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1000 Resolved Math Questions for Exams

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The document contains 1000 solved math problems for public competitions, covering various topics such as algebra, number sets, equations, functions, geometry, probability, and statistics. Each question has a detailed solution.

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an ISO 9001: Certified Institution
Is Now In CHENNAI | MADURAI | TRICHY | SALEM | COIMBATORE
www.RACEInstitute.in




2017-01-18 16:18:53
-------------------------------------------
IMP - IMP 1

IMP


Exclusively prepared for RACE STUDENTS
Chennai: #1, South Usman Road, T Nagar. | Madurai: #24/21, Near Mapillai Vinayagar Theatre, Kalavasal. | Trichy: opp
BSNL office, Juman Center, 43 Promenade Road, Cantonment. | Salem: #209, Sonia Plaza / Muthu Complex, Junction
Main Rd, State Bank Colony, Salem. | #545, First Floor, Diwan Bahadur Road, RS Puram, Coimbatore

| www.RaceInstitute.in

, R.A.C.E
Rapid Academy of Competitive Exams
SIMPLIFICATION 13. (
17
×
98 2
) =?
119 14
Day 1 (a) 5 (b) 7 (c) 3
Directions: What will come in place of the (d) 9 (e) None of these
question mark (?) in the following questions? 14. √12321 = ?
1. 7 2 of 189 + 452 = 2000 - ? (a) 111 (b) 121 (c) 81
7
(d) 91 (e) None of these
(a) 183 (b) 164 (c) 170
15. 72% of 654 – 41% of 312 = ?
(d) 198 (e) None of these
(a) 276.60 (b) 296.72 (c) 336.84
2. 68% of 595 – 43% of 372 = ?
(d) 342.96 (e) None of these
(a) 244.64 (b) 232.84 (c) 278.44
16. 2376 ÷ 32 = ?
(d) 260.24 (e) None of these
(a) 74.25 (b) 67 (c) 64.5
3. 35% of (?) = 2175.95
(d) 0.69 (e) None of these
(a) 6712 (b) 6217 (c) 6127
17. 67539 + 43908 = ? + 78902
(d) 6721 (e) None of these
(a) 30125 (b) 31265 (c) 32455
4. (45)2 + (21)2 = (?)2 + 257
(d) 33555 (e) None of these
(a) 51 (b) 49 (c) 45
18. 2520 ÷ 14 ÷ 9 = ?
(d) 47 (e) None of these
(a) 22 (b) 18 (c) 20
5. 90780 ÷ √? = 85 × 12
(d) 16 (e) None of these
(a) 89 (b) 7921 (c) 7569
19. 3.2% of 250 + 1.8% of 400 = ?
(d) 87 (e) None of these
15 ×11+45 (a) 14.8 (b) 15.75 (c) 14.75
6. =?
13 ×9−30 (d) 15.2 (e) None of these
(a) 21 (b) 27 (c) 5 3
20. 2.28 × 12.5 – 6.5 × 2.4 =
5 5 10
(d) 3 8
(e) None of these (a) 16.4 (b) 16.2 (c) 15.6
17 (d) 12.9 (e) None of these
7. 39852 ÷ √? = 81 × 12
21. √? + 172 = 335
(a) 41 (b) 1849 (c) 1681
(a) 46 (b) 42 (c) 1764
(d) 43 (e) None of these
(d) 2116 (e) None of these
8. 54679 + 34521 = ? + 43668
22. 125% of 560 + 22% of 450 = ?
(a) 45352 (b) 45232 (c) 42455
(a) 799 (b) 700 (c) 782
(d) 45552 (e) None of these
(d) 749 (e) None of these
9. 44% of 766 + ? = 900
23. 666.06 + 66.60 + 0.66 + 6.06 + 6 + 60 = ?
(a) 498.48 (b) 562.96 (c) 574.80
(a) 819.56 (b) 805.38 (c) 826.44
(d) 444.64 (e) None of these
(d) 6.607 (e) None of these
10. 3.3 + 13.33 + 31.13 + 13.31 + 1.3 = ?
24. 15.594 – 4.312 – 3.517 – 1.689 = ?
(a) 64.31 (b) 62.37 (c) 64.47
(a) 6.706 (b) 6.760 (c) 6.670
(d) 62.17 (e) None of these
(d) 6.607 (e) None of these
11. (16)2 + (21)2 – (13)2 + ? = (25)2
25. 205 × ? × 13 = 33625 + 25005
(a) 67 (b) 32 (c) 81
(a) 22 (b) 27 (c) 33
(d) 97 (e) None of these
(d) 39 (e) None of these
12. 73% of 5800 – 69% of 240 = ?
26. 69 ÷ 3 × 0.85 + 14.5 – 3 = ?
(a) 4608.3 (b) 4210.8 (c) 4008.4
(a) 36.45 (b) 23.85 (c) 42.95
(d) 4680.4 (e) None of these
(d) 18.65 (e) None of these
Chennai: #1, South Usman Road, T Nagar. Chennai. Mob:
2
Madurai: #24/21, Near Mapillai Vinayagar Theatre, Kalavasal. M: 7695814311
Official Website: www.RACEInstitute.in | Facebook Page: www.facebook.com/RACE.Rapidacademy

