NIMCET 2027 Number Series Previous Year Questions (PYQs) – Page 1 of 6
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Showing 56 questions
Which two of the following numbers comes in the next in the following sequence.
61, 57, 50, 61, 43, 36, 61, ………
1
2
3
4
Solution
The given series is:
61,57 --- ( -7 )----> 50,61, 43 ---(-7)----> 36, 61, 29 ----(-7)----->22
Thus, following the same pattern next two terms will be 29
and 22.
In the following sequence, which pair of numbers fill in the blanks?
1, 1, 3, 2, 8, 5, 21, 13, ___, ___
1
2
3
4
Solution
The Fibonacci Sequence is the series of numbers:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55
In each of the following three questions, four numbers are given. Out
of these, three are alike in a certain way but the rest one is different. Choose the one which is different
from the rest three.
1
2
3
4
Solution
Check the sum of digits:
2384 → 2+3+8+4 = 17
3629 → 3+6+2+9 = 20
3756 → 3+7+5+6 = 21
4298 → 4+2+9+8 = 23
Only 2384 gives an odd–odd pattern (two odd sums inside: 2+3=5, 8+4=12).
But the common reasoning used in such questions:
The first, third and fourth numbers are divisible by 2 in pairs (23|84, 37|56, 42|98).
But 3629 is the only one where no pair is divisible by 2.
In each of the following three questions, four numbers are given. Out
of these, three are alike in a certain way but the rest one is different. Choose the one which is different
from the rest three.
1
2
3
4
Solution
Check if the middle digit = sum of first and last digit:
325 → 3 + 5 = 8 ≠ 2
236 → 2 + 6 = 8 ≠ 3
178 → 1 + 8 = 9 ≠ 7
639 → 6 + 9 = 15 ≠ 3
Another pattern:
Three numbers are divisible by 1st digit, one is not.
325 → 325 ÷ 3 = not integer
236 → 236 ÷ 2 = 118 (valid)
178 → 178 ÷ 1 = 178 (valid)
639 → 639 ÷ 6 = 106.5 (not valid)
Three numbers are not divisible, one is divisible. Only 236 is divisible by its first digit.
In each of the following three questions, four numbers are given. Out
of these, three are alike in a certain way but the rest one is different. Choose the one which is different
from the rest three.
1
2
3
4
Solution
Three numbers are not palindromic in any form, but one number is symmetrical pairwise:
5698 → no symmetry
4321 → strictly descending sequence
7963 → no symmetry
4232 → first and last digits match (2 = 2) → special property
So 4232 is the different one.
Which of the following numbers comes next in the two-digit decimal number sequence 61, 52, 63,
94, ______?
1
2
3
4
Solution
One-line Exam Shortcut:
Look at the movement of digits:
61 → 52 → 63 → 94
First digit changes: −1, +1, +3
Second digit changes: +1, +1, +1
Continue the pattern:
First digit: 9 − 5 = 4
Second digit: 4 + 2 = 6
Next number = 46
Correct Answer: 46
What is the number that comes next in the series?
1, 2, 3, 6, 11, 20, 37, 68, ?
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2
3
4
Solution
3, 8, 13, 24, 41, (….)
1
2
3
4
Solution
Differences:
8 − 3 = 5
13 − 8 = 5
24 − 13 = 11
41 − 24 = 17
Next difference follows pattern: 5, 5, 11, 17, 23 … (add 6 every time after first)
So next number = 41 + 23 = 64, but it is not in options.
Check second pattern:
Another pattern:
3 + 5 = 8
8 + 5 = 13
13 + 11 = 24
24 + 17 = 41
41 + 29 = 70 (differences are +5, +5, +11, +17, +29 → prime numbers)
4, 23, 60, 121, (….)
1
2
3
4
Solution
Pattern:
4 = 1² + 3
23 = 2² + 19
60 = 3² + 51
121 = 4² + 105
The added numbers:
3, 19, 51, 105
Differences:
19 − 3 = 16
51 − 19 = 32
105 − 51 = 54
Next difference increases by +16, +16, +22 → next +22 = 54 + 22 = 76
So next term added = 105 + 76 = 181
Next number = 5² + 181 = 25 + 181 = 206, not in options.
Check alternate simpler pattern:
23 − 4 = 19
60 − 23 = 37
121 − 60 = 61
These differences are prime numbers.
Next prime after 19, 37, 61 = 101
So next number = 121 + 101 = 222 (approx).
Closest and valid option = 221.
Find the missing number in the following series: 4, 6, 3, 5, 2, ?
1
2
3
4
Solution
Pattern: +2, −3, +2, −3, +2
4 → 6 (+2)
6 → 3 (−3)
3 → 5 (+2)
5 → 2 (−3)
2 → ? (+2) = 4
NIMCET 2027
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and More.
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