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Question 1 to 70 for all candidates, JELET-2021, Mathematics, linear interpolation is, (A) 3.4 x 10-5, (C) 3.4 x 10-7, (B) 3.4 x 106, (D) 3.4 x 10-8, 1, is exact for polynomials of, X 2., If the formula ff(x)dr = A,f| -, +A,f(0) + A,f is, %3D, -1, maximum degree 2, then the values of the constants Ap, A1, A2 are respectively, 4, 24, 4 2, 4, (A) 3-3 3, (B) 3 3 3, 4 2 4, 1 2 4, (C) - 4 3 3, (D), 3 3 3, X 3., In the bisection method of finding approximate root of an equation f(x) = 0 lying in the, %3D, small interval [a, b], the error in the nth step is less than, 1, 1, (A), 2n, (B), |an – b"|, b- a, 2n, (C) b-a, (D), 2n, X 4., For which of the following function f(x), the value of f (x)dx will be exactly given by, 2, Trapezoidal rule ?, (A) f(x) =x3, (C) f(x) = x+ 2x?, (B) f(x) = 2x2 + 9, (D) f(x) = 90x + 90, The points D, E, F divide BC, CA, AB of AABC in the ratio 1:4, 3:2 and 3:7 respectively, and the point K divides AB in the ratio 1:3., 5., = AD + BE + CF and R, = CK, then, If R1, (A) R,= R,, (B) 5 R, = 2 R2, %3D, (C) 2 R, =5 R,, (D) 3 R,= 4 R2, 6., If z is a function of x and y and x*.y.z 1, then, Ox, 1+ Inx, (A), xlognt ylogyt zly²=<,4, 1+Inx, (B), 1+ Inz, 1+ Inz, + Inx, 1+ Inz, 1+Inz, (D), 1+ Inx dz, (C), Itlyx, E & T, 3, B, Scanned by CamScanner, 1.

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JELET-2021, 34, 7., If u =+ f(ay- bx); then a, a, (A) a, (B) b, a, (C), (D) 1, d, If y(x) be a solution of, dr, a dy -jndu, dy, x, y(1) = 0, y'(1) = 0, then y(2) =, 3, 중 (A) i+호 log.2, (C) + log,2, log.2, (D) - log,2, d²y, 2n2., dy, + tan x, 9., z = sin x transforms the differential equation, + y cos2 x = 0 in to, dx2, dr, dy, Z=dz., dy, d?y, (A), dz?, d?y, (B), - y = 0, dz?, d²y, + 4y = 0, dz?, d?y, (D), 4y 0, dz?, 10., If z = In (tan x + tan y), then sin 2x, + sin 2y, Fanthig, (A) 1, (С) 3, (В) 2, (D) 4, dy, 1, If an integral curve of the differential equation (y - x), dr, 11., passes through (0, 0) and, (a, 1), then a =, (A) 2-e-1, (C) e-l, The orthogonal trajectories of the family of curves ay? = x', 'a' being the parameter, is a e, family of, (A) straight lines, (C) parabolas, A and B throw a dice. The probability that the number A gets is not greater than the, number B, (B) 1-e-, (D) 1+e, 12., (В) сircles, (D) ellipses, 13., gets,, is, te, (1,6) (5)(n)(13)Û2)Gi), (22)(23) (24) (25) (26), (3-3) 134) (35) (36) Q, (4,n) LU5)(46), (A) 2, (B), 7, • (C), 12, (D) 12, 12, (3)0) (66), 14. Five horses are in a race. Mr. A selects two of the horses at random and bets on them., The probability that Mr. A selected the winning horse, is, • (A), (B) 3, (C), (D), E & T, Scanned by CamScanner

