Number Series Workbook V-1

Transcription

1 Direction (1-5) : What value should come in place of question mark (?) in the following number series? 1. 22, 42, 64, 88,? , 61, 299, 1189,? , 19, 163, 63,? , 80, 120, 300,? , 5, 8, 15,? , 27, 0, 64,?, Other than the given options , 62, 32,?, 9.5, Other than the given options 8. 49, 216, 625, 1024, 729,? Other than the given options 9. 71,?, 868, 4345, Other than the given options 10. 1, 12, 144, 1728,? Page 1

2 Other than the given options Directions (11-15): What should come in place of the question mark (?) in the following number series? 11. 8, 4.5, 5.5, 13, 56,? a) 566 b) 496 c) 596 d) 450 e) , 16, 44, 107,? a) 108 b) 156 c) 215 d) 151 e) , 14, 23, 50,? a) 111 b) 121 c) 151 d) 131 e) , 25, 42,71, 113,? a) 169 b) 153 c) 186 d) 196 e) , 35, 30, 44, 39,? a) 59 b) 53 c) 55 d) 45 e) 46 Directions (16-20): What should come in place of the question mark (?) in the following number series? 16. 7, 14, 30, 56, 93,? a) 142 b) 403 c) 124 d) 96 e) , 39, 32, 48, 41,? a) 58 b) 57 c) 59 d) 48 e) , 13, 20, 48, 111,? a) 237 b) 125 c) 273 d) 255 e) , 17, 33, 97,?, Page 2

3 a) 259 b) 563 c) 535 d) 455 e) , 3.5, 4.5, 11, 48,? a) 96 b) 56 c) 392 d) 192 e) 292 Directions (21-25): What should come in place of the question mark (?) in the following number series? 21. 6, 16, 45,184, 917,? a) 5056 b) 5506 c) 5006 d) 5060 e) , 20, 38, 74,? a) 85 b) 96 c) 100 d) 136 e) , 21, 38, 65, 101,? a) 150 b) 120 c) 125 d) 145 e) , 28, 19, 35, 10,? a) 45 b) 44 c) 46 d) 42 e) , 6, 4, 4, 8,? a) 32 b) 8 c) 4 d) 16 e) 14 Directions (26-30): What should come in place of the question mark (?) in the following number series? , 25, 47, 91,?, 355 a) 100 b) 197 c) 179 d) 335 e) , 24, 44, 70, 101,? a) 136 b) 102 c) 80 d) 102 e) Page 3

4 28. 18, 8, 6, 8, 24,? a) 6 b) 48 c) 24 d) 176 e) , 32, 23, 39, 14,? a) 30 b) 50 c) 55 d) 6 e) , 12, 33, 136, 675,? a) 5569 b) 4426 c) 5046 d) 4065 e) 4056 Directions (31-33): Complete the following series , 4, 12, 4, 240,? a) 960 b) 1440 c) 1080 d) 1920 e) None of these 32. 2, 5, 9, 19, 37,? a) 76 b) 74 c) 75 d) 73 e) None of these 33. 4, -8, 16, -32, 64,? a) 128 b) -128 c) 192 d) -192 e) None of these Directions (34-3 5): Find the wrong term in the following given series , 9, 28, 65, 126, 216, 344 a) 2 b) 28 c) 65 d) 126 e) , 26, 74, 218, 654, 1946, 5834 a) 26 b) 74 c) 218 d) 654 e) 1946 Directions (36-40): What will come in place of question mark (?) in the following number series? , 58.66, 56.46, 52.06,?, a) b) c) d) Page 4

5 e) None of these , 157, 301, 470,?, 891 a) 646 b) 695 c) 639 d) 669 e) None of these , 70, 350,?, 8750, a) 1570 b) 875 c) 1750 d) 785 e) None of these , 13, 65, 585, 7605, ,? a) b) c) d) e) , 16, 81, 256, 625, 1296,? a) 4096 b) 2401 c) 1764 d) 3136 e) 6561 Directions (41-45): What will come in place of question mark (?) in the following number series? a) b) 1227 c) 2058 d) 2401 e) None of these , 20, 39, 78, 145, (?) a) 234 b) 244 c) 236 d) 248 e) None of these , 35, 81, 173, 357, (?) a) 725 b) 715 c) 726 d) 736 e) None of these 44. 3, 100, 297, 594, 991, (?) a) 1489 b) 1479 c) 1478 d) 1498 e) None of these , 119, 140, 175, 224, (?) a) 277 b) 276 c) 287 d) 266 e) None of these 41. 1, 7, 49, 343, (?) Page 5

