RRB Maths Previous Year Questions in Hindi PDF
Document Details
Uploaded by Deleted User
Tags
Summary
This document contains previous years' RRB maths questions in Hindi. The questions are categorized chapterwise and include detailed answer explanations.
Full Transcript
RRB Maths (Computer Based Test) ieefCele meeceevÙe SJeb S[Jeebme DeOÙeeÙeJeej mee@uJ[ hesheme& ØeOeeve mecheeokeâ Deeve...
RRB Maths (Computer Based Test) ieefCele meeceevÙe SJeb S[Jeebme DeOÙeeÙeJeej mee@uJ[ hesheme& ØeOeeve mecheeokeâ Deevevo kegâceej cenepeve uesKeve SJeb mebkeâueve Deevebo meesveer SJeb efJeveerle ßeerJeemleJe keâchÙetšj «eeefheâkeäme yeeueke=â 1 nw~) (c) 1424649 (d) 1428481 3 RRB NTPC 22.04.2016 Shift : 1 ⇒4+4 –4 6 Ans : (a) 1093 × 1093 = 46 = (1000 + 93 ) × 1093 27. efjòeâ mLeeve Yejves kesâ efueS meJee&efOekeâ GheÙegòeâ efJekeâuhe = 1093000 + 1093 × 93 keâe ÛeÙeve keâjW~ = 1093000 + 1093 × (100 – 7) 395 – 39.5– 3.95 – 0.395 =................... = 1093000 + 109300 – 1093 × 7 (a) 351.055 (b) 351.145 = 1093000 + 109300 – 1093 (10 – 3) (c) 351.155 (d) 351.045 = 1093000 + 109300 – 10930 + 3279 RRB Group-D – 09/10/2018 (Shift-I) = 1205579 – 10930 = 1194649 Ans. (c) : 395 – 39.5– 3.95 – 0.395 34. (64 × 54) – (54 × 16) = ? = 395 – 43.45 – 0.395 (a) 40,000 (b) 35,000 = 395 – 43.845 (c) 30,000 (d) 25,000 = 351.155 RRB NTPC 26.04.2016 Shift : 1 108 Ans : (c) (64 × 54) – (54 × 16) 40. yees[ceeme (BODMAS) keâe GheÙeesie keâjkesâ efoS ieS = (64 × 625) – (625 × 16) JÙebpekeâ keâes mejue keâerefpeS~ ⇒ 40,000 – 10,000 = 30,000 4 121 1 35. −261 + (−380) − (−521) + 821 − (−121) keâe ceeve nw : × × 24(75 2 - 55 2 ) × 11 16 100 (a) 800 (b) 825 (a) 1736 (b) 1726 (c) 822 (d) 833 (c) 1746 (d) 1716 RRB ALP & Tec. (09-08-18 Shift-II) RRB NTPC 30.01.2021 (Shift-I) Stage Ist Ans : (c) × 24 ( 752 − 552 ) 4 121 1 ⇒ – 261 + (–380) – (–521) + 821 – (–121) Ans. (d) : × = – 261 – 380 + 521 + 821 + 121 11 16 100 = – 641 + 1463 = 822 BODMAS mes, 11 1 Type - 2 = × 24 ( 75 + 55 )( 75 − 55) × 4 100 36. efvecve JÙebpekeâ keâes mejue keâerefpeS ~ Q a 2 − b 2 = ( a + b )( a − b ) (15 ÷ 3) –[{(19 – 1) ÷ 2} – {5 × 20 – (7 × 9 – (– 1 2))}] = 66 × (130 × 20 ) × (a) 21 (b) 31 100 (c) – 21 (d) 35 1 = 66 × 2600 × RRB NTPC (Stage-2) 16/06/2022 (Shift-I) 100 Ans. (b) : = 1716 (15 ÷ 3) –[{(19 – 1) ÷ 2} – {5 × 20 – (7 × 9 – (– 2))}] 41. 3 + [3 × {3 – (3 + 3) ÷ 6}] keâe ceeve......... nw~ = 5 – [{(19 – 1)÷ 2} – {5×20 – (7×9 – (– 2))}] (a) 3 (b) 9 = 5 – [{18 ÷ 2} – {100 – (63 + 2) }] (c) 6 (d) -3 = 5 – [9 – {100 – 65}] RRB NTPC 13.03.2021 (Shift-I) Stage I = 5 – [9 – 35] Ans. (b) : 3 + [3 × {3 – (3 + 3) ÷ 6}] keâe ceeve........ nw~ = 5 +26 = 3 + [3 × {3 – 6 ÷ 6}] = 31 = 3 + [3 × {3 – 1}] 37. 84÷32×8–15÷8×(19–35) keâe ceeve %eele keâerefpeS~ = 3 + [3 × 2] (a) 38 (b) 45 =3+6=9 (c) 51 (d) 42 42. yees[ceeme (BODMAS) efveÙece keâe GheÙeesie keâjles ngS, RRB NTPC (Stage-2) 14/06/2022 (Shift-I) efvecveefueefKele keâes nue keâerefpeS~ Ans. (c) : 84 ÷ 32 × 8 – 15 ÷ 8 × (19 – 35) 7 21 = 84 ÷ 32 × 8 – 15 ÷ 8 × (–16) × × 25 ( 652 − 552 ) 9 5 84 15 = × 8 − × ( −16 ) (a) 42000 (b) 86000 32 8 (c) 98000 (d) 84000 = 21 + 30 = 51 RRB NTPC 28.01.2021 (Shift-I) Stage I 38. 72 ÷ 4 × { 8 × 4 – (14 – 19)} keâe ceeve %eele keâerefpeS~ Ans. (c) : ØeMve mes- × × 25 ( 652 − 552 ) (a) 666 (b) 444 7 21 (c) 222 (d) 1296 9 5 RRB NTPC (Stage-2) 14/06/2022 (Shift-I) 49 × 5 = ( 65 + 55 )( 65 − 55 ) 3 Ans. (a) : 72 ÷ 4 × { 8 × 4 – (14 – 19)} = 72÷ 4{8×4–(–5)} = 72÷ 4{8×4 + 5} 49 × 5 = × 120 ×10 = 72 ÷4{32 + 5} 3 = 72 ÷4 × 37 = 49 × 5 × 40 × 10 = 18 × 37 = 98000 = 666 2 39. 