IIITH UGEE 2023 Question Paper with Answer Key PDF

IIITH UGEE Questions

• 1.

  Three pipes A, B, and C can fill a tank in 6 hrs. After working at it together for 2 hrs, C is closed and A and B can fill the remaining part in 7 hrs. The total number of hours taken by C alone to fill the tank is

  • 14
    
  • 12
    
  • 11
    
  • 10
    
  • 13 
     

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• 2.

  Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47

  • 34
    
  • 31
    
  • 38
    
  • 27
    
  • None of these 
     

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• 3.

  A graph shows the velocity of an object as a function of time. Describe the motion of the object in detail, including its acceleration and displacement, at different points in time. What does the area under the curve represent?

  • Acceleration is constant, and displacement is calculated using the area.
    
  • Acceleration is variable, and displacement is zero.
    
  • The velocity graph gives the displacement and acceleration directly.
    
  • The area under the curve gives velocity, while the slope gives displacement.
    
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• 4.

  Explain the concept of a limit. Why is it important in calculus?

  • A limit is the value a function approaches as the input approaches a particular point. It is essential in calculus for defining derivatives and integrals.
    
  • A limit is the point where a function reaches its maximum value.
    
  • A limit is used to find the solution of algebraic equations.
    
  • A limit is not relevant to calculus.
    
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• 5.

  Swahili, a Bantu language, is spoken in the southern and eastern coasts of Africa. Match the Swahili dates to the correct English translations.

  1. tarehe tatu Disemba jumamosi                          (F) Saturday, December 3rd
  2. tarehe tano Oktoba jumapili                              (E) Sunday, October 5th
  3. tarehe pili Aprili jumanne                                   (B) Tuesday, April 2nd
  4. tarehe tano Oktoba jumatatu                             (D) Tuesday, April 4th
  5. tarehe nne Aprili jumanne                                 (A) Monday, October 5th
  6. tarehe tano Oktoba jumatano                           (C) Wednesday, October 5th

  • 1 – (A), 2 – (E), 3 – (H), 4 – (G), 5 – (D), 6 – (C)

  • 1 – (F), 2 – (G), 3 – (B), 4 – (C), 5 – (E), 6 – (D)

  • 1 – (F), 2 – (E), 3 – (B), 4 – (A), 5 – (D), 6 – (C)

  • 1 – (D), 2 – (E), 3 – (A), 4 – (B), 5 – (C), 6 – (G)

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• 6.

  A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?

  • The motion of the system can be split into translational, rotational, and vibrational motions
    
  • Number of rotational degrees of freedom are 3
    
  • Number of vibrational degrees of freedom are 3

  •  Number of translational degrees of freedom are 3 
    
     

  • The system, if isolated, will conserve both total energy and total angular momentum. 
     

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