6 Directions (46-50): In the following number series b) 394 only one number is wrong. Find out the wrong c) 399 number. d) 431 e) , 20.6, 16, 22.9, 13.7, 2.2, 11.4 a) 25.2 Directions (51-55): What should come in place of the b) 18.3 question mark (?) in the following number series? c) 13.7 d) , 102, 70, 46, 26,? e) 20.6 a) 16 b) , 5, 6, 10.5, 23, 61, 183 c) 10 a) 183 d) 2 b) 10.5 e) 4 c) 61 d) , 14, 28, 52, 134,? e) 9 a) 302 b) , 154, 140, 132,128, 126, 125 c) 300 a) 125 d) 304 b) 154 e) 208 c) 132 d) , 900, 90, 6,?, e) 188 a) 0.3 b) , 4, 11, 37, 151, 771, 4633 c) 3.33 a) 11 d) 0.33 b) 4633 e) 3.3 c) 771 d) , 11, 10, 14, 27,? e) 2 a) 66 b) , 394, 399, 411, 431, 461, 503 c) 68 a) 503 d) Page 6

7 e) , 7, 12, 33, 128,? a) 528 b) 365 c) 653 d) 825 e) 635 Directions (56-60): What should come in place of the question mark (?) in the following number series? 56. 7, 5, 7,17, 63? a) 308 b) 302 c) 309 d) 409 e) ,?, 61, 89, 154, 280 a) 52 b) 51 c) 60 d) 62 e) , 19, 25, 37,?, 87 a) 47 b) 37 c) 57 d) 67 e) , 14,19, 28, 43,? a) 55 b) 44 c) 77 d) 88 e) , 144, 590, 1164,? a) 1296 b) 1182 c) 2059 d) 1182 e) 1181 Direction ( 61-65) Find the wrong number in the following series ,,326, 2946,29418, , 1089, 1725, 2443, 3284, , 3080, 2958, 2876, Page 7

8 , 1222, 614, 312,163, 90, , 1322, 1452, 1674, 2024, Direction (66-70) Find the missing number in the given series ? ? ? ? ? , 8, 14, 24, 34, 48,? a. 66 b. 62 c. 58 d , 2, 3, 2, 4, 5, 4, 5,? Page 8

9 a. 9 b. 6 c. 10 d , 115, 92, 69, 46,? a. 9 b. 18 c. 21 d , 8, 13, 24, 41,? a. 65 b. 75 c. 70 d , 2, 8, 16, 128,? a. 562 b c d , 4, 4, 8, 16, 16, 256,? a. 64 b. 36 c. 180 d , 115, 71, 44, 27,? a. 19 b. 17 c. 13 d , 2, 3, 5, 8,? a. 11 b. 13 c. 15 d , 64, 32, 16,?, 4 a. 10 b. 8 c. 6 Page 9 d. 12

10 d , 1, 2, 8, 64,?, a b c d , 2, 2, 5, 3, 10,? a. 8 b. 4 c. 7 d , 2, 4, 8, 16, 32,? a. 48 b. 56 c. 64 d , -8, 14, -22, 32,? a. -44 b. 42 c. -42 d , 50, 45, 450, 445,?, 4445 a b c d Answer: 1. 4; The series is 3² + 13 = 22,4² + 26 = 42, 5² + 39= 64,6² +52 = 88? = 7² + 65 = , 5, 81, 15, 27, 45, 9,? a ; The series is b. 15 c Page 10

11 4. 1; The series is 3. 2; The series is 5. 3; The series is 6. 5; The series is 7. 3; The series is Page 11

12 8. 1; The series is 9. 4; The series is 10. 3; The series is 11. e) x = x = x = 13 Page 12

13 13 x = x = c) d) = = = = = = = = a) b) = 35 Page 13

14 35 5 = = = = a) b) a) ( ) = = (2 3-1) = = ( ) = = (4 3-1) = = ( ) = = Page 14

15 19. e) c) x = x = x = x = x = b) x = x 3-3 = x = x 5-5 = x 6-6 = e) = = = = d) = = 38 (17 = 6+11) = 65 (27 = 17+10) = 101 (36 = ) = 145 (44 = ) 24. c) = = = 28-9 = = = = = = = a) x 1-8 = 6 Page 15

16 6 x 2-8 = 4 4 x 3-8 = 4 4 x 4-8 = 8 8 x 5-8 = b) 50 28, 32, 23, 39, 14,? 26. c) , 25, 47, 91,?, x 2-3 = x 2-3 = x 2-3 = x 2-3 = a) , 24, 44, 70, 101,? 30. e) , 12, 33, 136, 675,? 5 x = x 3-3 = x = x 5-5 = x = a) 2, 4, 12, 48, 240,. The pattern is: to arrive at a term, the previous term is being multiplied by (n+1) where n keeps on increasing by 1 for every term. 28. d) , 8, 6, 8, 24,? 18 x = 8 8 x 1-2 = 6 6 x 2-4 = 8 8 x 4-8 = x 8-16 = = 2 (2 + 0) 12 = 4 (2 + 1) 48 = 12 (2 + 2) 240 = 48 (2 + 3) Next term = 240 (2 + 4) = = Page 16

