Wednesday, August 25, 2010

Odd Man Out and Series -2

Find out the wrong number in each sequence
20. 22, 33, 66, 99, 121, 279, 594
21. 36, 54, 18, 27, 9, 18.5, 4.5
22. 582, 605, 588, 611, 634, 617, 600
23. 46080, 3840, 384, 48, 24, 2, 1
24. 1, 8, 27, 64, 124, 216, 343
25. 5, 16, 6, 16, 7, 16, 9
26. 6, 13, 18, 25, 30, 37, 40
27. 56, 72, 90, 110, 132, 150
28. 8, 13, 21, 32, 47, 63, 83
29. 25, 36, 49, 81, 121, 169, 225
30. 1, 2, 6, 15, 31, 56, 91
31. 52, 51, 48, 43, 34, 27, 16
32. 105, 85, 60, 30, 0, -45, -90
33. 4, 6, 8, 9, 10, 11, 12
34. 125, 127, 130, 135, 142, 153, 165
35. 16, 36, 64, 81, 100, 144, 190
36. 125, 123, 120, 115, 108, 100, 84
37. 3, 10, 21, 36, 55, 70, 105
38. 4, 9, 19, 39, 79, 160, 319
39. 10, 14, 28, 32, 64, 68, 132
40. 8, 27, 125, 343, 1331

Solutions
20. Each Number except 279 is a multiple of 11
21. The terms are alternatively multiplied by 1.5 and devided by 3. However 18.5 18.5 does not satisfy it
22. Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.
23. The terms are successively divided by 12, 10, 8, 6,....etc. So, 24 is wrong
24. The nubers are cubes of (1,2,3,4 etc)
25. Terms at odd places are 5, 6, 7, 8 etc and each term at even place is 16. so, 9 is wrong
26. The difference between two successive terms from beginning are 7, 5, 7, 5, 5 .So, 40 is wrong
27. The numbers are 7x8, 8x9, 9x10, 10x11, 11x12, 12x13. So, 150 is wrong
28. Go on adding 5, 8, 11, 14, 17, 20. So number 47 is wrong
29. The numbers are square of odd natural numbers starting from 5 upto 15. So, 36 is wrong
30. Add 1square, 2sq, 3sq, 4sq, 5sq, 6sq. So, 91 is wrong
31. Subract 1,3, 5, 7, 9, 11 from successive numbers. so 34 is wrong
32. Subtract 20, 25, 30, 35, 40, 45 from successive numbers. So 0 is wrong
33. Each number is a composite number except 11
34. Prime numbers 2, 3, 5, 7, 11, 13 are added successively. So, 165 is wrong
35. Each number is the square of a composite number except 150
36. Prime numbers 2, 3, 5, 7, 11, 13 have successively been subtracted. So, 100 is wrong (108-11=97)
37. The pattern is 1x3, 2x5, 3x7, 4x9, 5x11, 6x13, 7x15 etc
38. double the number and add 1 to it, to get the next number. So, 160 is wrong
39. Alternatively, we add 4 and doble the next. So, 132 is wrong. It must be (68x2) i.e is 136
40. The numbers are cubes of primes i.e cubes of (2, 3, 5, 7, 11 ). so none is wrong

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