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(e's - H2, ehly, Ity2, . dx, dy, Ityz, etrily, du, dy, IF= ly, JELET-2021, x mty. =e"(z-1), dy, dx, "ehty,, 0 is, tan, %3D, 15., The solution of the differential equation, e2tan y+ c, (A) r-2 celanly, (B) 2relanly, y elan y+c, (C) xelan y tan-ly+ c, Where c is an arbitrary constant., (D) re2tanly, (Ck-1, 16. Let C = "C, for 0<k<n and A,, for k 2 1., (k|, If A,A, + A,A; +, then k, = k2, k2, (A) 2nCn, (B), (C) "Cn-1, (D) "Cn+1, cos (a + B), sin (a + B) cos 2B, sin a, sin B is, cos B, 17., A =, cos a, - cos a, sin a, (A) independent of a, (C) independent of a and B, (B) independent of ß, (D) dependent on both a and B, s+ C, a, 18. If s = a+ b + c, then the value of, s+ a, b., is, a, S+ b, (A) 2s2, (C), • (B) 2s3, (D) 3s3, 19, If î, j, k are unit vectors along the positive directions of X, Y and Z axes respectively,, then which one is not true ?, XB) Eiixk) =0, *(D) Eixj+k)=Ö, X(A) Eiô+k) = 0, %3D, ixi=0, 9 Eix(jxk)= 0, (K-j), 1, 20. For each real x such that -1 <x< 1, let A(x) = (1 -x)-1/2, then, 1, A(x).A(y) = V1 + xy A(t), where t =, (A), x-y, x+y, (B), 1-xy, 1+ xy, x-y, 1+xy, (D), x+y, 1-xy, E & T, Scanned by CamScanner

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JELET-2021, Electrical Technology, 21., When the stator of a three-phase induction motor is excited with a three-phase balanced, supply, the rotor of the induction motor runs in the same direction as the rotating stator, magnetic field. The law that is obeyed here is, (A) Faraday's law of electromagnetic induction, Lenz's law, (В), (C), Fleming's left-hand rule, (D) Newton's laws of motion, Prop -Puctily, 22., The phase sequence of a three-phase alternator can be reversed by, (A), reversing the field current and doubling the number of poles, (B), doubling the number of poles without reversing the field current, • (C), reversing the field current keeping direction of rotation same, (D) reversing the direction of rotation keeping the field current same, 23., A synchronous motor runs at Ns rpm at full load. Its speed at half of full load will, (A) be half of the rated rpm., (B) be one fourth of the rated rpm., (C) remain same, (D) be double the rated rpm., 24., Which of the following is not true for magnetic circuits ?, LA) Flux does not actually flow in the sense in which an electric current flow., (B) Reluctance depends on the flux established in the circuit., (C) Energy is needed only for creating flux., (D) Flux flows in the same sense in which an electric current flow., Which of the following curves depict the terminal voltage vs. load current characteristics, of a DC shunt generator ?, 25., (A), (В), IL, IL, (C), (D), IL, IL, 26., A stable UPS requires, (A) only a rectifier, , (C) both inverter and rectifier, (B) only an inverter, (D) only battery, E & T, Scanned by CamScanner

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How much current flows through the galvanometer G in the given circuit ?, JELET-2021, 27., 12 Q, 24 Ω, 12 2, 6 V, (A) 0, 167 mA, (B) 111 mA, (D) 333 mA, (C), 28. Rating of a fuse is expressed in terms of, (A) voltage, (C) VAR, The wiring diagram of a single tube light is given by, • (B), (D) kVA, current, 29., Starter, Ballast, ll, (A), (B), T, T, ll, Ballast, Starter, AC Supply, AC Supply, Ballast, ll, ) Starter, Ballast, (C), (D), Starter, AC Supply, AC Supply, A 3-point starter is used to start, (A) induction motors, • (C) series motors, 30., (B) shunt motors, (D) both shunt and series motors, 31. If the voltage and current in an AC circuit are, i = 10 sin (ot - 60°), then the power factor of the circuit is, given by v = 200 sin (@t + 30°) and, (A), (B), 2, • (C) 0, (D), E & T, Scanned by CamScanner, 1/-