RRB Maths Previous Year Questions in Hindi PDF

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This document contains previous years' RRB maths questions in Hindi. The questions are categorized chapterwise and include detailed answer explanations.

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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)

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