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Full Marks—100 ’ ‘Hime Allowed-2 hours, , 2., , 5,, , Each question carries | mark, , (Common to all branches of Engg,/Tech.), Question Nos 1 10 80 of this group are common to all branches of Engg./Tech,, , If {3 4 2] P = [3 4 2 6] then the size of the matrix P is—, , (a) 3x1 (b) 1x1 (c) 1x3 Ar’, eae. . 2°) L- . 7, , If P=} 1} —4 1] and. Q=|1 -1 0] and PQ = nl where n is‘an integer. fis a unit, 3 0-3 12° dost, , matrix of order 3, then the value of n is—, , (ay 5 (b)-5 “YN (d)-6 |, . 0 x-3 x48)” : é 5 :, If Q=|x+3 0 x-S5|=0 then x equal, , [x-8 x45 0, (a) 3 (b) 5, , , , , NX lw we w, f, , If w is af imaginary cube root of, ien the value of w2 1° w| is—, wi w we, , , , , (a) W (b) - (c) 1 (ay 0 ., The points with position vectors 60] +3}. 401-8} and aj—$2] are collinear it—, (a) 40 wecy 52 (d) 50, , eye ~~) aD s, =7 and u+-b+e=0 then the angle between 2 and b Is, , , , 1 t t, ay < Od (b) 7 ) > (d) None of these, The vectom Pj +k. 1+ 2j)-3k and 3i+a)4 3k are coplanar, it, Mat (by as 4 (cha = ~3 (dy a=, hl, qr fi =fa- bl. then—, ‘ i <4 4 mo a3 ms, (a) lal =[o} fi (b) a and ‘bare parallel, yt. and b are perpendicular (dl) None of these, , Scanned by CamScanner

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10., , 12,, , 13,, , M4,, , IS,, , 1,, , , , : 2 sisnefrcapt, The value of Jr’. by Trapezoidal Rule, taking 6 ordinates. correct to 3 sgntrcet, , figures. ts—, , (ay 0.262 (by 0.260 (c) 0.259 (4) 0.253 ., By Newton-Raphson method, a Positive root of the equation x° - x ~ 1 = 9, vomnect to decimal places is—, , va) 1.35 fb) 1.34 (ce) 1.38 yar T.22, , If u=44(2), then the value of xy yO i, , dy \, ™ (b) =I, , (c) 1 os, , The solution < nn is—, , (a) xy “feos? =k = (b) ny + sin? sk fe) xy- 0d we {drcos x" +2xy=kh, , Ifthe mean and median of a frequency distribution very a respectively, then the mode, of the distribution fee, , (a) 34 tb) wat 29 (d) 34.5, , One card is drawn from a pack of playing. cards, the probability that it is either a King or, a Queen is—, , , , S LL. uW, QF (b) an Llopre (dy 13, A problem in probability is Oy nts, Their chances of solving it are i. i. + . The, Probability that the prob! ill Ived is —, at “wt . (dy &, (ay 3 . 4 (d) :, , 2 3, It ¥ }. then x + y equals to—, (2x + 2x -23, , OD (by -1 (c) 23 (d) -24, , =. then the values of x are—, , o q 3, iby toss ih 30, , Scanned by CamScanner

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19, , 26,, , 27,, , 28., , I, , , , . be eg, Pelee eee ict we'll veof a btb eee, Wa. th, © are unit vectors sich that qe be & U, then the value 3, , in, , 1, 3 ) 5, , 3 ,, wi <5 (b) 5 (c) |, , au, , au ot ig, , x ., us x), then the value of 7 - : — log, ay, \ xy, (c) u log, x ( Xx, , The arithmetic mean of the first natural numbers is equal to, , -| n+l n+l, (a) ancl) (b) ae @ \h, Three resistances each of RQ are connected to cy The resistance between any, , wu (b) 0, , {wo terminals will be—, 3 ‘, —, (n) RQ (b) 5 RQ BRA oF RQ, , The distunce between the two plates of a parallelplate capacitor is doubled, then the capacilance of the capacitor becomes—, , () Double (b) Zero (ey Half (d) Remains same, the superposition theorem is valid, , (a) Any type of network & (b) Only linear network, , (c) Non-linear network (d) None of these, , A source is delivering im er to load, the efficiency of the circuit is—, (a) 95% « ) (c) 97% (d) 98%, , The effect of introducir gap in series with a magnetic circuit is—, (a) Decrease in reluctance , (b) Decrease in, (07 Increase i ance and decrease in flux, , , , , , Parallel and a capacitor of 1 {iF is connected, Capacitance is—, , (a) O05 A (b) 0.75 A \¢) 0.236 A (d) 0.314 A, The eddy current loss in a magnetic material can be reduced by using—, (a) Hard steel ‘(b) Solid core (c) Cast steel (d) Silicon steel, , Scanned by CamScanner