, R.A.C.E
Rapid Academy of Competitive Exams
27. (10)24 × (10)-21 = ? (a) 576 (b) 676 (c) 26
(a) 3 (b) 10 (c) 100 (d) 28 (e) None of these
(d) 1000 (e) None of these 42. 12.6 × 10.2 × 6.5 = ?
28. 3√10648 × 3√5832 = ? (a) 555.68 (b) 675.58 (c) 755.48
(a) 396 (b) 216 (c) 432 (d) 835.38 (e) None of these
(d) 576 (e) None of these 43. 28677 ÷ √? = 79 × 11
29. 4.5 + 23.50 + 14.58 – 17.68 × 0.5 = ? (a) 33 (b) 1225 (c) 1089
(a) 33.74 (b) 21.29 (c) 35.06 (d) 35 (e) None of these
(d) 24.48 (e) None of these 44. 12540 ÷ 55 ÷ 6 = ?
30. √7744 ×66
=? (a) 32 (b) 38 (c) 46
203+149 (d) 44 (e) None of these
(a) 15 (b) 18.5 (c) 20 1 2 1
45. 2 + 3 - 1 = ?
(d) 16.5 (e) None of these
5 5 3
31. 87146 – 66425 – 15693 = ? (a) 4 4 (b) 4 1 (c) 4 2
15 4 3
(a) 5038 (b) 5028 (c) 5040 (d) 4
1
(e) None of these
(d) 5015 (e) None of these 5
46. 1221 + 1117 = ? % 6680
32. (786 × 74) ÷ ? = 1211.75
(a) 31 (b) 24 (c) 35
(a) 42 (b) 36 (c) 56
(d) 18 (e) None of these
(d) 54 (e) None of these
47. 3 of 4 of 7 of 738 = ?
33. of 504 + 3 of 640 = ?
5 8 7 9
9 8 (a) 123 (b) 132 (c) 142
(a) 520 (b) 480 (c) 460
(d) 143 (e) None of these
(d) 540 (e) None of these
48. 135% of 480 +9 ?% of 320 = 728
34. 23.56 + 134.44 + 4142.25 = ?
(a) 25 (b) 28 (c) 125
(a) 4302.25 (b) 4300.75 (c) 4301.25
(d) 4300.25 (e) None of these (d) 115
36 90
(e) None of these
49. =
35. 35% of 430 + ? % of 360 = 276.5
? 195

(a) 30 (b) 25 (c) 45 (a) 76 (b) 72 (c) 78
(d) 15 (e) None of these (d) 84 (e) None of these
5 3
36. of 567 + of 485 = ? 50 323.001 × 15 + ? = 5000.015
9 5 (a) 145.014 (b) 155 (c) 145
(a) 24 (b) 606 (c) 480
(d) 155.014 (e) None of these
(d) 600 (e) None of these
51. 178 ÷ 5 ÷ 0.5 = ?
37. 140% of 450 + 24% of 650 = ?
(a) 786 (b) 474 (c) 800 (a) 15.6 (b) 71.2 (c) 17.8
(d) 20.4 (e) None of these
(d) 488 (e) None of these
52. If (11)3 is subtracted from the square of a
38. 10% of 411.2 = ?
number, the answer so obtained is 7930. What is
(a) 411.2 (b) 41.12 (c) 64.25
the number?
(d) 421.25 (e) None of these
(a) 36 (b) 28 (c) 21
39. 1.05% of 2500 + 2.5% of 440 = ?
(a) 37.50 (b) 37.25 (c) 370.25 (d) 48 (e) None of these
53. If (78)2 is subtracted from the square of the
(d) 372.50 (e) None of these
number, the answer so obtained is 6460. What is
40. 4900 ÷ 28 × 444 ÷ 12 = ?
the number?
(a) 6575 (b) 6475 (c) 6455
(a) 109 (b) 111 (c) 113
(d) 6745 (e) None of these
(d) 115 (e) None of these
41. 182 + √? = 350
Trichy: opp BSNL office, Juman Center, 43 Promenade Road, Cantonment. Mob: 9360703030
3
Salem: #209, Muthu Plaza, Junction Main Rd, State Bank Colony, Salem. Mob: 7305958080
Coimbatore:#545, First Floor, Diwan Bahadur Road, RS Puram. Mob:

