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Number Classification - Choosing The Odd Numeral

Number Classification - Concepts

Number Classification - Choosing The Odd Numeral

Number Classification - Choosing The Odd Numeral Pair

Number Classification

Class - 10th IMO Subjects

Concept Explanation

Number Classification - Choosing The Odd Numeral

In these type of questions, certain numbers are given, out of which all except one share some common property and hence are alike. From the given numbers, one number is different and this number is odd among them and hence is chosen to be the answer.

Example 1 : Find the odd one out of these 51, 144, 64, 121, 256

(a) 51 (b) 144 (c) 64 (d) 121 (e) 256

Answer : (a)

Explanation : as we analyse the items in the group we see that

144 is square of 12,

64 is square of 8,

121 is square of 11,

256 is square of 16

But 51 is not a square of any number hence is the odd one in the group.

Example 2 : Find the odd one out of these 38, 57, 76, 95, 118.

(a) 38 (b) 76 (c) 118 (d) 57

Answer (c)

Explanation : In the given numbers every term is multiple of 19, but only 118 is not multiple of 19.

19X2 = 38

19X3 = 57

19X4 = 76

19X5 = 95

19X6 = 114....soon

So, the odd one is 118.

Example 3 : Identify the odd one out of these 2384, 1592, 3756, 4298, 3629

(a) 2384 (b) 1592 (c) 3756 (d) 4298 (e) 3629

Answer : (e)

Explanation : When we analyse the items we see that

In 2384 we see that the last digit that is 4 is double the first digit 2

In 1592 we see that the last digit that is 2 is double the first digit 1

In 3756 we see that the last digit that is 6 is double the first digit 3

In 4298 we see that the last digit that is 8 is double the first digit 4

But in 3629 we see that the last digit that is 9 is not the double the first digit 3 Hence this number is the odd element.

Example 4 : Identify the odd one out of these 144, 196, 216 ,256, 289.

(a) 144 (b) 196 (c) 216 (d) 256 (e) None of these

Answer : (c)

Explanation : In the given terms every number is the square of number except 216.

$12^{2} = 144$

$14^{2} = 196$

$16^{2} = 256$

$17^{2} = 289$

But, $6^{3} = 216$

So, the odd one is 216.

Example 5 : Identify the odd one out of these 7, 15, 31, 57

(a) 7 (b) 15 (c) 31 (d) 57

Answer : (d)

Explanation : when we analyse the items we see that

7 can be obtained from the formula $7=2^3-1$

15 can be obtained from the formula $15=2^4-1$

31 can be obtained from the formula $31 = 2^{5} - 1 = 32 - 1 = 31$

But 57 can not be obtained from this formula or we can say can not be expressed as a power of 2. Hence,57 is the odd one in the group.

Example 6 : Identify the odd one out of these 1728, 2197, 1024, 2744, 3375

(a) 1728 (b) 2197 (c) 1024 (d) 2744

Answer : (c)

Explanation : In the given terms, all are the cubes of numbers except 1024.

$12^{3} = 1728$

$13^{3} = 2197$

$14^{3} = 2744$

$15^{3} = 3375$

But $32^{2} = 1024$

So, odd one is 1024.

Sample Questions

(More Questions for each concept available in Login)

Question : 1

In each of the following numbers, one number is incorrect. Find out the odd number. A. 100 B. 400 C. 700 D. 900
A. 100	B. 400	C. 700	D. 900
Right Option : C
View Explanation