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31, , 2., , 3., , »,, , During the measurement of power j, n ae, Perec ets Beate te a net int _— load by two wattmeters, Ol, 0.5 :, ae armature current i Less than 0.5 (c) Greater than 0.5 (a) Unity, of a d.c. series motor is S0A while developing full load Torque. If the, , , , , , armature eoreat is reduced to 35 A, the Torque will be—, (a) 50% of full load Torque ., : (b) Full load Torque, (o)"25% of full load Torque (d) 12.5% of full load Torque, A dc. shunt generator, whose generated emf is 220 V is supplying a at 200 V. If the, resistance of the armature circuit is 1.00, the armature current wil, (a) 200 A (b) 20A (c) 220A d) 100A, it a transformer, the phase relationship between the primary ind emf and the magnetic, ux is—, (a) 90° (b) 0° (c) 180° (d) Less than 90°, The primary to secondary turns ratio in an ideal mnartome . If the power output is, P watts, the power input will be— :, (a) 2P (b) z (c) @ (d) ., Oil in'a transformer is used for— sa e, (a) Insulation . : NOR rication : ie ., {cy Insulation and Cooling Insulation, Cooling and Lubrication, A three phase, 50Hz, 400 V, ‘star connet ip ring induction motor is running with 5% slip, at full load. The frequency of the rotor’induced emf is—, (a) 50 Hz (b) 5 Hz ‘(c) 25 Hz (d)'2.5 Hz, The most efficient’ electrical/machin he—, (a) DC Machine : (b) Induction Motor, (c) “Synchronous ‘Machine, — dy Hanae, In hydel power station ternators are usually— : :, (a) Cylindrical pole (by Salient pole type, (d) None of these, (c) Non-salient "ey hia, maa. ae (b) PB, O, Box, ” Ammi ter me (d) Megger, ¢) Galvano: r j isture falls below—, Resistivity of earth increases sharply, if the eer . low: ae, <Ta) 60% (b) 50%, , ‘ e gives, Power transmission of high voltage &, , (a) Poor voltage regulation, (b) Better voltage regulation, (c) Same voltage regulation, (d) Better power factor, , as that of low voltage, , Scanned by CamScanner

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- - ~ —, 41. A secondary storage device is prepared for usage using the following DOS commang., , (a) DISKCOPY (b) CHKDSK (c) FORMAT (d) DOSKEY, 42. The following command may be used in BASIC to erase the screen of the monitor—, (a) CLEAR (b) CLS (c) ERASE )"CLRSER, , 43. The following steps are required in the order mentioned to execute a program after it jg, coded in a high level language—, (a) Compilation, loading, linking and binding :, (b) Loading, Compilation, Linking and Binding C\, (c) Compilation, Linking, Loading and Binding °, (d) Any of the above, 44. A string variable in BASIC—, , , , , (ay Starts with “$” symbol (b) Ends wit ** symbol, , (c) Starts and Ends with “$" symbol (d) f Ends with “$” symbol, 45. A file that stores multiple DOS commands is callec, , (a) DOS program file / ) le nN, , (c) External command file “0 Sem file ’, 46. The value of base B, where (101), = (65)j, is, , (a) 5 (b) 8 ) 6 (d) 7, 47. The ALU of a computer responds ot the commands coming from—, , {a) Primary Memory , (b) Control ‘Section, , (c) External Memory * (d) Cache Memory, , 48. Which of the following is a yalid statement is BASIC ?—, (a) LETA+B=C 5 (b) PRINT ‘KOLKATA’, , (¢) INPUT A = 100 (d) None of the above Z, 49. Which of the following co leu sed in present day computing was developed by IBM Corpo, ration? — ‘, , (a) ASCII Hollerith Code (c) Baudot Code (d) EBCDIC Code, 50. Regarding a VDU, statement is more correct? — :, , ay'It is an output device (b) It is an input device, , (c) It is a I device ‘() It is hardware item, 51. A storage ised to. store data to a compensate for the difference in speed at which the, , diffe: its can handle data is—, , (b) Buffer (c)’ Accumulator (d) Address, , 52. Wi f the following is called 2GL or second 8eneration of language?—, , Machine language, { oth of the above, 53. The term gigabyte refers to—, (a) 1024 bytes (b) 1024 kilobytes, (c) 1024 megabytes (d) 1024 gigabytes, 54. Which of the following is a primary storage device?—, ’ (a) Magnetic tape (b) Magnetic disk (c) Optical disk (d) None of the above, , (b) Assembly language, (d) None of the atiove, , , , Scanned by CamScanner