In three of the following pairs are same by same pattern except one pair. Which pair does not follow this pattern?
50,125
In this odd-pair problem every valid pair is made of two consecutive perfect cubes, and the single pair that fails this rule is the answer.
Take 8 and 27: \(8 = 2^3\) and \(27 = 3^3\), which are the cubes of the consecutive numbers 2 and 3.
Take 64 and 125: \(64 = 4^3\) and \(125 = 5^3\), the cubes of the consecutive numbers 4 and 5.
Take 216 and 343: \(216 = 6^3\) and \(343 = 7^3\), the cubes of the consecutive numbers 6 and 7.
Now test 50 and 125: although \(125 = 5^3\) is a perfect cube, 50 is not the cube of any whole number, since \(3^3 = 27\) and \(4^3 = 64\) straddle it.
For the pattern to hold, the partner of 125 should have been \(4^3 = 64\), not 50, so this pair alone breaks the consecutive-cubes rule that all the others satisfy.
The concept used is recognising pairs of consecutive perfect cubes, so the pair that does not follow the pattern is 50, 125.
Similar Questions
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)
Directions: Select the correct options from the given alternatives
960,160,32,?
Directions: Pick the correct options from below.
16/2, 36/2,? , 100/2, 144/2
Directions: Pick the correct options from below.
8, 18, 32, 50, ?
Identify the next number in the sequence.
8, 24, 48, 80, 120, ?
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
11, 36, 147, ? , 1779, 5340, 21363
Find the next element that replace the ? Logically
90, 109, 130, 153, ?
Find the next element that replace the ? Logically
30, 41, 54, 69, ?
A series is given with one term wrong. Select the wrong term from the given alternatives.
-913, -916, -924, -937, -955, -975, -1006, -1039
Find the next number.
2, 6, 30, 210, ?
Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
Three of the given options are alike in a certain way. However, one option is not like the other three. Select the option that is different from the rest.
