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18th December 2014, 08:57 AM
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Join Date: Apr 2013
Re: BHEL Paper for Engineer Trainee Exam for ECE Candidates

As you want I am here providing you the sample paper of the BHEL for Engineer Trainee Exam for ECE Candidates.

Sample Paper :


1. Which of the following propositions is a tautology ?

(a) (P V q) → P

(b) P V (q → P)

(c) P V (P →q) (Ans)

(d) P → (P →q)



2. If A be a finite set of size n, then number of elements in the power set of A x A is

(a) 22n

(b) 2n2 (Ans)

(c) (2n)2

(d) None of these



3. The number of different spanning trees in complete graph Kn, by Cayley's theorem is

(a) 2n-2

(b) nn-2 (Ans)

(c) nn-1

(d) None of these



4. If nPr = 3024, then what will be the value of r ?

(a) 3

(b) 4

(c) 6 (Ans)

(d) 9



6. The correct Laplace transform of the function f(t) = e3t sin 2t is

(a) 2
s2 - 4s + 9

(b) 2
s2 - 6s + 9

(c) 2
s2 - 6s + 13 (Ans)

(d) 3
s2 - 6s + 13



¥
7. The value of integral ∫ d (t - 2) cos (pt/4)dt is


(a) 1

(b) p

(c) 3p/4

(d) 0 (Ans)



8. For a causal f(K), if (Z - 1) F(Z) has no pole outside the unit circle, then

(a) lim f(N) = lim ZF(Z)
N → ¥ Z → 0

(b) lim f(N) = lim (Z - 1) F(Z)
N → ¥ Z → 0

(c) lim f(N) = lim (Z - 1) F(Z) (Ans)
N → ¥ Z → 1

(d) lim f(N) = lim ZF(Z)
N → ¥ Z → 1



9. If R(t) is the auto correlation function of a real, wide-sense stationary random process, then which of the following is not correct?

(a) R(t) = R(-t)

(b) |R(t)| ≤ R(0)

(c) R(t) = - R(-t) (Ans)

(d) The mean square value of the process is R(0)



10. The gain margin for the system with open loop transfer function

G(s) H(s) = 2 (1 + s) , is
s2

(a) ¥

(b) 0

(c) 1

(d) -¥ s (Ans)


13. The oscillator step response of a network function N(s) is damped sinusoidal. Pole location of N(s) in the complex s-plane would be

(a) on the imaginary (jw) axis

(b) on the right-half plane

(c) on the real axis

(d) on the left-half plane excluding the real axis (Ans)



14. The transfer function of a linear time-invariant system represented by vector-matrix differential equation

X = AX + BU and Y = CX + DU is given by

(a) C (sl - A)-1 B

(b) C (sl - A)-1 B + D (Ans)

(c) B (sl - A)-1 C

(d) B (sl - A)-1 C + D



15. The following sequence currents were recorded in a power system under a fault condition

Ipositive = j 1.753 pu

Inegative = j 0.6 pu

Izero = j 1.153 pu

The fault is

(a) line to ground

(b) three phase

(c) line to line ground (Ans)

(d) line to line



16. For economic operation, the generator with highest prohibitive incremental transmission loss will operate at

(a) the highest positive incremental cost of production

(b) the highest negative incremental cost of production

(c) the lowest positive incremental cost of production (Ans)

(d) the lowest negative incremental cost of production



17. During no load test an induction motor draws power

(a) for core, windage and friction loss (Ans)

(b) for core, loss and copper loss

(c) for copper, windage and friction loss

(d) only for the very small copper loss



18. In multiquadrant operation of drive for the torque and speed positive is called

(a) forward motoring (Ans)

(b) forward braking

(c) reverse braking

(d) reverse motoring

20. Which of the following tests must be performed on a transformer to determine its leakage reactance ?

(a) Both OC and SC test

(b) OC test only

(c) SC test only (Ans)

(d) Test by an impedance bridge



21. Which one of the following statements is not true for Zener diode ?

(a) Before breakdown having very high resistance

(b) After breakdown has a very small dynamic resistance

(c) Lightly doped (Ans)

(d) Used to establish a fixed reference



23. The forward path transfer function of a unit feedback system is

G(s) = K(s + 2)
(s2 + 1)(s + 4)(s - 1)

The range of K, for which there will be only two closed loop right hands poles, is

(a) - 33 < K - 12

(b) K < - 33

(c) K > 2 (Ans)

(d) 0 < K <2

25. The transfer function of a system is given as

H (z) = 4z-1/(1 - 1/4 z-1)2 , |z| > 1/4 . The h [n] is

(a) stable

(b) causal

(c) stable and causal (Ans)

(d) None of these



2 Marks Questions



_
26. Given, P(A Ç B) = 1/3 and P(A È B) = 2/3, then P(B) is

(a) 2/3

(b) 1/5

(c) 1/3 (Ans)

(d) 4/5



27. If u + ir is an analytic function, then u + iv will be

(a) always analytic

(b) analytic only, if u = constant

(c) analytic only, if v = constant

(d) analytic only, if both u and v are constants (Ans)


29. The value of x in the mean value theorem of

f(b) - f(a) = (b - a) f'(x)

for f(x) = Ax2 + Bx + C in (a, b) is

(a) b + a

(b) b - a

(c) (b + a)/2 (Ans)

(d) (b - a)/2



30. If ∆ f(x) = f(x + h) - f(x), then a constant k, ∆k equals

(a) 1

(b) 0 (Ans)

(c) f(k) - f(0)

(d) f(x + k) - f(x)



31. Complimentary function of

x2 d2y/dx2 + 4x2 dy/dx + 2y = x log x is

(a) c1x + c2

(b) c1x2 + c3

(c) c1x-1 + c2x-2 (Ans)

(d) c1x2 + c1x



32. The maximum slope of the curve

- x3 + 6x2 + 2x + 1 is

(a) 14 (Ans)

(b) 16

(c) 19

(d) -13



33. The solution of the differential equation

x dy - y dx = √x2 - y2 dx is given by

(a) sin-1 (x/y) = x - c

(b) cx = esin-1 (y/x) (Ans)

(c) sin-1 (y/x) = x2 - c

(d) cx = e-sin-1 (y/x)



34. Consider the impulse response of two LTI system

S1 : h1(t) = e-t u(t)

S2 : h2(t) = e-t cos 2t u(t)

The stable system is

(a) S1

(b) S2

(c) both S1and S2 (Ans)

(d) None of these



35. The contents of accumulator after the execution of following instruction will be

MVI A, B7H

ORA A

RAL

(a) 6EH (Ans)

(b) 6FH

(c) EEH

(d) EFH


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