529 ÷ 23 × 61 – 1403 keâe ceeve %eele keâerefpeS~ 43. × [2 + {2(11 + 4 − 2)}] − 2 keâe ceeve %eele keâerefpeS~ 7 (a) 0 (b) 2 (a) 7 (b) 9 (c) 3 (d) 1 (c) 8 (d) 6 RRB Group-D 01/09/2022 (Shift-III) RRB NTPC 09.03.2021 (Shift-II) Stage Ist Ans. (a) : 529 ÷ 23 ×61 – 1403 = 23 × 61 – 1403 Ans. (d) : ØeMve mes, = 1403 – 1403 2 × [2 + {2(11 + 4 − 2)}] − 2 =0 7 109 BODMAS efveÙece mes, 3 48. × 3 + {3 + (11 + 5 + 6 )} keâe ceeve %eele 2 5 = × [2 + {2 × 13}] − 2 7 keâerefpeS~ 2 2 6 4 4 = × [2 + 26] − 2 (a) 10 (b) 12 (c) 11 (d) 16 7 5 5 5 5 2 RRB NTPC 04.03.2021 (Shift-I) Stage Ist = × 28 − 2 Ans. (d) : ØeMve mes, 7 = 2 × 4 –2 3 × 3 + {3 + (11 + 5 + 6)} =6 5 44. 15×14 – 30 + (32+17) keâe ceeve................. nw~ 3 = × 3 + {3 + (22)} (a) 154 (b) 266 5 (c) 124 (d) 206 3 RRB NTPC 04.01.2021 (Shift-I) Stage Ist = × 3 + {25} 5 Ans. (d) : 15 × 14 – 30 + (32 + 17) = ? 3 210 – 30 + 26 = × [ 28] 5 210 – 4 = 206 3 45. efvecveefueefKele keâes nue keâerefpeS: = × 28 5 79 + [37 – {45 – (1 – 36 ÷ 6 × 8)}]=? 4 (a) 33 (b) 24 = 16 (c) 59 (d) 41 5 RRB NTPC 23.07.2021 (Shift-II) Stage Ist 49. mejueerkeâjCe keâerefpeS: Ans. (b) : 79 + [37 – {45 – (1 – 36 ÷ 6 × 8)}] 1 24 × 3 - 5 × {[-5(5 - 2)] ÷ 10} BODMAS efveÙece mes nue keâjves hej - 3 = 79 + [37 – {45 – (1 – 6 × 8)}] (a) 121.5 (b) 69.5 = 79 + [37 – {45 – (1 – 48)}] (c) 74.5 (d) 31.5 = 79 + [37 – {45 + 47}] RRB NTPC 10.01.2021 (Shift-I) Stage Ist = 79 + [37 –92] 1 = 116 –92 Ans. (c) : 24 × 3 − 5 × 3 {[−5(5 − 2)] ÷ 10} = 24 BODMAS mes nue keâjves hej 46. efvecveefueefKele keâes nue keâerefpeS~ 1 = 24 × 3 − 5 × {[ −5 × 3)] ÷ 10} ( 4+2–16÷4+3) +{(1+8×7) ÷19}×( 3+5–4) +(17–9×4) =? 3 1 1 −3 (a) –40 (b) 40 = 24 × 3 − 5 × {−15 ÷ 10} = 24 × 3 − 5 × × (c) –225 (d) 335 3 3 2 RRB NTPC 30.12.2020 (Shift-I) Stage Ist 5 144 + 5 = 72 + = Ans. (a) : (4 + 2 – 16 ÷ 4 + 3) + {(1 + 8 × 7) ÷ 19} × [(3 2 2 + 5 – 4) + (17 – 9 × 4)] 149 = (6 – 4 + 3) + {57 ÷ 19} × [4 + (–19)] = = 74.5 2 = 5 + 3 × (–15) = 5 – 45 50. 7 + 5 - 2 × (7 + 89) - 94 ÷ 2 + (33 ÷ 3 + 9 × 2 - 7) = – 40 ÷ 11 keâe ceeve keâerefpeS~ (a) -235 (b) -245 47. efvecveefueefKele meceerkeâjCe keâes nue keâjW~ (c) 245 (d) -225 2 - 2 - {2 - 2 ( 2 + 2 )} = ? RRB NTPC 05.01.2021 (Shift-I) Stage Ist (a) -4 (b) 6 Ans. (d) : 7 + 5 – 2 × (7 + 89) – 94 ÷ 2 + (33 ÷ 3 + 9 × 2 – 7) ÷ 11 (c) 4 (d) -6 12 – 2 × 96 – 47 + (11 + 18 – 7) ÷ 11 RRB NTPC 05.03.2021 (Shift-I) Stage Ist 12 – 192 – 47 + 2 Ans. (d) : 2 − 2 − {2 − 2 ( 2 + 2 )} = ? 14 – 239 = – 225 51. mejue keâjW : 2 − 2 − {2 − 8} = ? 1800 ÷ 10 × {45 ÷ (17-2)} × 2 + {- 2 (1 + 2)} 2 − = ? (a) 0 (b) 180 (c) 114 (d) 1074 −6 = ? RRB NTPC 09.01.2021 (Shift-II) Stage Ist 110 Ans. (d) : efoÙee nw – 1800 ÷ 10 × {45 ÷ (17 – 2 )} × 2 + { –2 (1 + 2 )} 57. 56 ÷ 1 3 { ( )} 15 + 12 - 9 + 6 - 5 + 7 = ? (a) 9 (b) 8 = 1800 ÷ 10 × {45 ÷ 15} × 2 + { –2 × 3} (c) 12 (d) 7 = 1800 ÷ 10 × {3} × 2 + { –6} RRB Group-D – 17/09/2018 (Shift-I) = 1800 ÷ 10 × 6 – 6 Ans : (d) = 180 × 6 – 6 = 1080 – 6 1 { ( 56 ÷ 15 + 12 − 9 + 6 − 5 + 7 3 )} 1 = 1074 = 56 ÷ {15 + 12 − (15 − 12 )} 52. nue keâjW : 10 ²10 ´10 9 2 3 3 8 6 1 (a) 10 (b) 10 = 56 ÷ {15 + 12 − 3} (c) 102 (d) 105 3 RRB RPF Constable -22/01/2019 (Shift-III) 1 = 56 ÷ {24} 109 × 102 3 Ans : (a) 109 × 102 ÷ 103 = = 10 6 × 10 2 103 1 = 56 ÷ × 24 = 108 3 53. {20 - (25- 33)} ÷ {-5×4 - (-6)} + 56 ÷ (-27 +13) = ? = 56 ÷ 8 (a) -2 (b) -6 56 = =7 (c) -4 (d) 4 8 RRB RPF Constable -20/01/2019 (Shift-I) 1 1 Ans. (b) 58. 2 3 - ( 5 + ( 2 - 3 ) + 3 2 = ? {20 − (25 − 33)} ÷ {−5 × 4 − (−6)} + 56 ÷ (−27 + 13) = ? 11 12 (a) (b) = {20 + 8} ÷ {−20 + 6} + 56 ÷ (−14) 2 6 = {28} ÷ {−14} − 4 11 (c) (d) 2 = −2 − 4 = −6 6 RRB Group-D – 23/09/2018 (Shift-I) 54. {40 – (90 ÷ 5 × 16 – 8 ÷ 2 ÷ 3)} = ? (a) 16 (b) 28 1 1 (c) 14 (d) 64 Ans : (c) 2 − ( 5 + (2 − 3) + 3 = ? 