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Ty, , |, JELET - 2014, ENGINEERING/TECHNOLOGY |, |, |, \, |, , . Each Question carries 1 mark, , Time : Two Hours Full Marks : 100, , Part-A, (Question No. 1 - 70 for all candidates), , Lif p=[} 3}: a=[3 3] and 4P -3Q+R=0 then R=, , , , , , = —2 1, @[s a] [3 i] O[S +] — @None, 2. The equations— 4, x+2y+3z=1, 2x+y+3z=2 ~, 5x +Sy+9z=4 have, (a) Unique solutions S (b) Infinite many solutions, (c) Inconsistent (d) None |, _| cos~ sing T= ,, 3. If p=[ £o8e, | then P. P, (a) 0 (b) 1 (c)P / (a)-P, 001, 4.If P=|0 -1 0] thenP =, 1 00, 0 01 0 0 -l 0 oO -t, (a)}0 -1 0} (b)}] 0 -1 oO (e)} 0-1 1 (d) None, 1 090 -1 0 0 =! 0 -1, 5. If a, B, y are the roots of the equation x3'+ px + q=0, then the value of the determinant, a By, B oy a is—, ya B, (a) p (b) q .(c) p? — 2q (d) none of these, , §. The position vectors of the points P, Q, R are i +j +k, i+ 5j—k and 21+ 3j + Sk, respectively. The greatest angle of the triangle PQR is—, , (a0 (b) 90°. (©) cos! (@) cos, , 7. The number of vectors of unit length perpendicular to the vectors p=(1, 1, 0) and q= (0,, 1,1) is—, (a) one (b) two (c) three (d) infinite

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YEAR SOLUTION—2014, , 8, The vector i(a * i) + j x (a x j) +k x (a x k) is equal to—, , (a) 0 (b) a, : (c) 2a (d) None of these, 9. oe of k for pee a (1, 0,3), b-1, 3, 4), (1, 2, 1) and d(k, 2, 5) are coplanar, is, - c)0 d) +1, 10. Integrating factor for the equation xdy — vie (1—xy dx =0 is ‘, i 1 1 i, Oy. () ys Oy, ‘ @, HH. ue particular Integral of Srgey =e* js—, * 2, we (b) xer (©) Se (d) None, 12. The Solution of the equation ae ai? ee, XX, , 1 x? ¢ I 1, (@) y 3 °x (b) 7 7*(e-logx) (c) pare) (d) None, , 3, , 3, 3 eee 2, ; <5 is a homogeneous function of order—, , 1, 13. The function f(x, y) = 307y, , , , , , , , , , , , , , , , 2, (a) Z (b) 3 (c) 2 (d) 0, 14. f(x) is known by the following data points, x =] OF 1y 24 34 4, fxy= [| 1] 7 | 231 53 | 109, The approximate value of f( 0.5) is, (a) 3.99 (b) 3.125 (c) 1.4 (d) None, . ‘dx 1, 15. The approximate value of the intergral f lex? using Simpson’s 3 tule is, 0, (a) 0.6994 (b) 0.9853 (c) 0.7853 (d) 1, 16. For x? = 20, the approximate value of x using Newton-Raphson method with 3 iterations, is—, (a) 2.99 (b) 1.746 (c) 2.5 (d) 2.714, 17. A fair coin is tossed 100 times. The probability of getting tails an odd number of times is, (@ 4 (b) (2 (d) None of these, , 18. A card is selected randomly from a pack of 52 cards. The probability that the card is, , either diamond or a ten is, , 16 17 13, @) 5 ) > () 5 (d) None of these, 19. The most suitable measure of central tendency is—, (a) the mean (b) the median (c) the mode (d) none of these

