Odd Man Out and Series

Odd Man Out and Series

I. Turn odd man out: As the phrase peaks itself. In this type of problems a set of numbers is given in such a way that each one, except one satisfies a aprticular definite property. The one which deos not satisfy that characteristic is to be taken out.

Some important properties are given below

(i) Prime Numbers: Acounting number greater than 1, which is divisible by itself and 1 only called a prime number. e.g. 2,3,5,7,11,13,17,19,23,29,31,37,41, 43,47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 etc.

(ii) Even Numbers: A number divisible by 2, is an even number e.g 2,4,6,8,10 etc.

(iii) Odd Numbers: A number not divisible by 2 is called an odd number

(iv) Perfect square: A counting number whose square root is a counting number, is called a perfect square e.g. 1,4,9,16,25,36,49 etc.

(v) Perfect cube: A counting number whose cube root is a counting number is called a perfect cube, e.g. 1,8,27,64,125 etc..

(vi) Multiples of a number: A number which is divisible by a given number a, is called the multiple of a, e.g. 3,6,9,12 etc are all multiples of 3.

(vii) Numbers in A.p: Some given numbers are said to be in A.P if the difference between two consecutive numbers is same e.g. 13,11,9,7 etc.

(viii) Number in G.p: Some given numbers are in G.P. if the ratio between two consecutive numbers remain the same. e.g 48,12,3 etc

Odd Man series 1

Turn odd man out :

1. 3, 5, 7, 12, 17, 19

2. 10, 14, 16, 18, 21, 24, 26.

3. 3, 5, 9, 11, 14, 17, 21.

4. 1, 4, 9, 16, 23, 25, 36.

5. 6, 9, 15, 21, 24, 28, 30.

6. 41, 43, 47, 53, 61, 71, 73, 81.

7. 16, 25, 36, 72, 144, 196, 225.

8. 10, 25, 45, 54, 60, 75, 80.

9. 1, 4, 9, 16, 20, 36, 49.

10. 8, 27, 64, 100, 125, 216, 343.

11. 1, 5, 14, 30, 50, 55, 91.

12. 385, 462, 572, 396, 427, 671, 264.

13. 835, 734, 642, 751, 853, 981, 532

14. 331, 462, 572, 396, 427, 671, 264.

15. 2, 5, 10, 17, 26, 37, 50, 64.

16. 19, 28, 39, 52, 67, 84, 102.

17. 253, 136, 352, 460, 324, 631, 244.

18. 2, 5, 7, 10, 50, 500, 5000.

19. 4, 5, 7, 10, 1418,25, 32.

solutions
1. Each of the numbers except 12,is a prime number
2. Each of the numbers except 21 is an even number
3. Each of the number except 14 is an odd number
4. Each of the numbers except 23, is a perfect square
5. Each of the numbers except 28, is a multiple of 3.
6. each of the number except 81, is a prime number.
7. Each of the numbers except 72, is a perfect square.
8. Each of the numbers except 54, is a multiple of 5.
9. The pattern is 1 square, 2 sq, 3 sq, 4 sq, 5 sq, 6 sq, 7 sq. But instead of 5 square, it is 20 which is to be turned out.
10. The pattern is 2cube, 3cube, 4cube, 5cube, 6cube, 7cube. But 100 is not a perfect cube.
11. The pattern is (1square), (1sq+2sq), (1sq+2sq+3sq), (1sq+2sq+3sq+4sq), (1sq+2sq+3sq+4sq+5sq), (1sq+2sq+3sq+4sq+5sq+6sq). But 50 is not of this pattern.
12. In each number except 427, the middle digit is sum of the other two.
13. In each except 751, the difference of the third and first digit is the muddle one.
14. In each except 383, the product of first and third and first digit is the middle one.
15. The pattern is Xsquare+1, where X=1, 2, 3, 4, 5, 6, 7, 8 etc. But 64 is out of pattern.
16. The pattern is Xsquare+3, where X=4, 5, 6, 7, 8, 9 etc. But 102 is out of pettern.
17. Sum of the digits in each number, except 324 is 10.
18. Pattern is 1stX2nd=3rd, 2ndX3rd=4th, 3rdX4th=5th.
But 4thX5th= 50x500=25000 =/5000 =6th
19. 2nd= (1st+1), 3rd=(2nd+2), 4th=(3rd+3), 5th=(4th+4). But, 18=6th =/ 5th+5= 14+5=19