3 2 RRB RPF-SI -11/01/2019 (Shift-II) BODMAS mes nue keâjves hej— Ans : (a){40 – (90 ÷ 5 × 16 – 8 ÷ 2 ÷ 3)} = ? ⇒ {40 – ( 90 ÷ 5 × 8 ÷ 2 ÷ 3) } = ? 1 1 ⇒ {40 – (90 ÷ 5 × 4 ÷ 3) } = ? 2 3 − ( 5 + (2 − 3) + 3 2 ⇒ { 40 – ( 18 × 4 ÷ 3) } = ? 7 7 ⇒ { 40 – 24} = ? = − ( 5 − 1) + ? = 16 3 2 55. efvecve keâes nue keâjW- 7 7 = − 4 + 2550 − [510 − {270 − (90 − 80 + 70)}] 3 2 (a) 2240 (b) 2230 (c) 2220 (d) 2210 −5 7 = + RRB ALP & Tec. (20-08-18 Shift-I) 3 2 Ans : (b) 2550 − [510 − {270 − (90 − 80 + 70)}] −10 + 21 = = 2550 − [510 − {270 − 80}] 6 = 2550 − [510 − 190] 11 = = 2550 – 320 6 = 2230 59. 63 – (- 3) (-2 -8 -4) ÷ 3 of { 5 + (-2) (-1) } = ? 56. efvecve keâes nue keâjW– (a) -60 (b) 60 23 – [23 – {23 – (23 – 23 + 23)}] (c) 65 (d) 61 (a) –1 (b) 23 RRB Group-D – 23/09/2018 (Shift-I) (c) 1 (d) 0 Ans : (d) 63 – (–3) (–2 –8 – 4) ÷ 3 keâe { 5 + (–2) (–1)} RRB ALP & Tec. (20-08-18 Shift-III) = 63 – (–3) (–14) ÷ 3 × { 5 + 2} Ans : (d) 23 – [23 – {23 – (23 – 23 + 23)}] = 63 – (–3) (–14) ÷ 3 × 7 = 23–[23–{23–23+23–23}] = 63 – (–3) (–14) ÷ 21 = 23–[23–0] = 63 – 42 ÷ 21 = 23–23 = 0 = 63 – 2 = 61 111 60. 72 ÷ [ 27 – {35 – (42 – 45 ÷ 9 × 2 ) }] = ? lees G keâe Skeâ ÛeewLeeF& DeLee&led (a) 3 (b) 8 G 148 (c) 6 (d) 4 = 4 4 RRB Group-D – 24/09/2018 (Shift-II) = 37 Ans : (a) 72 ÷ [ 27 – { 35 – ( 42 – 45 ÷ 9 × 2 )}] 1 = 72 ÷ [ 27 – { 35 – (42 – 10)}] 65. 18 ÷ {11 + 16 – (10 + 7 – 6 + 8 )} = ? = 72 ÷ [ 27– { 35 – 32 }] 8 = 72 ÷ [ 27 – 3] (a) 6 (b) 9 = 72 ÷ 24 (c) 18 (d) 3 =3 RRB Group-D – 05/10/2018 (Shift-II) 61. Ùeefo T = (93 + 15) ÷(3 × 4) – 24 + 8 nes, lees T keâe Ans : ( a ) ØeMve mes - ceeve keäÙee nesiee? 1 ? = 18 ÷ {11 + 16 – (10 + 7 – 6 + 8 )} (a) –4 (b) –7 8 (c) –2 (d) –5 1 = 18 ÷ {11 + 16 – (10 + 7 – 14)} RRB Group-D – 24/09/2018 (Shift-II) 8 Ans : (b) T = (93 + 15) ÷ (3 × 4) – 24 + 8 1 = (108) ÷ (12) – 24 + 8 = 18 ÷ {11 + 16 – 3} 8 = 108 ÷ 12 – 24 + 8 = 9 – 24 + 8 1 = 18 ÷ × 24 = 17 – 24 8 T=–7 ? = 18 ÷ 3 = 6 62. 75 ÷ [ 35 – {63 – (79 – 54 ÷ 9 × 6 )}] = ? 66. 74 – [85 ÷ {49 – (41 – 35 ÷ 9 × 3 )}] = ? (a) 5 (b) 3 (a) 59 (b) 79 (c) 15 (d) 25 RRB Group-D – 26/09/2018 (Shift-I) (c) 49 (d) 69 RRB Group-D – 19/09/2018 (Shift-III) Ans : (a) 75 ÷ [ 35 – {63 – (79 – 54 ÷ 9 × 6)}] = ? ⇒ 75 ÷ [ 35 – {63 – (79 – 6 × 6)}] = ? Ans. (d) 74 – [85 ÷ {49 – (41 – 35 ÷ 9× 3 )}] ⇒ 75 ÷ [ 35 – {63 – (79 – 36}] = ? ? = 74 – [85 ÷ {49 – (41 – 35 ÷ 27)}] ⇒ 75 ÷ [ 35 – {63 – 43}] = ? = 74 – [85 ÷ {49 – (41 – 243 ÷ 27)}] ⇒ 75 ÷ [ 35 – 20 ] = ? ⇒ 75 ÷ 15 = 5 = 74 – [85 ÷ {49 – (41 – 9)}] = 74 – [85 ÷ {49 – 32}] 63. { ( 144 ÷ 40 - 37 - 25 - 112 ÷ 7 × 4 )} = 74 – [85 ÷ {17}] (a) 4 (b) 8 = 74 – [85 ÷ 17] (c) 2 (d) 6 = 74 – RRB Group-D – 28/09/2018 (Shift-II) ? = 74 – 5 = 69 Ans. (d) : 144 ÷ 40 − {37 − (25 − 112 ÷ 7 × 4)} 67. mejueerke=âle keâjW: 25+15–(51)+(4×15 keâe 17) ÷ 20+ 6 − 2 = ? ⇒ 144 ÷ [ 40 − {37 − (25 − 112 ÷ 28)}] (a) 45 (b) 44 (c) –44 (d) –45 ⇒ 144 ÷ [ 40 − {37 − (25 − 4)}] RRB Group-D – 26/10/2018 (Shift-II) ⇒ 144 ÷ [ 40 − {37 − 21}] Ans : (b) 25+15–(51)+(4×15 keâe 17) ÷ 20+ 6 − 2 ⇒ 144 ÷ [ 40 − 16] 4 × 15 × 17 ⇒ 25 + 15 − 51 + +4 ⇒ 144 ÷ 24 = 6 20 64. Ùeefo G = (96 ÷12) + 14 × (12 +8) ÷ 2 ⇒ 40–51+51+4 = 44 lees G kesâ Skeâ ÛeewLeeF& keâe ceeve keäÙee nesiee? 68. efvecve keâe ceeve %eele keâerefpeS– (a) 148 (c) 36 (b) 37 (d) 38 { ( 10 + 26 − 15 × 20 − 5 ÷ 2 × 7 − 5 )} = ? RRB Group-D – 03/10/2018 (Shift-II) (a) 189 (b) –198 Ans : (b) (c) 198 (d) –189 G = (96 ÷ 12) + 14 × (12 + 8) ÷ 2 RRB Group-D – 01/10/2018 (Shift-I) = 8 + 14 × 20 ÷ 2 = 8 + 14 × 10 { ( Ans. (d) : 10 + 26 − 15 × 20 − 5 ÷ 2 × 7 − 5 = ?)