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
444
In a missing-term series we identify the rule that links each term to the next and then apply it at the gap.
The operations alternate: multiply by 3 and add 3, then multiply by 4 and add 3, repeating in that order.
Check the start: \(11 \times 3 + 3 = 36\), and then \(36 \times 4 + 3 = 147\).
The missing term comes after 147, so it uses the '×3 + 3' step: \(147 \times 3 + 3 = 444\).
Verify forward with '×4 + 3': \(444 \times 4 + 3 = 1779\), which matches the next given term.
Continuing, \(1779 \times 3 + 3 = 5340\) and \(5340 \times 4 + 3 = 21363\), both matching the series.
The consistent verification on both sides confirms the value at the gap.
Hence the missing term is 444.
Similar Questions
What will be the 50th term in the following series?
20, 24, 28, 32, ....
A series is given with one term wrong. Select the wrong term from the given alternatives.
-913, -916, -924, -937, -955, -975, -1006, -1039
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)
Find the next element that replace the ? Logically
990, 1321, 1718, 2187, ?
Directions: Pick the correct options from below.
8, 18, 32, 50, ?
Identify the next number in the sequence.
8, 24, 48, 80, 120, ?
Which of the following numbers would replace the question mark (?) in the given number series?
11, 14, 19, 26, 35, ?
Find the next element that replace the ? Logically
90, 109, 130, 153, ?
Find the next element that replace the ? Logically
30, 41, 54, 69, ?
Find the next element that replace the ? Logically
6, 23, 74, 227, ?
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.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
