Choose the number which is different from others in the group.
1321
Finding the Different Number in the Group
The question asks us to identify the number that is different from the others in the given group of numbers: 27, 125, 343, and 1321.
To find the different number, we need to look for a pattern or property that applies to most of the numbers but not all of them. Let's examine each number:
- 27: This number can be obtained by cubing an integer. $27 = 3 \times 3 \times 3 = 3^3$. So, 27 is a perfect cube.
- 125: This number can also be obtained by cubing an integer. $125 = 5 \times 5 \times 5 = 5^3$. So, 125 is a perfect cube.
- 343: Let's check if this is a perfect cube. $343 = 7 \times 7 \times 7 = 7^3$. Yes, 343 is a perfect cube.
- 1321: Let's check if this number is a perfect cube. We know $10^3 = 1000$ and $11^3 = 1331$. Since 1321 is between 1000 and 1331, its cube root would be between 10 and 11, which is not an integer. Therefore, 1321 is not a perfect cube.
Based on this analysis, we can see a pattern: the numbers 27, 125, and 343 are all perfect cubes of integers (3, 5, and 7 respectively). The number 1321, however, is not a perfect cube.
Therefore, the number 1321 is different from the others in the group because it does not share the property of being a perfect cube.
Important Questions from Classification
In the following question, four number pairs are given. In each pair the number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three pairs are similar on basis of same Logic/Rule/Relation.
Select the odd one out from the given alternatives. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g.13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter cluster.)Three of the following numbers are alike in a certain way and one is different. Pick the odd one out.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
The following contains two pairs of words which are related to each other in a certain way. Three of the following four word-pairs are alike as these have the same relationship and thus form a group. Which word-pair does NOT belong to that group?
(The words must be considered as meaningful English words and must not be grouped based on the number of letters/number of consonants/vowels in the word)Three of the following four options are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