} = 8 + 140 1 = 10 + 26 − 15 × 20 − 5 × × 2 G = 148 2 112 = 10 + {26 − 15 × ( 20 − 5)} Ans : (b) 45 − [38 − {60 ÷ 3 − (6 − 9 ÷ 3) ÷ 3}] = 45 − [38 − {20 – 3÷ 3}] = 10 + {26 − 15 × (15 )} = 45 – [38 – 19] = 45–19 = 26 = 10 + {26 − 225} 74. efvecve nue keâjW: = 10 + 26 − 225 = −189 1 { 38 − (60 ÷ 5 ×16 − 8 ÷ 2 ÷ 3) = ? } 69. 4 + ×[{−12 × (24 − 13 - 3)} ÷ (20 − 4)] = ? (a) 30 (b) 29 6 (c) 22 (d) 37 (a) 4 (b) 6 RRB ALP & Tec. (10-08-18 Shift-III) (c) 5 (d) 3 { ( RRB ALP & Tec. (31-08-18 Shift-I) Ans : (c) 38 − 60 ÷ 5 × 16 − 8 ÷ 2 ÷ 3 = ? )} 1 Ans : (d) 4 + × {−12 × ( 24 − 13 − 3 )} ÷ ( 20 − 4 ) = {38 − ( 60 ÷ 5 × 8 ÷ 2 ÷ 3)} 6 1 = {38 − ( 60 ÷ 5 × 4 ÷ 3)} = 4 + × {−12 × 8} ÷ 16 6 4 1 = 38 − 12 × = 4 + × ( −6 ) = 4 − 1 3 6 = {38 − 16} = 22 =3 70. 45 − [38 − {80 ÷ 4 − (8 − 12 ÷ 3) ÷ 4}] = ? (a) 25 (b) 27 Type - 3 (c) 26 (d) 28 RRB ALP & Tec. (31-08-18 Shift-III) 75. efvecve JÙebpekeâ keâes mejue keâerefpeS~ Ans : (c) Q 45 − [38 − {80 ÷ 4 − (8 − 12 ÷ 3) ÷ 4}] (5.5)3 – 43 = 45–[38–{80÷4–4÷4}] = 45–[38–{20–1}] 30.25 + 22 + 16 = 45–[38–19] (a) 0.75 (b) 14.25 = 45–19= 26 (c) 1.5 (d) 9.5 71. 4 + (1/6) [{-10 × (25 - 13 - 3)} ÷ (-5)] = ? RRB NTPC (Stage-2) 16/06/2022 (Shift-II) Ans. (c) : efoÙee ieÙee JÙebpekeâ- (a) 8 (b) 9 (c) 6 (d) 7 (5.5)3 – 43 RRB ALP & Tec. (21-08-18 Shift-III) 30.25 + 22 +16 1 ( 5.5 – 4 )( 30.25 + 22 +16 ) Ans : (d) 4 + {−10 × ( 25 − 13 − 3)} ÷ (−5) = 6 ( 30.25 + 22 +16 ) 1 [(a3 – b3) = (a – b)(a2 + ab + b2)] ⇒ 4 + {(−10 × 9) ÷ (−5)} = 5.5 – 4 6 1 1 = 1.5 ⇒ 4 + (−90) × 76. efvecve JÙebpekeâ keâes mejue keâerefpeS~ 6 −5 1 153 + 203 + 253 – 22500 ⇒ 4 + ⇒ 4 + 3 = 7 6 152 + 202 + 252 – 300 – 500 – 375 72. (–8) [36 ÷ {7–(–2)}] ÷ (–4) {19–(–3) × (–5)} = ? (a) 50 (b) 60 (a) 2 (b) –4 (c) 80 (d) 75 (c) 4 (d) –2 RRB NTPC (Stage-2) 16/06/2022 (Shift-I) RRB ALP & Tec. (13-08-18 Shift-II) Ans. (b) : Ans : (a) Ùeefo efoS ieS Ghejeskeäle JÙebpekeâ keâe ceeve 'A' nw lees– a 3 + b 3 + c3 – 3abc = 2 A = (−8) 36 ÷ {7 − (−2)} ÷ (−4) {19 − (−3) × (−5)} ( a + b + c2 – ab – bc – ca ) × ( a + b + c ) 2 A = (−8) 36 ÷ {9} ÷ (−4) {19 − 15} peneB a = 15, b = 20, c = 25 A = (−8) [ 4] ÷ (−16) = 153 + 203 + 253 – 22500 32 152 + 202 + 252 – 300 – 500 – 375 A= = 2 16 = (15 3 + 203 + 253 – 22500 ) × (15 + 20 + 25 ) 73. 45 − [38 − {60 ÷ 3 − (6 − 9 ÷ 3) ÷ 3}] (a) 25 (b) 26 (15 2 + 202 + 252 – 300 – 500 – 375 ) × (15 + 20 + 25) (c) 24 (d) 21 = 15+20+25 RRB ALP & Tec. (13-08-18 Shift-III) = 60 113 77. JÙebpekeâ (3.7)3 – 3 × (3.7)2 × (0.7) + 3(3.7) × 81. ( 9.8× 9.8 - 5.8 × 5.8 ) keâe ceeve %eele keâerefpeS~ (0.7)2 – (0.7)3 efvecveefueefKele ceW mes efkeâmekesâ yejeyej nw? 2 × ( 7.8 ) (a) 10 (b) 27 (a) 6 (b) 5 (c) 30 (d) 35 (c) 4 (d) 3 RRB GROUP-D – 19/09/2022 (Shift-III) RRB Group-D 08/09/2022 (Shift-II) Ans. (b) : (a–b)3 = a3–3a2b+3ab2–b3 9.8 × 9.8 − 5.8 × 5.8 (3.7)3–3×(3.7)2×(0.7)+3(3.7)×(0.7)2–(0.7)3 Ans. (c) : = (3.7–0.7) 3 2 × (7.8) = (3) 3 ( 9.8 − 5.8 )( 9.8 + 5.8 ) = {(a2 – b2 = (a – b) (a + b)} mes = 27 2 × 7.8 78. Ùeefo a + b = 25 Deewj a - b =13 nw, lees (a + b)2 keâe 4 × 15.6 = =4 ceeve %eele keâerefpeS~ 15.6 (a) 625 (c) 525 (b) 225 (d) 496 82. ( 2+ 3 )( ) 2 − 3 keâe ceeve ______kesâ yejeyej RRB Group-D 29/08/2022 (Shift-III) nw~ Ans. (a) : a + b = 25....(i) (a) –1 (b) 2 a – b = 13....(ii) (c) 3 (d) –3 meceer. (i) Je meceer. (ii) mes RRB NTPC 19.01.2021 (Shift-II) Stage Ist a = 19, b = 6 Ans. (a) : ( 2+ 3 )( 2– 3 ) (a+b)2 = (19 + 6)2 = 625 Q ( a + b )( a – b ) = a – b 2 2 79. Ùeefo x + y + z = 11 nw, Deewj xy + yz + zx = 42 nw, lees ( ) ( ) 2 2 x2 + y2 + z2 keâe ceeve %eele keâerefpeS~ · 2 – 3 (a) 39 (b) 37 · 2–3 (c) 43 (d) 41 RRB GROUP-D – 17/08/2022 (Shift-I) · – 1 Ans. (b) : efoÙee nw– 83. efvecve meceerkeâjCe keâe ceeve %eele keâjW– x + y + z = 11 (469 + 144)2 - (469 - 144)2 xy + yz + zx = 4 2 =? 