17 2. c) 2, 5, 9, 19, 37,.. The pattern is: every number is arrived at previous number multiplied by 2 and then alternate addition and subtraction by 1 i.e. 2 5= = = = the next term = b) 4, -8, 16, -32, 64,. The pattern is: Every number is arrived at by multiplying previous alternate number with 4 as shown below: 4 x 4 = 16-8 x 4 = x 4 = x 4 = -128 Hence, -128 is the correct answer. 34. e) 2, 9, 28, 65, 126, 216, 344. The pattern in the series is that the series is triangular as shown below: difference become equal. In the figure above there was an error & we have corrected it. 35. d) 10, 26, 74, 218, 654, 1946, 5834 The pattern is: to arrive at next term, the previous is multiplied by 3 and subtracted by 4: = = = = = = 5834 Here, 654 was wrong. 36. d) The series is - 1.1, - 2.2, - 4.4, - 8.8, e) The series is: , , , , c) The series is: x5, x5, x5 39. d) The series is: x1, x5, x9, x13, x17, x b) The series is: 1 4, 2 4, 3 2, 4 2, 5 4, 6 4, 7 4 (= 2401) In the triangular series, the difference between consecutive terms is written below the numbers and then, difference between consecutive differences is written below & this process carries on until all the 41. d.) x 7 = 7 7x 7 = x 7 = x 7 = Page 17

18 42. d) , , , , a) 725 difference x e) none +97, ,+397, = c) x1, +7x3, +7x5, +7x7, +7x9 46. a) = = = = = = = = = = = d) x = 4 4 x = x = x = x = x = b) = = = = = = b) c) 61 9 x = 5 5 x = 6 6 x = x = x = x = e) = d) Page 18

19 10 x 3-2= x 4-4= x 5-6= x 6-8= x 2 3 = 7 7 x 3 4 = x 4 5 = x 5 6 = a) /5 = /10 = 90 90/15 = 6 6/20 = /25 = d) x (1/2) 1 = x (2/2) 1 = x (3/2) 1 = x (4/2) 1 = x (5/2) 1 = e) x 1 1 = 7 7 x 2 2 = x 3 3 = x 4 4 = x 5 5 = c) x 1 2 = a) (1³+1) = (2³+1)= (3³+1)=89 89+(4³+1)= (5³+1) = c) x 2 = x 3 = x 4 = x 5 = x 6 = e) Answer 43+23= b) x 6 12 = x = x 2 16 = x = Page 19

20 x 8+6= x 9+7= x 10+8= x 11+9= the difference between numbers is +(3³+3), +(4³+4), +(5³+5), +(6³+6), +(7³+7), +(8³+8) the difference between numbers is +23²,+25², +27², /2.5= ² /2.5= /2.5= /2.5= /2.5=20 the difference between numbers is -(13²+1), -(11²+1), - (9²+1), -(7²+1), -(5²+1) the difference between numbers is x 1+6, x 2-12, x ,x 4-24,x 5+30, x /2 + 1 = /2 + 3= /2 + 5 = 312 the difference between numbers is +23, +46, +92, 312/2 + 7 = , +368, /2 + 9 = / = the difference between numbers is +1³+0, +2³+5,+3³+10, +4³+15, +5³+20,+6³ the difference between numbers is +2³-2² +3³-3² +4³-4² +5³-5² +6³-6² +7³-7² 71. (b): The sequence in the series is: Page 20

21 The difference increases by 4 at alternate step. 72. (a): In this series three numbers from a set. The first two numbers of each set are in natural order and the third number is the sum of first and second numbers. The first number of the next set begins with double the first number of the previous set. 73. (c): The sequence in the series is (number + next number ) + addition of natural number increasing by 1 at each step, after beginning from 2. Page 21

22 74. (d): There are two alternate series: Series I : 2,4,16,256 (next number is the square of precious numbers) Series II : 4,8,16,32 (number is multiplied by 2 to get the next number) 75. (b): The numbers in the series are sum of two numbers preceding them. 76. (d): The numbers in the series are decreasing by (d): The number in the series is product of two numbers preceding it. Page 22

23 78. (b): The sequence in the series is that the number subtracted from its previous number gives the next number. 79. (b): The numbers in the series are divided by 2 at each step. 80. (a): The sequence in the series is 1, 2, 4, 8, 16, Page 23

24 81. (c): The numbers in the series are double the previous number. 82. (a): The sequence in the series is 10,-5, which is repeated. 83. (c): There are two alternate series: 84. (b): There are two alternate series: Series I: 1,2,3,4 (numbers are increasing in natural order) Series II: 2,5,10 (third number is product of previous two numbers) 85. (a) Alternative numbers are marked positive and negative, but the difference between their magnitude increases by 2 at each step. Page 24