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9. If tan u =2, then the value of, JELET -, (For Diploma Holders in Engg./Tech.), 2010, Each Question carries 1 mark, Group-A, Question Nos 1 to 70 of this Group are common to all branches of Engg/Tech., and Q= 3 2), a, 1. If P=, such that P2 = Q, then, (a) a = 1, (b) a = +1, (c) a = -2, (d) a = -1, a B, 2. If, is a square root of, then a, B and y satisfy, (a) 1 + a? + By = 0 (b) 1 – a² + By = 0, (c) 1 – a² – By = 0 (d)1+ a² – By = 0, 7 6 x, 3. If one root of the equation 2 x 2 =0 is x = -9, then the other two roots are-, 3 7, (a) (2, 6), (b) (3, 6), (c) (2, 7), (d) (3, 7), 4. If A =, and X is a matrix such that A = BX, then X is, B =, -:, (b) ÷3, } ], (a), (c), (d) None of these, -5, 5. y = a log x + b(a, b are arbitrary cơnstants) is a solution of the differential equation, d'y, d?y, (a) x+y = 0 (b) x²ª¯y, +y =, dx?, d'y dy, (c) x-, (d) None of these, +, = ), dx2, dx2, dx, dy, 6. For solving, dx, (a) y = vx, = 4x +y+1, a suitable substitution is-, (b) y = 4x + v, (c) y =, = 4x, (d) y + 4x + 1 = v, %3D, d, 1. The particular integral of the differential equation (D2 – 2D + 4)y = ex sin x, D=, is, xp, %3D, (a) ex sin x, (b) e* sin x, (d) 2 e* sin x, cosx, 8. If f(x) = f'(x) and f(1) = 2, then f(3) equals, (c) 3e?, d'u d?u, dx? "dy?, (a) e2, (d) none of these, (b) 2e?, (a), y, (c) 0, (d) – 1, (b), 2, Scanned by CamScanner

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upto 4 significant figures, by Trapezoidal Rule, taking 5, 11. If fis a homogeneous function of x, y of degree 5 having continuous partial derivatives, 608, JOINT ENTRANCE LATERAL ENTRY (JELET), 10. The general solution of (x3 + y³)dx – xy? dy = 0, is-, 3, (a) 3log x =2+c (b) x' log x = y3 + cx³ (c) logx=, +c (d) logx:, 3( y, %3D, +C., 13, %3D, X, X, which satisfy, 8?f, 8x?, 8²f, = pu, then, dy?, 8?f, +2xy, + y²., 8 x 8y, (a) p =5, (b) sin 2u, (c) 2 tan u, (d) 2 sin u, du, du, 12. If u = tan, then the value of x +y:, iS, ,3, y, 8x, Sy, (a) tan 2u, (b) sin 2u, (c) 2 tan u, (d) 2 sin u ·, 13. The simplest value of lixa +[i×a +k xã i, 12, (a) 3a2, 14. If the letters of the word ATTEMPT are written down at random the probability that all, T's will be consecutive is, (b) ā?, (c) 0, (d) 2a?, 3, (a), 7, (b), 42, (c), (d), 7, 15. Three of the six vertices of a regular hexagon are chosen at random. The probability that, the triangle with three vertices is equilaters, equals, 1, (a), 1, (b), 10, 1, (c), 5, 16. From the given table using Newton's interpolation formula, the approximate value of, 20, (d) None of these, f(0.16) will be, X, 0.1, 0.2, 0.3, 0.4, f(x), 1.005 1.020, 1.045, 1.081, (a) 1.023, be the arithmetic means of x, X2, X3,, (b) 1.013., (c) 1.028, 17. If, (d) 1.024, X, (not all equal) then, ( c) Σχ? -2(x), (a) Ex²; > n(x)² (b) Ex²; = n(x)², 18. The standard deviation for the set of numbers 1, 4, 5, 7, 8 is 2.45 nearly. If 10 are, to each number, then the new standard deviation is, (a) 2.45 nearly, - 2(지)2, (d) Ex²; <(x)², added, (b) 24.45 nearly, (c) 0.245 nearly, (d) 12.45 nearly, 19. An approximate value of f, | dx, 1+X, equal subintervals of [0, 5] is, (a) 1.867, (b) 1.8667, (c) 1.866, (d) none of these, Scanned by CamScanner

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YEAR SOLUTION, 609, 0 JE in a difference table it is found that the third order difference of f(x) is constant and, fl-1) = -1, f(0) = 0, f(1) = 1, f(2) = 8 'and f(3) = 27, then the value of f(4) is, (c) 37, %D, (b) 58, (a) 64, 21 Determine the possible base of the number system for the following equation, (d) 46, 23 + 44 + 14 + 30 = 144, (b) 6, (a) 5, 22. TCP stands for, (a) Transmission control protócol, (c) Transport control process, 23. Which code is referred as self-complementary code?, (a) Excess-3-code (b) Grey Code, (c) 7, (d) 8, (b) Transport control protocol, (d) Transmission control process, (c) 8421 code, (d) None of the above, 24. UDP stands, (a) User datagram process, (c) User data packet, 25. (0.125)10 →.binary equivalence is-, (a) 0.100, 26. Directory in MS-DOS is similar to, (a) Files, 27. Which one is not a programming language?, (a) Oracle, 28. Number of address bits needed to address 4K byte memory is, (a) 6, 29. It is necessary to declare the type of a function in the calling program if-, (a) the function returns an integer value, (c) the function is not defined in the same file (d) none of the above, 30. What will be the value of 'count' after the following program is executed?, main ( ), {, int count.digit = 0,, (b) User datagram protocol, (d) User data process, (b) 0.010, (c) 0.111, in MS-Windows., (d) 0.001, (b) Folders, (c) Screen savers, (d) Data Base, (b) Java, (c) Pearl, (d) Fortran, (b) 8, (c) 12, (d) 10, (b) the function returns a non-integer value, count = 1, White (digit <= 9) {, print f (“%d\n, ++count) ;, ++ digit ; }, }, (a) 10, 31. Which of the following is true about a disk file where WRITE statement will always, place a record in the next physical position?, (a) Indexed file, 32. The ALU of a computer executes the instructions stored in, (a) Secondary memory, (c) Cache memory, (b) 9, (c) 12, (d) 11, (b) Sequential file, (c) Index-sequential file (d) Database file, 6) Control memory, (d) Primary memory, 33. A file that stores multiple DOS commands is called, (a) System file, (c) Sequential file, (d) Batch file, (b) Command file, JELET-39, Scanned by CamScanner