2(469 ×144) Q (x + y + z)2 = x2 + y2 + z2 + 2 (xy + yz + zx) (a) –2 (b) –1 ⇒ (11)2 = x2 +y2 + z2 + 2 × 42 (c) 1 (d) 2 ⇒ x2 +y2 + z2 = 121 – 84 RRB RPF Constable -19/01/2019 (Shift-II) ∴ x2 + y2 + z2 = 37 (469 +144) 2 - (469 -144) 2 2 2 Ans : (d) =? x 3 x +y 2(469×144) 80. Ùeefo = nw, lees 2 2 keâe ceeve %eele keâerefpeS~ y 2 x -y (a + b)2 − (a − b)2 4ab 7 11 met $e- = =2 (a) (b) 2(ab) 2ab 5 5 peneB, a = 469, b = 144 13 9 (c) (d) (469 +144) 2 - (469 -144) 2 5 5 =2 RRB GROUP-D – 17/08/2022 (Shift-III) 2(469×144) 2 2 x 3 x 2 + y2 (82 + 28) - (82 - 28) Ans. (c) : = lees 2 2 ceW 84. keâe ceeve %eele keâerefpeS~ y 2 x −y 82 × 28 x = 3 Deewj y = 2 jKeves hej (a) 220 (b) 4 x 2 + y 2 ( 3) + ( 2 ) 2 2 = (c) 8 (d) 110 x 2 − y 2 ( 3) 2 − ( 2 ) 2 RRB JE - 28/06/2019 (Shift-III) 9+4 (a + b) 2 − (a − b)2 4ab = Ans. (b) met$e- = =4 {a=82, b=28} 9−4 ab ab 13 2 2 = (82 + 28) − (82 − 28) 5 Q 82 × 28 x 2 + y 2 13 Dele: 2 2 = 4 × 82 × 28 x −y 5 = =4 82 × 28 114 85. {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 - 1} 9 1 9 x= = × (a) 1.09 (b) 1.98 80 8 10 (c) 0 (d) 1.562 1 1 RRB Group-D – 18/09/2018 (Shift-I) = 8 × 0.9 = 8 ×1 Ans. (c) : {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 − 1} 1 x = (ueieYeie) met$e- (a+b)3 = a3 + b3 + 3ab (a+b) 8 {(.98)3 + (0.02)3 + 3 × 0.98 × 0.02 (.98 +.02) –1} x 7 [( 0.98 ) + ( 0.02 )]3 − 1 89. Ùeefo 2x – 3y = –1 Deewj = nw, lees 2xy keâe x + y 12 (1.00 ) ceeve %eele keâerefpeS~ 3 −1 = 1 −1 = 0 (a) 65 (b) 70 1.93 × 19.3 − 2.07 × 20.7 (c) 60 (d) 75 86. yejeyej nw : 19.3 − 20.7 RRB NTPC 02.03.2021 (Shift-II) Stage Ist (a) 0.40 (b) 4.00 Ans. (b) : 2 x – 3y = – 1 (c) 40 (d) 0.04 x 7 RRB NTPC 18.04.2016 Shift : 2 Deewj = x + y 12 Ans : (b) 1.93 × 19.3 − 2.07 × 20.7 ⇒ 12x = 7x + 7y ⇒ 5x = 7y 19.3 − 20.7 x 7 10 (1.93 × 1.93) − 10 ( 2.07 × 2.07 ) ⇒ = = y 5 10 (1.93 − 2.07 ) Dele: 2xy = 2 × 7 × 5 = 70 (1.93) − ( 2.07 )2 2 2 a −b 2 = met$e- =a+b 90. Ùeefo x 6 nw, lees x – y 14 keâe ceeve keäÙee (1.93 − 2.07 ) a−b 2y 7 = + x + y 19 = (1.93 + 2.07 )(1.93 − 2.07 ) nesiee? (1.93 − 2.07 ) (a) 110 (b) 19 = 1.93 + 2.07 = 4 99 19 87. Ùeefo (1 + 2 + x)- (0.12 – 0.42 + 0.94) = 4 nw, lees x (c) 109 (d) 99 keâe ceeve efkeâlevee nesiee? 19 109 (a) 2.54 (b) 1.64 RRB NTPC 10.01.2021 (Shift-II) Stage Ist (c) 1.54 (d) 2.64 x 6 Ans. (b) : = RRB NTPC 17.01.2021 (Shift-I) Stage Ist 2y 7 Ans. (b) : ØeMve mes, x 12 = (1+ 2 + x ) – ( 0.12 – 0.42 + 0.94 ) = 4 y 7 = ( 3 + x ) – ( 0.64 ) = 4 ceevee x = 12 k, y = 7 k x – y 14 3 + x = 4.64 + x = 4.64 – 3 = 1.64 x + y 19 88. Ùeefo x, 0.3333 × 0.25 × 0.499 × 0.125 × 24 kesâ 12k – 7k 14 = + iegCeveheâue keâe efvekeâšlece meefVekeâšve nw, lees x keâe ceeve 12k + 7k 19 %eele keâerefpeS~ 5k 14 = + 3 2 19k 19 (a) (b) 5 + 14 19 4 5 = = 3 1 19 19 (c) (d) 8 8 91. 73 × 73 + 42 × 42 - 2 × 73 × 42 keâe ceeve %eele RRB NTPC 16.01.2021 (Shift-I) Stage Ist keâerefpeS~ Ans. (d) : efoÙee nw, (a) 961 (b) 676 x = 0.3333×0.25×0.499×0.125×24 (c) 981 (d) 861 x = 0.3× 0.25× 0.5× 0.125× 24 RRB RPF-SI -16/01/2019 (Shift-III) 3 25 5 125 Ans : (a) 73 × 73 + 42 × 42 - 2 × 73 × 42 x = × × × × 24 10 100 10 1000 met$e- (a–b)2 = a2+b2 – 2ab 3 1 1 1 x = × × × × 24 = (73)2 + (42)2 – 2 × 73 × 42 10 4 2 8 = (73 – 42)2 = (31)2 = 961 115 92. [(525+252)2 – (525-252)2]/ (525 × 252) keâe ceeve 3 %eele keâerefpeS~ 96. Ùeefo x = nw, lees 1 + x + 1 − x keâe ceeve %eele 2 (a) 3 (b) 4 keâerefpeS~ (c) 5 (d) 6 RRB RPF Constable -22/01/2019 (Shift-III) 3 (a) 2 − 3 (b) (c) 3 (d) 2 + 3 (525 + 252) − (525 − 252) 2 2 2 Ans : (b) RRB NTPC 27.02.2021 (Shift-I) Stage Ist 525 × 252 Ans. (c) : efoÙee nw, ( 525) + ( 252 ) + 2 × 525 × 252 − ( 525) − ( 252 ) + 2 × 525 × 252 2 2 2 2 = 3 525 × 252 x= 4 × 525 × 252 2 = =4 lees, 1+ x + 1− x = ? 