TANCET 2017 Agricultural & Irrigation Engineering Question Paper with Answer Key PDFs (March 26)

TANCET Questions

• 1.

  The number of multipliers and delay elements required in the direct form II realization of $$ H(z) = \frac{1 + 0.5z^{-1} - 2z^{-2}}{1 + z^{-1} - 2z^{-2}} $$ 

  • 5, 2
  • 3, 4
  • 6, 4
  • 3, 2
    
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• 2.

  The Laplace transform of a signal $X(t)$ is $$ X(s) = \frac{4s + 1}{s^2 + 6s + 3}. $$ The initial value $X(0)$ is:

  • \( 0 \)
    
  • \( 4 \)
    
  • \( 1/6 \)
    
  • \( 4/3 \)
    
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• 3.

  The faces in a tetragon are

  • 12
    
  • 4
    
  • 6
    
  • 2
    
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• 4.

  Which of the following causal analog transfer functions is used to design causal IIR digital filter with transfer function? $$ H(z) = \frac{0.05z}{z-e^{-0.42}} + \frac{0.05z}{z-e^{-0.2}} $$ Assume impulse invariance transformation with \( T = 0.1 \, \text{s} \). 

  • \( H(S) = \frac{0.5}{S+4.2} + \frac{0.5}{S+2} \)
  • \( H(S) = \frac{0.5}{S+2.1} + \frac{0.5}{S+4} \)
  • \( H(S) = \frac{0.5}{S-2.1} + \frac{0.5}{S-4} \)
  • \( H(S) = \frac{0.5}{S-4.2} + \frac{0.5}{S-2} \)
    
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• 5.

  If the hinged end of a propped cantilever of span \( L \) settles by an amount \( \delta \), then the rotation of the hinged end will be

  • \( \frac{\delta}{L} \)
    
  • \( \frac{1.5 \delta}{L} \)
    
  • \( \frac{2 \delta}{L} \)
    
  • Zero
    
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• 6.

  An intermediate shaft of a gearbox, supporting two spur gears A and B and mounted between two bearings C1 and C2, is shown in the below figure. The pitch circle diameters of gears A and B are 500 and 250 mm respectively. The shaft is made of alloy steel 20MnCr5. (\( S_{ut} = 620 \) and \( S_{yt} = 480 \) N/mm\(^2\)). The factors \( k_b \) and \( k_t \) of the ASME code are 2 and 1.5 respectively. The gears are keyed to the shaft. Determine the shaft diameter using the ASME code. 
  

  • 44.52 mm
  • 59.36 mm
  • 27.15 mm
  • 38.87 mm
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