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JOINT ENTRANCE LATERAL ENTRY (JELET), 610, 34. Disk partitioning can be done by command, (a) FORMAT, 35. ATTRIB is used to, (b) FDISK, (c) SCANDISK, (d) PARTITION, (a) Control the read-only attributes of files, (b) Control the archive and read-only attributes of files, (c) Control the hide attribute of files, 36. Integrated Service Digital Network (ISDN) lines provide, (a) Only voice circuits, (c) Both voice & data circuits, (d) All of the above, (b) Only data circuits, (d) None of these, 37. Modern is used to, (a) Convert digital signal to analog signal only, (b) Convert analog signal to digital signal only, Ce) Convert digital signal to analog signal and vice-versa, 38. In UNIX, cd command without argument would, (a) Result in error (insufficient arguments), (b) Change the current directory to the home directory, (c) Show the pathname of current directory, 39. Floppy discs are organised as, (a) Tracks, feT Tracks & Sectors, 40. A city based network is known as, (a) LAN, 41. The current through the 20 resistance connected between nodes Q and R in the fig below, (d) None of these., (d) None of the above, (b) Sectors, (d) Tracks, Sectors and Cylinders, (b) WAN:, eMAN, (d) Internet, is, 3Ω, 22, R, (a) 10A, (b) 6.25A, 20V, (c) 2.5A, (d) 5A, 30V, U, 42. The value of R, in fig below to obtain maximum power in it, is, (а) 1500, (b) 1002, 3002, 252, (с) 3002, (d) 2502, 100V, 100V, 43. At high frequencies, the material used for transformer core is, (a) Silicon iron, 44. The ampere hour efficiency of a loead acid cell is about, (a) 80%, 45. A sinusoidal current has a magnitude of 3A at 120°. Its maximum value will be, 50Ω, (b) Soft iron, (c) Copper, (d) Ferrite ., (b) 95%, (c) 90%, (d) 85%, (a) V3A, (b) 2/3A, (c) 3/2A, (d) JGA, Scanned by CamScanner

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(a) CO,, H,S and CH, (b) CH4, O2 and H, (c) CO, NH, and H, (d) CO, CO, and N,, first by 120° and the third lags behind first by the same angle: The resultant e.m.f. across, 59. The air pollutant responsible for Carboxyhaemoglobin in the human blood is, 46. Each of the three coils generates an e.m.f of 230V. The e.m.f of second leads that of the, YEAR SOLUTION, 611, the series combination of the coils is, (b) 460V, (a) 230V, voltage of 230V is applied across a series a.c. circuit of X, = 252, R, (c) 0V, (d) 690V, 15Ω and X,, %D, 102, the power façtor of the whole circuit is, (b) 0.5 lag, (a) Unity, . A choke coil is joined to 200V, 50HZ a.c. mains and takes 10A. If the choke coil takes, (c) 0.707 lag, (d) 0.707 lead, 10A on 100V d.c. supply the power factor of the choke coil is, (a) 1, 10 The reading of two wattmeters used for measuring power of a balanced three phase load, (b) 0.8 lead, (c) 0.5 lag, (d) 0.9 lead, are 12.5 kw and.-4.8 kw respectively. The power factor of the balanced load is, (a) 0.3, 50. In a single phase energy meter, braking torque is provided by, (a) Electromagnet (b) Air friction, 51. In case of earth fault in any circuit, the megger will indicate, (a) Infinity, 52. A transformer has full load copper loss of 800 watts and core loss of 600 watts. Total, (b) 0.2488, (c).0.5, (d) 0.2765, (c) Permanent magnet (d) Fluid friction, (b) 50 M2, (c) 1 MQ, (d) Zero, losses at half full load will be, (a) 1400 watts, 53. The equation of an alternating current is i =, (b) 800 watts, (c) 1000 watts, 42.42 win ot. The average value of the, (d) 600 watts, current is, (a) 42.42 Amp, 54. Eddy current losses in a transformer can be reduced by, (a) reducirig the thickness of the laminations, (b) increasing the thickness of the laminations, (©) increasing the air gap in the magnetic circuit, (d) reducing the air gap in the magnetic circuit, 55. In a d.c. generator the brushes are always placed along, (a) Geometrical Neutral Axis (GNA), (c) Bisector of the GNA & MNA, (b) 38.0 Amp, (c) 27.0 Amp, (d) 22.0 Amp, (b) Magnetic Neutral Axis (MNA), (d) There is no hard & fast rule for this, *. Which is the major air pollutant in a Coal-based Thermal Power Plant?, (a) Particulate matter (b) CO, S1. The ozone layer found high in Stratosphere, (a) Is toxic to plants, (b) Can react with, atmospheric. pollutants to form smog, (6) Protects against the sun's harmful UV rays, (6) Is capable of disintegrating fabric and rubber, 20. The gases emitting out of septic tank are, (c) H,SO,, (d) NH,, (a) SO2, (c) CO,, (d) NO,, (b) СО, Scanned by CamScanner