525 × 252 Jeie& keâjves hej, Ùeefo ( a + b 2 ) = 19 + 6 2 nw, lees a keâe ceeve kesâ 2 ( ) =( ) +( ) 2 2 2 93. 1+ x + 1− x 1+ x 1− x + 2 1+ x 1− x..............yejeyej nw~ = 1 + x + 1 − x + 2 (1 + x )(1 − x ) (a) 4 (b) 3 (c) 2 (d) 1 = 2 + 2 1 − x2 RRB NTPC 13.01.2021 (Shift-I) Stage Ist 4−3 =2+2 Ans. (d) : ( a + b 2 ) = 19 + 6 2 2 4 = 19 + 2 × 3 2 1 =2+2 = 19 + 2 × 1 × 3 2 4 1 = 1 + 18 + 2 × 1 × 3 2 = 2 + 2× 2 = 1 2 + ( 3 2 )2 + 2 × 1 × 3 2 =2+1 met$e, (a+b)2 = a2 + b2 + 2ab mes =3 (a + b 2 ) 2 = (1+ 3 2 )2 1 97. Ùeefo x = nw, lees x+1 keâe ceeve keäÙee nesiee? a + b 2 = 1+ 3 2 2 +1 oesveeW he#ees keâer leguevee keâjves hej (a) 2 (b) 2 (c) 2 + 1 (d) 2 − 1 a = 1 leLee b = 3 RRB NTPC 22.02.2021 (Shift-I) Stage Ist 1 94. Ùeefo a = 4 efoÙee ieÙee nw, lees efvecveefueefKele keâe ceeve Ans. (a) : x = 2 +1 %eele keâerefpeS : 1 9 + 25 a + 64 x +1 = +1 2 +1 (a) 51 (b) 61 (c) 41 (d) 31 1+ 2 + 1 2 + 2 = = RRB NTPC 05.03.2021 (Shift-II) Stage Ist 2 +1 2 +1 Ans. (b) : efoÙee ØeMveevegmeej, nw, a = 4 = 2 = 2 ( 2 +1 )= 2 2 +1 9 + 25a + 64 = 3 + 25 × 2 + 8 2 2+ 7 98. Ùeefo = x + y 14 nw, lees y keâe ceeve %eele = 3 + 50 + 8 2 2- 7 = 61 keâerefpeS~ 1 (a) 15 (b) 0 (c) 19 (d) 4 95. Ùeefo 625 ÷ x = nw, lees x keâe ceeve %eele keâerefpeS~ RRB NTPC 30.01.2021 (Shift-I) Stage Ist 5 (a) 15625 (b) 3125 2 2+ 7 (c) 125 (d) 1225 Ans. (d) : = x + y 14 2 2- 7 RRB NTPC 04.03.2021 (Shift-II) Stage Ist 2 2+ 7 2 2+ 7 1 × = x + y 14 Ans. (a) : 625 ÷ x = 2 2− 7 2 2+ 7 5 ( ) 2 = 25 1 = ⇒ x = 125 2 2+ 7 x 5 = x + y 14 ( ) ( ) 2 2 x = 15625 2 2 − 7 116 8 + 7 + 4 14 Ùeefo 3 5 -5 nw, lees b keâe ceeve %eele = x + y 14 102. = a+b 5 8−7 3 5 +5 15 + 4 14 = x + y 14 keâerefpeS~ oesveeW he#eeW keâer leguevee keâjves hej, (a) 7 2 (b) (c) _ 3 (d) 3 5 x = 15 2 3 2 2 y=4 RRB NTPC 28.01.2021 (Shift-I) Stage I ∴y=4 Ans. (c) : 3 5 −5 99. Ùeefo 1225 × 32 ÷ x = 70, x keâe ceeve %eele keâerefpeS~ =a+b 5 3 5 +5 (a) 16 (b) 4 ( ) 2 (c) 8 (d) 2 3 5 −5 3 5 −5 3 5 −5 3 5 −5 RRB NTPC 30.12.2020 (Shift-II) Stage Ist L.H.S = 3 5 + 5 = 3 5 + 5 × 3 5 − 5 = 45 − 25 Ans. (d) : efoÙee nw, 1225 × 32 ÷ x = 70 45 + 25 − 30 5 70 − 30 5 7 − 3 5 = = = oesveeW he#eeW keâe Jeie& keâjves hej– 1225 × 32 ÷ x = 4900 20 20 2 Hegve: oesveeW he#eeW keâe Jeie& keâjves hej– 7 3 = − 5 (1225 ) × 32 ÷ x = ( 4900 ) 2 2 2 2 Dele: L.H.S. mes R.H.S. keâe leguevee keâjves hej- (1225) 2 x= × 32 3 b=− ( 4900 ) 2 2 48020000 3 +1 3 –1 x= 103. Ùeefo x = Deewj y = nw, lees 3(x + y) keâe 24010000 3 -1 3 +1 x=2 ceeve %eele keâerefpeS~ (a) 13 (b) 8 ( ) 2 100. Ùeefo 5 + 1 = a + b 5 nw, lees a, b keâe ceeve %eele (c) 12 (d) 10 RRB NTPC 15.03.2021 (Shift-I) Stage Ist keâerefpeS~ peneb (a > b) nw~ (a) 4, 2 (b) 6, 2 3 +1 3 −1 Ans. (c) : x = ,y = (c) 6, 4 (d) 8, 6 3 −1 3 +1 RRB NTPC 02.03.2021 (Shift-I) Stage Ist 3 +1 3 −1 3( x + y) = 3 + 3 + 1 Ans. (b) : 3 −1 ( ) 2 5 +1 = a + b 5 3 +1+ 2 3 + 3 +1− 2 3 = 3 5 +1+ 2 5 = a + b 5 2 6+2 5 = a +b 5 = 12 oesvees he#eebs keâer leguevee keâjves hej, 5 7 a=6 104. Ùeefo 7 = 2.6 nes, lees keâe ceeve %eele 4 7 - 0.4 b=2 keâerefpeS ~ (a) 1.3 (b) 1.2 5 (c) 1.5 (d) 1.1 101. Ùeefo 15 = 3.88 nw, lees keâe ceeve %eele keâerefpeS~ 3 RRB NTPC 05.03.2021 (Shift-II) Stage Ist (a) 4.293 (b) 2.293 Ans. (a) : 5 7 4 7 - 0.4 (Q 7 = 2.6) (c) 3.293 (d) 1.293 RRB NTPC 19.01.2021 (Shift-I) Stage Ist 5 × 2.6 13.0 13 = = = = 1.3 Ans. (d) : efoÙee nw, 15 = 3.88 4 × 2.6 – 0.4 10.4 – 0.4 10 105. efvecve keâes nue keâjW: DebMe Je nj cesW 3 ⇒ 5 = 5 × 3 ( 0.54 × 0.540 - 0.460 × 0.460 ) = ? 