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Reasonin Rakesh Yadav

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ANSWER KEYS<br />

(Exercise)<br />

1.(b) 1438 1429 1417 1402 1384<br />

–9 –12 –15 –18<br />

2.(d) 2460 3570 4680<br />

+1110<br />

5790<br />

+1110 +1110<br />

3.(a) 7714 7916 8109 8311<br />

+202<br />

+202<br />

2 5 9 19 37 75<br />

4.(b)<br />

×2+1 ×2–1 ×2+1 ×2–1 ×2+1<br />

110 132 156 182 210<br />

5.(c)<br />

+22 +24 +26 +28<br />

6.(a) 12 21 23 32 34 43<br />

+9 +2 +9 +2 +9<br />

7.(c) 3 10 101 10202<br />

×3+1 ×10+1 ×101+1<br />

8.(c)<br />

4117<br />

+1 +1 +1 +1<br />

+21<br />

5138<br />

6159<br />

7170<br />

8191<br />

+21 +21 +21<br />

–1 2 7 14 23 34 47<br />

9.(b)<br />

+3 +5 +7 +9 +11 +13<br />

10.(a)<br />

11.(d)<br />

1. (b)<br />

2. (d)<br />

3. (a)<br />

4. (b)<br />

5. (c)<br />

6. (a)<br />

7. (c)<br />

8. (c)<br />

9. (b)<br />

10. (a)<br />

4 8 12 24 36 72<br />

+4 +4 +12 +12 +36<br />

×3 ×3<br />

118<br />

11. (d)<br />

12. (b)<br />

13. (b)<br />

14. (c)<br />

15. (d)<br />

16. (a)<br />

17. (b)<br />

18. (c)<br />

19. (d)<br />

20. (d)<br />

182 186 222<br />

+64 +4 +36 +4<br />

21. (d)<br />

22. (d)<br />

23. (b)<br />

24. (b)<br />

25. (c)<br />

26. (a)<br />

27. (c)<br />

28. (c)<br />

29. (c)<br />

30. (d)<br />

226<br />

31. (b)<br />

32. (d)<br />

33. (a)<br />

34. (d)<br />

35. (b)<br />

36. (b)<br />

37. (a)<br />

38. (d)<br />

39. (d)<br />

40. (b)<br />

12.(b)<br />

13.(b)<br />

14.(c)<br />

15.(d)<br />

2<br />

7 27 107<br />

427<br />

×4–1 ×4–1 ×4–1 ×4–1<br />

242 393 4164 5255<br />

×<br />

1 2 4 3 9 4<br />

1<br />

16.(a)<br />

+2<br />

(2)²<br />

× × ×<br />

16 5 25 6<br />

(3)² (4)² (5)²<br />

+12 +20 +28<br />

2 3 14 5 34 7 62 9<br />

25<br />

255<br />

+2 +2 +2<br />

36<br />

366<br />

49<br />

479<br />

64<br />

684<br />

891<br />

<strong>Rakesh</strong> <strong>Yadav</strong> Sir<br />

17.(b)<br />

18.(c)<br />

19.(d)<br />

20.(d)<br />

81<br />

(5)² (6)² (7)² (8)² (9)²<br />

+2 +3 +4 +5<br />

2 15 4<br />

41. (d)<br />

42. (b)<br />

43. (b)<br />

44. (b)<br />

45. (b)<br />

46. (a)<br />

47. (c)<br />

48. (a)<br />

49. (a)<br />

50. (b)<br />

47 7<br />

4²–1 7²–2<br />

51. (a)<br />

52. (d)<br />

53. (b)<br />

54. (b)<br />

55. (a)<br />

56. (c)<br />

57. (d)<br />

58. (d)<br />

59. (b)<br />

60. (c)<br />

SOLUTION<br />

118 11<br />

11²–3<br />

252 16<br />

16²–4<br />

313 623 933 1243 1553<br />

+310 +310 +310 +310<br />

(1²×0) (2²×1) (3²×2) (4²×3) (5²×4) 6²×5<br />

0 4 18 48 100 180<br />

8 29 113 449 1793<br />

×4–3 ×4–3 ×4–3 ×4–3<br />

61. (b)<br />

62. (b)<br />

63. (c)<br />

64. (b)<br />

65. (c)<br />

66. (d)<br />

67. (d)<br />

68. (a)<br />

69. (b)<br />

70. (a)<br />

21.(d)<br />

22.(d)<br />

23.(b)<br />

24.(b)<br />

25.(c)<br />

26.(a)<br />

6<br />

–1<br />

5<br />

–1<br />

4<br />

–1<br />

3<br />

3<br />

+1<br />

4<br />

+1<br />

5<br />

+1<br />

6<br />

4 1<br />

–1 +1<br />

3<br />

2<br />

–1 +1<br />

2 3<br />

–1 +1<br />

1 4<br />

56 90 132 184 248<br />

+34 +42<br />

+52 +64 +78<br />

+8 +10 +12 +14<br />

0 4 8 24 64<br />

176<br />

(+)×2 (+)×2 (+)×2 (+)×2 (+)×2<br />

(0 + 2) × 2 = 4<br />

(0 + 4) × 2 = 8<br />

(4 + 8) × 2 = 24<br />

(8 + 24) × 2 = 64<br />

(24 + 64) × 2 = 176<br />

(64 + 176) × 2 = 480<br />

27.(c) 0.01<br />

28.(c)<br />

71. (c)<br />

72. (b)<br />

73. (a)<br />

74. (c)<br />

75. (a)<br />

76. (c)<br />

77. (b)<br />

78. (a)<br />

79. (c)<br />

80. (d)<br />

5 21 69 213 645<br />

×3+6 ×3+6 ×3+6 ×3+6 ×3+6<br />

8 15 36 99 288<br />

326<br />

480<br />

1941<br />

×3–9 ×3–9 ×3–9 ×3–9 ×3–9<br />

6 7 15 46 185<br />

855<br />

×1+1 ×2+1 ×3+1 ×4+1 ×5+1<br />

+.03<br />

0.04 0.09<br />

+.05 +.07<br />

5.7 8.1 10.5 12.9 15.3<br />

+2.4<br />

81. (d)<br />

82. (a)<br />

83. (d)<br />

84. (a)<br />

85. (a)<br />

86. (c)<br />

87. (c)<br />

88. (a)<br />

89. (b)<br />

90. (c)<br />

91. (c)<br />

92. (c)<br />

93. (d)<br />

94. (a)<br />

95. (d)<br />

96. (d)<br />

97. (a)<br />

98. (a)<br />

99. (a)<br />

100.(d)<br />

926<br />

0.16<br />

+2.4 +2.4 +2.4 +2.4<br />

17.7<br />

76 <strong>Rakesh</strong> <strong>Yadav</strong> Readers Publication Pvt. Ltd

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