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# NIMCET 2023 : Questions

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### NIMCET 2023 : Questions

1. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 1. The values of cot 3  , cot 4  , cot 6  are in (a) AP (b) GP (c) HP (d) None of these 2. cos 80 cos 20 + sin 80 sin 20 = ? (a) 1 2 (b) 3 2 (c) 1 2 (d) 1 3. cos 20 cos 40 cos 80 = ? (a) 1 16 (b) 1 8 (c) 3 8 (d) 3 16 4. The least value of (2sin2  + 3 cos2  ) is (a) 1 (b) 2 (c) 3 (d) 5 5. The general solution of the equation sin2  = sin2  is (a)  = n +  , nI (b)  = n   , nI (c)  = 2n + , nI (d)  = 2n   , nI 6. If M = 1 2 2 3       and M2 –  M – I2 = 0, then  is equal to (a) -2 (b) 2 (c) -4 (d) 4 7. From the following find the correct relation (a) (AB)` = A`B` (b) (AB)` = B`A` (c) A-1 = ( ) adj A A (d) (AB)-1 = A-1 B-1 8. If A is a unit matrix of order n, then A(adj A) is (a) zero matrix (b) row matrix (c) unit matrix (d) None of these 9. If 6 3 1 4 3 1 20 3 i i i i   = x + iy, then (x, y) is (a) (3, 1) (b) (1, 3) (c) (0, 3) (d) (0, 0) 10.arg (5 – 3 i) is equal to (a) tan-1 5 3 (b) tan-1 5 3        (c) tan-1 3 5 (d) tan-1 3 5          11.If 3 5 7 ... 5 8 11 ... 10 to n terms to terms       = 7, then the value of n is BUDDHA SCIENCE AND TECHNICAL INSTITUE, KOKAR (TEST EXAMINATION) BATCH : NIMCET MONTH : MARCH TIME : 02:00 HRS. SESSION : 2022-2023 SUBJECT: MATHEMATICS, ENG, C.S. & REASONING INSTRUCTIONS: 1. Candidate may attempt all questions. 2. Marks are distributed as per notice guideline. 3. The missing data, if may be assumed suitably.
2. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 (a) 35 (b) 36 (c) 37 (d) 40 12.Three numbers are in AP whose sum is 33 and product is 792, then the smallest number from these numbers is (a) 4 (b) 8 (c) 11 (d) 14 13. If the arithmetic, geometric and harmonic means between two positive numbers be A, G, and H , then (a) A2 = GH (b) H2 = AG (c) G = AH (d) G2 AH 14.If a > 0, b > 0, c > 0 then both the roots of the equation ax2 + bx + c = 0 (a) are real and negative (b) have negative real parts (c) are rational numbers (d) None of the above 15.Roots of ax2 + b = 0 are real and distinct, if (a) ab > 0 (b) ab < 0 (c) a, b > 0 (d) a, b < 0 16.Which of the following is the empty set? (a) {x : x is a real number and x2 – 1 = 0} (b) {x : x is a real number and x2 + 1 = 0} (c) {x : x is a real number and x2 – 9 = 0} (d) {x : x is a real number and x2 = x + 2} 17.In a class of 50 students, it was found that 30 students read “Hitavad”, 35 students read “Hindustan” and 10 read neither. How many students read both “Hitavad” and “Hindustan” newspapers? (a) 25 (b) 20 (c) 15 (d) 30 18.If A = {x, y, z}, then the number of subsets in powerset of A is (a) 6 (b) 8 (c) 7 (d) 9 19.If A is a subset of B and B is a subset of C, then cardinality of A B C is equal to (a) Cardinality of C (b) Cardinality of B (c) Cardinality of A (d) None of these 20.If the positive vectors of the vertices of a triangle be 2i + j + 2k, -i + j – 4k and –i – 2j + 2k, Then the triangle is (a) right angled (b) isosceles (c) equilateral (d) right angled isosceles 21.If the position vectors of A and B be 6i + j – 3k and 4i – 3j – 2k, then the work done by the force F = i + 3j + 5k in displacing a particle from A and B is (a) 15 units (b) 17 units (c) - 15 units (d) none of these 22. The work done by the force F = 2i – 3j + 2k in displacing a particle from the point (3, 4, 5) to the point (1, 2, 3) is (a) 2 units (b) 3 units (c) 4 units (d) 5 units 23. Forces of magnitude 5, 3, 1 units act in the directions ˆ ˆ ˆ 6 2 3 i j k   , ˆ ˆ ˆ 3 2 6 i j k   , ˆ ˆ ˆ 2 3 6 i j k   respectively on a particle which is displaced from the point (2, -1, -3) to (5, -1, 1). The total work done by the force is (a) 21 units (b) 5 units (c) 33 units (d) 105 units
3. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 24. If A and B are two events and P(A  B) = 5 / 6, P(A  B) = 1 / 3 P(B) = 1 2 , then A and B are two events which are (a) Dependent (b) Independent (c) Mutually exclusive (d) Equally likely 25. If E1 and E2 are two events associated with a random experiment such that P(E2) = 0.35, P(E1 or E2) = 0.85 and P(E1 and E2) = 0.15, then P(E1) is (a) 0.25 (b) 0.35 (c) 0.65 (d) 0.75 26. Find out the wrong term. 16, 22, 30, 45, 52, 66 (a) 30 (b) 45 (c) 52 (d) 66 27. 2, 7, 27, 107, 427, ? (a) 1262 (b) 1707 (c) 4027 (d) 4207 28. 5, 6, 9, 15, ? , 40 (a) 21 (b) 25 (c) 27 (d) 33 29. Y, B, T, G, O, ? (a) N (b) M (c) L (d) K 30. BMX, DNW, FOU, ? (a) GHO (b) GPS (c) HPS (d) HPT 31. Q1F, S2E, U6D, W21C, ? (a) Y44B (b) Y66B (c) Y88B (d) Z88B Directions (Q-32 to Q-34) : In each of the following questions, five words are given. Which of them will come in the middle if all of the them are arranged alphabetically as in a dictionary? 32.(a) Spine (b) Spinal (c) Spinner (d) Spinet (e) Spindle 33.(a) Praise (b) Practical (c) Prank (d) Prayer (e) Practise 34.(a) Haste (b) Haphazard (c) Host (d) Hang (e) Handkerchief 35.If in a certain code, COVET is written as FRYHW, which word would be written as SHDUO ? (a) QUAKE (b) REPAY (c) STINK (d) PEARL (e) TIEVP 36.If in a certain language, TRIANGLE is coded as SQHZMFKD, which word would be coded as DWZLOKD ? (a) EXAMPLE (b) FIGMENT (c) DISMISS (d) DISJOIN (e) None of these 37.In a code language, SOLID is written as WPSLPIMFHA. What does the code-word ATEXXQIBVO refer to ? (a) WATER (b) WAGER (c) EAGER (d) WAFER 38. Ravi travelled 4 km straight towards south. He turned left and travelled 6 km straight, then turned right and travelled 4 km straight. How far is he from the starting point? (a) 8 km (b) 10 km (c) 12 km (d) 18 km (e) None of these 39. Starting from a point, Raju walked 12 metre North, he turned right and walked 10 metres, he again turned right and walked 12 metres, then the turned left and walked 5 metres. How far is he now and in which direction from the starting point? (a) 27 metres towards East (b) 5 metres towards East (c) 10 metres towards West (d) 15 metres towards East (e) None of these
4. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 Directions (Questions 40 to 44) : Study the given information carefully and answer the questions that follow : (i) A, B, C, D, E, F and G are sitting on a wall and all of them are facing east. (ii) C is on the immediate right of D. (iii) B is at an extreme end and has E as his neighbour. (iv) G is between E and F. (v) D is sitting third from the south end. 40.Who is sitting to the right of E? (a) A (b) C (c) D (d) F (e) None of these 41.Which of the following pairs of people are sitting at the extreme ends? (a) AB (b) AE (c) CB (d) FB (e) Cannot be determined 42.Name the person who should change place with C such that he gets the third place from the north end. (a) E (b) F (c) G (d) D (e) None of these 43.Immediately between which of the following pairs of people is D sitting? (a) AC (b) AF (c) CE (d) CF (e) None of these 44.Which of the conditions (i) to (v) given above is not required to find out the place in which A is sitting? (a) (i) (b) (ii) (c) (iii) (d) All are required (e) None of these Directions (Questions 45 to 49) : Study the given information carefully and answer the questions that follow : (i) Eleven students A, B, C, D, E, F, G, H, I, J and K are sitting in the first row of the class facing the teacher. (ii) D who is to the immediate left of F is second to the right of C. (iii) A is second to the right of E. who is at one of the ends. (iv) J is the immediate neighbour of A and B and third to the left of G. (v) H is to the immediate left of D and third to the right of I. 45.Who is sitting in the middle of the row? (a) B (b) C (c) G (d) I (e) None of these 46.Which of the following groups of friends is sitting to the right of G? (a) CHDE (b) CHDF (c) IBJA (d) ICHDF (e) None of these 47.Which of the following statements is true in the context of the above sitting arrangement? (a) There are three students sitting between D and G (b) K is sitting between A and J (c) B is sitting between J and I (d) G and C are neighbours sitting to the immediate right of H. (e) None of these 48.In the above sitting arrangement, which of the given statements is superfluous? (a) (i) (b) (ii) (c) (iii) (d) (iv) (e) None is superfluous 49.If E and D, C and B, A and H, and K and F interchange their positions, which of the following pairs of students is sitting at the ends?
5. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 (a) D and E (b) E and F (c) D and K (d) K and F (e) None of these 50.A, P, R, X, S and Z are sitting in a row. S and Z are in the centre, and A and P are at the ends. R is sitting on the left of A. Then who is sitting on the right of P ? (a) A (b) S (c) X (d) Z 51.When the computer is turned off then the content of which one of the following is lost? (a) Output (b) Storage (c) Memory (d) Register 52. __________ retains its data after the power is turned off. (a) Sequential storage (b) Volatile storage (c) Non-volatile storage (d) Direct storage 53. The binary number 10001101010001101111 can be written in hexadecimal as (a) AD46716 (b) 8C46F16 (c) 8D46F16 (d) AE46F16 54.The binary number for F7A916 is (a) 1111011110101001 (b) 1110111110101001 (c) 1111111010110001 (d) 1111011010101001 55.The binary equivalent of (11.6275)10 is (a) 101.11011 (b) 1011.1011 (c) 101.0011 (d) 1011.0011 56. The octal equivalent of the hex number AB.CD is (a) 253.314 (b) 253.632 (c) 526.314 (d) 526.632 57. The decimal equivalent of the hexadecimal number 2A0F is (a) 17670 (b) 17607 (c) 17067 (d) 10767 58. On subtracting (01010)2 from (11110)2 using 1’s complement, we get ____________. a) 01001 b) 11010 c) 10101 d) 10100 59. On addition of 28 and 18 using 2’s complement, we get ____________. a) 00101110 b) 0101110 c) 00101111 d) 1001111 60. What is the addition of the binary numbers 11011011010 and 010100101? a) 0111001000 b) 1100110110 c) 11101111111 d) 10011010011 61. Perform binary subtraction: 101111 – 010101 = ? a) 100100 b) 010101 c) 011010 d) 011001 62. Perform multiplication of the binary numbers: 01001 × 01011 = ? a) 001100011 b) 110011100 c) 010100110 d) 101010111 63. Which of these is not a feature of primary memory? (a) It is fast (b) It holds instructions for computer (c) It is volatile (d) All of these 64. Which of these is a category of RAM? (a) Erasable RAM (b) Dynamic RAM (c) Programmable RAM (d) None of these
6. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 65. Which of these devices use capacitors to store data? (a) SRAM (b) DRAM (c) ERAM (d) PRAM 66.Each of the girls -----her own dress. (a) have (b) has (b) (c) contains (d) possess 67.Five miles ------ long distance. (a) are (b) is (c) would (d) may 68.Many a man -------- tried hard to climb the treacherous mountain range. (a) have (b) has (c) were (d) are 69.The furniture of the house ------ quite impressive. (a) were (b) are (c) is (d) have 70.Uma, my childhood friend -------- leaving for Delhi next month. (a) would (b) is (c) are (d) has 71.Your --------are the proof of your discriminating mind and pragmatic approach. (a) Advices (b) advice (c) advise (d) advises 72.------- Earthquake is a natural phenomenon and nobody can predict it. (a) An (b) A (c) The (d) none 73.I saw only five -------- who were running after the bank-robber. (a) police (b) none (c) the police (d) policemen 74. All -------- are responsible for the pitiable condition of their states. (a) chief minister (b)chiefs ministers (c) chief ministers (d) chief ministers 75. The class teacher gave him ------- and instructed him to do it. (a) the home work (b) a home work (c) home work (d) none
7. At : Chunna Bhatta, Kokar, Ranchi || Web : www.bharatsir.com || WhatsApp: 09835376044 Name : Reg. No : Session : Date : Answer Details 1. 22. 41. 61. 2. 23. 42. 62. 3. 24. 43. 63. 4. 25. 44. 64. 5. Reasoning 45. 65. 6. 46. English 7. 26. 47. 66. 8. 27. 48. 67. 9. 28. 49. 68. 10. 29. 50. 69. 11. 30. Computer 70. 12. 31. 51. 71. 13. 32. 52. 72. 14. 33. 53. 73. 15. 34. 54. 74. 16. 35. 55. 75. 17. 36. 56. 76. 18. 37. 57. 77. 19. 38. 58. 78. 20. 39. 59. 79. 21. 40. 60. 80. Student Signature with date Marks Details Subject Correct Questions Marks Wrong Questions Negative Marks Final Score Math (+12 & -3) Reasoning (+6 & -1.5) Computer(+6 & -1.5) English(+4 & -1) Total Marks Signature BUDDHA SCIENCE AND TECHNICAL INSTITUE, KOKAR (TEST EXAMINATION) BATCH : NIMCET MONTH : MARCH TIME : 02:00 HRS. SESSION : 2022-2023 SUBJECT: MATHEMATICS, ENG, C.S. & REASONING
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