3 3 3 mes iegCee keâjves hej (1 - 0.920 ) 15 3.88 (a) 0.1 (b) 2 ⇒ = = 1.293 (c) 1 (d) 0.01 3 3 RRB Group-D – 10/10/2018 (Shift-II) 117 0.54 × 0.540 − 0.460 × 0.460 (a) 60 (b) 61 Ans : (c) (1 − 0.920 ) 34 11 11 60 (a – b ) = (a + b) (a – b) mes 2 2 (c) (d) 61 11 RRB NTPC 11.02.2021 (Shift-I) Stage Ist ( 0.54 ) − ( 0.460 ) ( 0.54 + 0.460 )( 0.54 − 0.460 ) 2 2 ⇒ = x 6 (1 − 0.920 ) (1 − 0.920 ) Ans. (b) : = y 5 1 × 0.08 ceevee · x = 6k ⇒ =1 0.08 leLee y = 5k x 4 5x + 7y 6x + 4y x 2 + y 2 ( 6k ) + ( 5k ) 2 2 106. Ùeefo = nw, lees + keâe ceeve %eele 61k 2 y 5 5x – 7y 7x – 8y = = ( 6k ) - ( 5k ) 11k 2 x 2 - y2 2 2 keâerefpeS~ 4 11 61 (a) – (b) = 5 3 11 3 22 154 15.4 (c) (d) – 109. Ùeefo = nw, lees x keâe ceeve %eele keâjW~ 2 3 0.154 x RRB NTPC 29.12.2020 (Shift-II) Stage Ist (a) 0.0154 (b) 15.4 Ans. (d) : efoÙee nw- (c) 154 (d) 1.54 RRB NTPC 11.01.2021 (Shift-I) Stage Ist x 4 = Ans. (a) : y 5 154 15.4 ceevee x = 4, y = 5 = 0.154 x 5x + 7y 6x + 4y 20 + 35 24 + 20 1000 15.4 + = + = 5x − 7y 7x − 8y 20 − 35 28 − 40 1 x 55 44 15.4 = + ∴ x = = 0.0154 −15 −12 1000 11 11 3x 48 x =− − 110. Ùeefo = nw, lees keâe vÙetvelece ceeve %eele 3 3 2y 72 y =− 22 keâerefpeS- 3 2 4 (a) (b) x - y x + y xy 9 9 107. Ùeefo = = nw~ xy keâe ceeve %eele keâerefpeS~ 3 5 8 5 3 (a) 18 (b) 14 (c) (d) (c) 16 (d) 12 9 9 RRB NTPC 15.02.2021 (Shift-I) Stage Ist RRB NTPC 18.01.2021 (Shift-I) Stage Ist x - y x + y xy Ans. (b) : ØeMve mes- Ans. (c) : ceevee, = = =k 3x 48 3 5 8 = x – y = 3k … (i) 2y 72 x + y = 5k … (ii) x 48 × 2 meceer. (i) + (ii) mes, = y 72 × 3 x = 4k leLee y = k x 2 2 xy = × =k y 3 3 8 x y = 8k x 4 = x y = 8k y 9 ↓ ↓ 9m × 35 × 273 4k × k = 8k 111. Ùeefo = 39 nw, lees m keâe ceeve %eele k=2 3 × 814 xy = 8 k ⇒ xy = 8×2=16 keâerefpeS~ (a) 6 (b) 5 x 6 x2 + y 2 108. Ùeefo = nw, lees 2 keâe ceeve %eele keâerefpeS~ (c) 7 (d) 12 y 5 x − y2 RRB NTPC 17.01.2021 (Shift-II) Stage Ist 118 Ans. (a) : efoÙee nw, (0.03)2 + (0.51)2 + (0.083)2 115. keâe ceeve %eele 9 × 3 × 27 m 5 3 (0.003)2 + (0.051)2 + (0.0083)2 = 39 3 × 814 keâerefpeS~ (a) 100 (b) 10 39 × 3 × ( 3 ) 4 4 9m = (c) 0.1 (d) 1000 35 × ( 33 ) 3 RRB NTPC 09.03.2021 (Shift-II) Stage Ist 39 × 31 × 316 Ans. (a) : ØeMve mes, 9m = 35 × 39 (0.03) 2 + (0.51)2 + (0.083)2 9 = 3 × 3−14 m 26 (0.003)2 + (0.051) 2 + (0.0083) 2 32m = 312 100[(0.003)2 + (0.051)2 + (0.0083)2 ] IeeleeW keâer leguevee keâjves hej = 2m = 12 (0.003)2 + (0.051) 2 + (0.0083)2 ∴ m=6 = 100 ( 3.17 + 9.12 ) + ( 3.17 – 9.12 ) 2 2 112. efoS ieS meceerkeâjCe ceW x keâe ceeve %eele keâerefpeS~ 116. keâe ceeve %eele 5 12 3.17 × 3.17 + 9.12× 9.12 x+ = 27 27 keâerefpeS~ 7 10 (a) 4 (b) 3 (c) 2 (d) 1 (a) (b) RRB NTPC 29.01.2021 (Shift-II) Stage I 27 27 1 9 Ans. (c) : (c) (d) ( 3.17 + 9.12 ) + ( 3.17 − 9.12 ) 2 2 3 27 RRB NTPC 26.07.2021 (Shift-I) Stage Ist 3.17 × 3.17 + 9.12 × 9.12 5 12 (a + b) + (a − b) 2 (a + b ) 2 2 2 2 Ans. (a) : x + = Q = =2 27 27 12 5 7 a 2 + b2 ( a 2 + b2 ) x= − = 27 27 27 2 (3.17)2 + (9.12)2 7 = Dele: x = nesiee~ (3.17)2 + (9.12)2 27 0.2× 0.2 + 0.02× 0.02 - 0.4× 0.02 =2 113. keâes nue keâerefpeS~ 0.36 1 1 1 1 (a) 2.199 (b) 0.09 117. Ùeefo : = : nw, lees x keâe ceeve ______ 25 x x 625 (c) 2 (d) 3.195 nesiee~ RRB NTPC 09.02.2021 (Shift-I) Stage Ist (a) 25 (b) 125 (c) 625 (d) 1.25 0.2 × 0.2 + 0.02 × 0.02 − 0.4 × 0.02 RRB NTPC 04.03.2021 (Shift-II) Stage Ist Ans. (b) : 0.36 1 1 1 1 Q a 2 + b 2 − 2ab = (a − b) 2 mes Ans. (b) : : = : 25 x x 625 (0.2)2 + (0.02)2 − 2 × 0.2 × 0.02 1 1 = 0.36 25 = x ⇒ 1 × x = 625 (0.2 − 0.02) 2 1 1 25 1 x = 0.36 x 625 x 625 (0.18) 2 ⇒ = ⇒ x 2 = 25 × 625 = = 0.09 25 x 0.36 x = 25 × 625 = 5 × 25 = 125 114. Ùeefo 65×65 = 4225 nw, lees 6.5×6.5 keâe ceeve %eele 0.5 × 0.5 + 0.09 - 0.15 keâerefpeS~ 118. keâe ceeve %eele keâerefpeS~ (a) 422.5 (b) 42.25 0.125 + 0.027 (c) 42025 (d) 0.004225 5 5 4 3 (a) (b) (c) (d) RRB NTPC 03.03.2021 (Shift-I) Stage Ist 4 6 5 4 Ans. (b) : ØeMve mes, RRB NTPC 