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 the 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 number 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)
10 − 110
This is an odd-one-out problem on number pairs: three of the four pairs share one common rule connecting the left number to the right number, and the task is to find the single pair that does not obey that rule, operating on the whole numbers.
Inspecting the pairs, the natural relation to test is squaring, since the right values are close to the squares of the left values.
For 13 − 169 we have \(13^2 = 169\), for 12 − 144 we have \(12^2 = 144\), and for 11 − 121 we have \(11^2 = 121\), so all three follow "right number = square of left number".
For 10 − 110, however, the square would be \(10^2 = 100\), which is not 110, so this pair does not fit the squaring rule that the other three share.
In fact 110 comes from \(10 \times 11\), a product of consecutive numbers rather than a perfect square, which is why it stands apart from the group.
The concept being tested is spotting the single consistent relation across most pairs and identifying the one that deviates from it.
Hence the odd pair is 10 − 110.
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Important Questions from Classification
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?
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(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?
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(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.)
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)