, R.A.C.E
Rapid Academy of Competitive Exams
54.
18 ×14+46
=? (d) 498 (e) None of these
16 ×10−23 66. 16.45 × 2.8 + 4.5 × 1.6 = ?
(a) 11 (b) 2 24 (c) 4 37
2
32
137 138 (a) 56.23 (b) 56.32 (c) 53.26
(d) 3 (e) None of these (d) 53.66 (e) None of these
173
55. Which number should replace both question 67. 45% of 660 + 28% of 450 = ?
marks in the following equation? (a) 413 (b) 428 (c) 423
?
=
97
(d) 418 (e) None of these
388 ? 2
(a) 222 (b) 196 (c) 206 68. 22 + √? = 516
(d) 178 (e) None of these (a) 1028 (b) 1024 (c) 1124
56. 5760 ÷ 45 × 15 = ? (d) 1128 (e) None of these
(a) 1890 (b) 1828 (c) 1820 69. 420 ÷ 28 × 288 ÷ 32 = ?
(d) 1928 (e) None of these (a) 235 (b) 236 (c) 138
57. 222 + √? = 529 (d) 132 (e) None of these
70. 5616 ÷ 18 ÷ 8 = ?
(a) 45 (b) 2045 (c) 2025
(a) 36 (b) 76 (c) 49
(d) 48 (e) None of these
2 (d) 39 (e) None of these
17 ×4+4 ×2
58. =?
90 ÷5 ×12 71. 2.8 + 28.8 + 2.88 + 0.2 + 0.28 = ?
25 22 11
(a) (b) (c) (a) 44.96 (b) 33.96 (c) 43.96
54 57 27
(d)
13
(e) None of these (d) 34.96 (e) None of these
27 72. 93 + 26 × 3 – 51 = ?
59. 78.9 ÷ (343)1.7 × (49)4.8 = 7?
(a) 201 (b) 102 (c) 120
(a) 13.4 (b) 12.8 (c) 11.4
(d) 210 (e) None of these
(d) 9.6 (e) None of these
4 73. (47)2 – (15)2 = ?
60. 3√512 ÷ √16 + √576 = ?
(a) 1894 (b) 1849 (c) 1948
(a) 24 (b) 31 (c) 22
(d) 1984 (e) None of these
(d) 18 (e) None of these 34 ×4−12 ×8
74. =?
61. 199 + 5 ÷ 4 × 4 2 = ?
3
62+ √196+ (11)2
(a) 969 (b) 655 (c) 966 (a) 40 (b) 36 (c) 14
121 171 171
(d) 799 (e) None of these (d)
22
(e) None of these
62. If (58)2 is added to the square of a number, 171
75. √? + 152 = 235
the answer so obtained is 5668. What is the
(a) 10 (b) 121 (c) 144
number?
(d) 100 (e) None of these
(a) 56 (b) 33 (c) 47
76. 2.03% of 1400 + 4.2% of 450 = ?
(d) 51 (e) None of these
(a) 18.09 (b) 10.33 (c) 24.42
63. Which number should replace both the
(d) 46.51 (e) None of these
question marks (?) in the following equation?
? 47 77. 83% of 2350 = ?
=
188 ? (a) 1509.5 (b) 1950.5 (c) 1905.5
(a) 88 (b) 124 (c) 66 (d) 1590.5 (e) None of these
(d) 94 (e) None of these 78. √8281 = ?
4 3 2
64. of of of 294 = ? (a) 89 (b) 97 (c) 93
9 8 7
(a) 24 (b) 14 (c) 16 (d) 91 (e) None of these
(d) 22 (e) None of these 79. (63)2 – (12)2 = ?
65. 16% of 250 + 115% of 480 = ? (a) 3528 (b) 3852 (c) 3582
(a) 522 (b) 588 (c) 582 (d) 3825 (e) None of these
Chennai: #1, South Usman Road, T Nagar. Chennai. Mob:
4
Madurai: #24/21, Near Mapillai Vinayagar Theatre, Kalavasal. M: 7695814311
Official Website: www.RACEInstitute.in | Facebook Page: www.facebook.com/RACE.Rapidacademy

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