15.02.2021 (Shift-II) Stage Ist Q 65 × 65 = 4225 0.5 × 0.5 + 0.09 − 0.15 Ans. (a) : ∴ 6.5 × 6.5 = 65 × 65 × 0.01 0.125 + 0.027 = 4225 × 0.01 0.5 × 0.5 + 0.3 × 0.3 − 0.5 × 0.3 = ( 0.5 ) + ( 0.3) 3 3 = 42.25 119 122. mejueerke=âle keâjW: y + [y – (y + x ) + {y – (y – x)} + (z ( 0.5) + ( 0.3) – ( 0.5 ) × ( 0.3) 2 2 = +x)]=? ( 0.5 + 0.3) {( 0.5 ) + ( 0.3) − ( 0.5 ) × ( 0.3)} 2 2 (a) y (b) x + y + z (c) y + z (d) x + z {Q x 3 + y3 = (x + y)(x 2 + y 2 − xy} RRB Group-D – 30/10/2018 (Shift-I) Ans : (b) y + [ y – (y + x ) + {y – (y – x) } + (z +x)] 1 1 5 = y + [ y – y – x + {y – y + x } + z + x] = = = (0.5 + 0.3) 0.8 4 =y–x+x+z+x =x+y+z 119. Ùeefo 2508 ÷ 12.54 + (X × 11) = 200, nw, lees 'X' keâe ceeve %eele keâerefpeS~ 123. 23 × 31 = 713 lees 0.00713 ÷ 3.1 efkeâleves kesâ yejeyej (a) 2.5 (b) 0 (c) 4 (d) 3.5 nw? RRB JE - 22/05/2019 (Shift-III) (a) 0.023 (b) 0.0023 (c) 0.23 (d) 2.3 Ans : (b) 2508 ÷ 12.54 + (X × 11) = 200 RRB Group-D – 24/09/2018 (Shift-II) 200 + (X × 11) = 200 (X × 11) = 200 – 200 Ans : (b) 23 × 31 = 713 lees 0.00713 ÷ 3.1 · ? 0 X= ∵ 23 × 31 = 713 11 ØeMveevegmeej, X=0 713 x A B = 23 − − − − − (i) 120. Ùeefo = + , lees A Deewj B keâe ceeve 31 2 x -1 x -1 x +1 0.00713 ÷ 3.1 %eele keâerefpeS~ 713 × 10−5 = (a) 2, –2 (b) 1/2, –1/2 31 × 10−1 (c) 1/2, 1/2 (d) 2, 2 713 = × 10−5 × 10 RRB JE - 23/05/2019 (Shift-III) 31 Ans : (c) 713 = × 10−4 x A B 31 = + 713 x2 −1 x −1 x +1 meceer] (i) mes keâe ceeve jKeves hej — 31 x A(x + 1) + B(x − 1) = 23 × 10–4 = x −1 2 (x − 1) 2 = 0.0023 x = Ax + A + Bx – B 0.5 - 0.1x 124. Ùeefo = 0.2, lees x · ? x + 0 = x (A + B) + (A – B) 1.3 - 0.8x A+B=1 leguevee keâjves hej- (a) – 1 (b) – 1 A–B=0 (c) – 3 (d) – 4 2A = 1 RRB Group-D – 24/09/2018 (Shift-II) A = 1/2 0.5 − 0.1x Ans : (d) = 0.2, B = 1/2 1.3 − 0.8 x 121. Ùeefo 5x/(1 + 1/(1 + x/(1 – x))) =1, lees 'x' keâe ceeve 0.5 – 0.1x = 0.26 – 0.16x %eele keâjW~ 0.16x – 0.1x = 0.26 – 0.5 0.06x = - 0.24 (a) 1 (b) 1/3 (c) 5/3 (d) 2/3 0.24 RRB JE - 29/05/2019 (Shift-II) x= − 0.06 Ans : (b) ØeMve mes- x=–4 5x 125. efvecve meceerkeâjCe keâes nue keâj x keâe ceeve %eele keâerefpeS: 1+ 1 (x - 5) ( x - 2 ) 7 x - = 1+ 3 4 2 1− x (a) 42 (b) 60 5x 5x 5x (c) 56 (d) 52 = = = =1 ∴ 5x = 2 − x RRB Group-D – 10/10/2018 (Shift-II) (1 − x) (1 − x) 2 − x 1+ 1+ 1− x + x 1 ( x − 5) ( x − 2) 7 Ans : (c) − = 6x = 2 3 4 2 1 4 ( x − 5) − 3( x − 2) 7 x= ⇒ = 3 12 2 120 4 x − 20 − 3x + 6 7 x2 – (a + b) x + ab = 0 ⇒ = x (x – a) –b (x – a) = 0 12 2 x − 14 7 (x – a) (x – b) = 0 ⇒ = x = a, x = b 12 2 ⇒ x − 14 = 42 Dele : x kesâ oes ceeve a, b nw~ ⇒ x = 56 130. Ùeefo 202.4 ÷ x = 5.06, lees X keâe ceeve %eele keâjW~ 126. Ùeefo 1120/√x = 80, lees x = ? (a) 30 (b) 42 (a) 225 (b) 196 (c) 43 (d) 40 (c) 125 (d) 336 RRB Group-D – 31/10/2018 (Shift-III) RRB Group-D – 24/09/2018 (Shift-I) Ans : (d) 202.4 ÷ x=5.06 202.4 Ans : (b) 1120 = 80 ⇒ = 5.06 x x 202.4 14 = x ⇒ x= 5.06 oesveeW he#eeW keâe Jeie& keâjves hej – 20240 ⇒ x= ( ) 2 (14)2 = x 506 x = 40 196 = x 131. Ùeefo 123 × 356=43788, lees 1.23 × 35.6 =? 127. Ùeefo P = 36 – 2 (20 + 12 ÷ 4 × 3 – 2 × 2) + 10 nw, a) 4.3788 (b) 43.788 lees P keâe oesiegvee nesiee~ (c) 0.43788 (d) 437.88 (a) –8 (b) –4 RRB Group-D – 23/09/2018 (Shift-II) (c) –2 (d) –10 RRB Group-D – 25/09/2018 (Shift-I) Ans : (b) ØeMve mes- Ans : (a) efoÙee ieÙee nw– 123 × 356 = 43788 P = 36– 2 (20 + 12 ÷ 4 × 3 – 2 × 2) + 10 1.23 × 35.6 = 123 356 × P = 36 – 2 (20 + 3 × 3 – 2 × 2) + 10 100 10 P = 36–2 (29 – 4) + 10 43788 P = 36 – 50 + 10 = = 43.788 P = –4 1000 lees P keâe oesiegvee = – 4 × 2 = –8 132. mejue keâjes– 128. Ùeefo 1131 ÷ 39 = 29, lees 11.31 ÷ 0.0029 = ? 1 ÷ [{p2 / (p + 6)} + {6p/(p + 6)}] (a) 3.9 (b) 3900 1 1 (c) 390 (d) 0.39 (a) (b)