Directions: Pick the correct options from below. 16/2, 36/2,? , 100/2, 144/2
64/2
This is a number-series problem where every term shares the same denominator, so the pattern must live in the numerators.
Writing out the numerators gives 16, 36, ?, 100, 144, all over a common denominator of 2.
Each visible numerator is a perfect square: \(4^2 = 16\), \(6^2 = 36\), \(10^2 = 100\) and \(12^2 = 144\).
The bases 4, 6, 10, 12 are even numbers, and the sequence of bases is 4, 6, 8, 10, 12 — so the missing base is the even number 8.
Therefore the missing numerator is \(8^2 = 64\).
Restoring the common denominator, the missing term is \(64/2\).
The key concept is recognising squares of consecutive even numbers hidden behind a fixed denominator. Hence the answer is 64/2.
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.
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, ?
What will come in place of the question mark (?) in the following number series?
34, 55, 89, 144, 233, ?
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.
