
  • Both A and R are true but R is NOT the correct explanation of A
    
  • A is true but R is false
    
  • A is false but R is true
    
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• 3.

  Choose the main objectives of the 2^nd, 3^rd, 4^th and 6^th Five Year Plans in India in sequential order.

  
  • [A.] Improvement in Infrastructure  
  • [B.] Self-reliance 
  • [C.] Agricultural Development 
  • [D.] Industrialisation

  Choose the correct answer from the options given below:

  • C, B, A, D
    
  • D, C, B, A
    
  • B, C, D, A
    
  • A, C, D, B
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• 4.

  Match List-I with List-II. \[ \begin{array}{|c|c|c|l|} \hline \text{List-I} & & \text{List-II} & \\ \hline A. & \text{Principles of Distributive Justice} & I. & \text{J. Bodin} \\ \hline B. & \text{Democracy as the Tyranny of the Majority} & II. & \text{Aristotle} \\ \hline C. & \text{The State is the Soul} & III. & \text{Plato} \\ \hline D. & \text{Theory of Absolute Sovereignty} & IV. & \text{De Tocqueville} \\ \hline \end{array} \] Choose the correct answer from the options given below: 

  • A-I, B-III, C-II, D-IV
    
  • A-II, B-I, C-IV, D-III
    
  • A-IV, B-II, C-III, D-I
    
  • A-II, B-IV, C-III, D-I
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• 5.

  Match List-I with List-II. \[ \begin{array}{|c|c|c|l|} \hline \text{List-I} & & \text{List-II} & \\ \hline A. & \text{P.C. Mahalanobis} & I. & \text{Drain Theory} \\ \hline B. & \text{D.S. Kothari} & II. & \text{Amul Cooperative} \\ \hline C. & \text{D.B. Naoroji} & III. & \text{Indian Planning} \\ \hline D. & \text{V. Kurien} & IV. & \text{National Educational Policy} \\ \hline \end{array} \] Choose the correct answer from the options given below: 

  • A-III, B-IV, C-I, D-II
    
  • A-III, B-I, C-II, D-IV
    
  • A-II, B-II, C-I, D-IV
    
  • A-II, B-I, C-III, D-IV
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• 6.

  Match List-I with List-II. \[ \begin{array}{|c|c|c|l|} \hline \text{List-I} & & \text{List-II} & \\ \hline A. & \text{Amartya Sen} & I. & \text{Stages of Growth} \\ \hline B. & \text{Arturo Escobar} & II. & \text{Post-development critique} \\ \hline C. & \text{W.W. Rostow} & III. & \text{Capability approach} \\ \hline D. & \text{Andre Gunder Frank} & IV. & \text{Development from a state of underdevelopment} \\ \hline \end{array} \] Choose the correct answer from the options given below: 

  • A-I, B-III, C-IV, D-II
    
  • A-IV, B-II, C-III, D-I
    
  • A-II, B-I, C-IV, D-III
    
  • A-III, B-II, C-I, D-IV
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