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JOINT ENTRANCE LATERAL ENTRY (JELET), 20. The variance of the data set [12, 6, 8, 3, 7, 9,1, 4] is—, , (a) 40 (b) 7 (©) 14 (d) 7.5, 21. Which of the following would cause quickest access of data?, (a) Direct access from disk (b) Direct access from RAM, , (c) Direct access from cache memory (d) Direct access from CD-ROM, 22. Time required for a sector to reach under read/write head is—, , (a) Seek time (b) Latency (c) Access time - (d) None of the above, 23. Unique representation of zero is possible in— ., , (a) Signed 2’s complement representation (b) Signed I’s complement representation, , (c) Signed binary representation (d) All of the above, 24. 1100100 is the signed 2’s complement representation of the decimal value—, (a)—27 (b) — 36 (c)— 26 (d) None of the above, , 25. The errors that can be pointed by a compiler are—, (a) Syntax errors (b) Logical errors (c) Both A and B (d) Neither.A nor B, 26. Which of the following language computer can understand directly?, (a) Assembly Janguage — (b).C (c) Java (d) None of the above, 27. In DOS, RESTORE command is used to, (a) Restore the files from recycle bin, (b)Restore the files made using BACK UP command, (c) Both A and B (d). Neither A nor B, 28. In DOS, CHKDSK can be used to find, (a) Free space in disk (b) Bad portion in disk, (c) Occupied space in disk (d) All of the above, 29. int main (void) Te, {, inta, b,c;, float f ;, a=3;, b=25, f=alb;, print (“% f, £, return (0);, }, The output will be ;, “(a) 1.0000000 (b) 2.000000 (c) 1.500000 (d) Runtime error, 30, int main (void), {, int-a, b 5, a=0;, — 1 3, if (a), print £(Y") ;, else ar, Print f (“NN”) ;

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VM, , 32., , 33., , 34,, , 35., 36., , 37,, , YEAR SOLUTION 2014, , rgb), , Print (ey);, else, , Prine h (SN);, return (0) ;, , }, The output willbe ;, (a) NN (by YY, int main (void), intn;, intsum =O;, weds, , which (n <= 15), , sum = sumtin, nent};, , print f ("ed n) ;, return (9);, , }, , The output will be :, , (a) 18 (b) 17, int main (void), , {, , char x [31], *y;, , y = “abed"™ ;, , x=y¥;, , x [0] = "2";, , print f£("% %", x,y);, , return (0) ;, }, The output of the program will be ;, (a) ?bed abed = (b) hed %bed, , (c) NY (d) YN, , (c) 16 (d) 15, , (c) Compilation error (d) Runtime error, , Consider X is 2-dimensional array of intergers, X{i][j] is equivalent to, , (a) *(XLi}+)) (bY FX FID, , (c) Both A and B (d) Done of the above, , If the space occupied by the string obtained by concatenating s1 and s2 is always, , (a) Greater than m + n bytes, , (c) Equal to m + n bytes, , Ethernet uses, , (a) Bus topology (b) Mesh topology, , (b) Less than m + n bytes, (d) None of the above, , (c) Ring topology (d) None of the above, , Which of the following components connect the computer to a net work?, , (a) NIC » (b) DNS, , Whenever you add a new peripheral to a computer system, which of the following you, , must install before you can use it?, , {a) Icon, (c) Device driver, , (c) Gateway (d) Bridge, , (b) Operating system updates, (d) Any of the above

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JOINT ENTRANCE LATERAL ENTRY (JELET), , 38. Which of the following is not a function of operating system?, , (a)Manage resources (b) Internet access, . (c) Provides a user interface (d) Load and run applicatons _, 39, Telnet is (a) Dialup program (b) Teller network’, (c) Telephone Network - : (d) Standard internet protocol for remote login, , 40. Consider a static, variable declared within a function of aC program. Identify the most, appropriate statement tes, (a) Its scope covers the entire program (b) Its lifetime spans over the life of the program, , (c) Neither A nor B is true (d) Both A and B are true ce, 41. The value of the equivalent resistance across x — ¥ in the following circuit is., $Q , 22, x, 22, > 22, y, ; IQ, , (a) 5Q (b) 6Q (c) 822 (d) 10.22, , 42. A non-alternating periodic waveform has been shown in following figure. The form, factor all this waveform is :, , , , , , 05|--—— -—- Sn ana oa —--, Current (Amp), , , , , , , , , , , , , , 10 20) 0) 40, (a) 1.414 (b) 0.0707 (c) 0.5 (d) None of the above, 43. For the following circuit, the relationship that will hold is given by,, , iri wel