NIMCET Number Series Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET Number Series PYQ

Qus : 1 NIMCET PYQ

Which two of the following numbers comes in the next in the following sequence.

61, 57, 50, 61, 43, 36, 61, ………

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NIMCET Previous Year PYQ NIMCET NIMCET 2017 PYQ

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.

Qus : 2 NIMCET PYQ

In the following sequence, which pair of numbers fill in the blanks?

1, 1, 3, 2, 8, 5, 21, 13, ___, ___

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NIMCET Previous Year PYQ NIMCET NIMCET 2017 PYQ

Solution

The Fibonacci Sequence is the series of numbers:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Qus : 3 NIMCET PYQ

Which of the following numbers comes next in the two-digit decimal number sequence 61, 52, 63, 94, ______?

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NIMCET Previous Year PYQ NIMCET NIMCET 2015 PYQ

Solution

Qus : 4 NIMCET PYQ

Find the missing number in the series: 4, 7, 25, 10, __________, 20, 16, 19

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NIMCET Previous Year PYQ NIMCET NIMCET 2015 PYQ

Solution

Qus : 5 NIMCET PYQ

Find a number from the given options which best completes the series:

39, 416, 525,…......................., 749, 864

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NIMCET Previous Year PYQ NIMCET NIMCET 2023 PYQ

Solution

Qus : 6 NIMCET PYQ

Find out the wrong number in the following number series:

56, 58, 62, 70, 84, 118, 182

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NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ

Solution

Qus : 7 NIMCET PYQ

Which of the following numbers come next in the series 8, 6, 9, 23, 87, ________?

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NIMCET Previous Year PYQ NIMCET NIMCET 2015 PYQ

Solution

Qus : 8 NIMCET PYQ

Find out the missing number:

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NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ

Solution

Qus : 9 NIMCET PYQ

Which number should come in place of the question mark (?) in the following chart:

1	7	9
2	14	?
3	105	117

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NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ

Solution

Qus : 10 NIMCET PYQ

Identify the next two numbers in the following sequence:

17, 20, 9, 12, 5, 6, 3, 2, ____, ____

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NIMCET Previous Year PYQ NIMCET NIMCET 2023 PYQ

Solution

Sequence Question:

Identify the next two numbers in the sequence:

17, 20, 9, 12, 5, 6, 3, 2, ?, ?

Solution:

Let’s split the sequence into two alternate parts:

Odd-positioned terms: 17, 9, 5, 3 → decreasing by 8, 4, 2
Even-positioned terms: 20, 12, 6, 2 → decreasing by 8, 6, 4

Continue the pattern:

Odd series: 17 → 9 (–8), 9 → 5 (–4), 5 → 3 (–2), so next is 3 – 1 = 2
Even series: 20 → 12 (–8), 12 → 6 (–6), 6 → 2 (–4), so next is 2 – 2 = 0

✅ Final Answer:

2, 0

Qus : 11 NIMCET PYQ

Find the missing number

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NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ

Solution

Above Half:

96 ÷ 2 = 48
48 ÷ 2 = 24

Below Half:

64 ÷ 2 = 32
32 ÷ 2 = 16

Thus, each step divides the number by 2 successively for both the upper and lower halves.

Qus : 12 NIMCET PYQ

Wrong number in the series 7, 8, 18, 57, 228, 1165, 6996

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NIMCET Previous Year PYQ NIMCET NIMCET 2019 PYQ

Solution

The series is

7*1 + 1 = 8

8*2 + 2 = 18

18*3 + 3 = 57

57*4 + 4 = 232

232*5 + 5 = 1165

1165*6 + 6 = 6996

so 228 is wrong

Qus : 13 NIMCET PYQ

If 3 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be the last digit of the middle number after they are arranged in descending order?

589 362 554 371 442

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NIMCET Previous Year PYQ NIMCET NIMCET 2023 PYQ

Solution

Digit Puzzle: Final Digit of the Middle Number

Given Numbers: 589, 362, 554, 371, 442

Step 1: Subtract 3 from the middle digit of each number

589 → 589 → 559 → 559
362 → 362 → 332 → 332
554 → 554 → 524 → 524
371 → 371 → 341 → 341
442 → 442 → 412 → 412

Step 2: Reverse the digits of each new number

559 → 955
332 → 233
524 → 425
341 → 143
412 → 214

Step 3: Arrange in descending order

955, 425, 233, 214, 143

Step 4: Pick the middle number

Middle number = 233

Step 5: Find the last digit

Last digit of 233 = 3

✅ Final Answer: 3

Qus : 14 NIMCET PYQ

Complete the series: 3,10,24,45,73, ____

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NIMCET Previous Year PYQ NIMCET NIMCET 2023 PYQ

Solution

Series: 3, 10, 24, 45, 73, __

Differences:

10−3 = 7
24−10 = 14
45−24 = 21
73−45 = 28

The differences are: 7, 14, 21, 28 → an arithmetic sequence with common difference +7. So the next difference is 35.

Next term: 73 + 35 = 108

Answer: 108

Qus : 15 NIMCET PYQ

If 137+ 276 = 435, how much is 731 + 672 ?

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NIMCET Previous Year PYQ NIMCET NIMCET 2019 PYQ

Solution

Given rule: Add numbers in the base where 137 + 276 = 435 holds.

Find the base \(b\):

\(137_b = 1b^2 + 3b + 7\)
\(276_b = 2b^2 + 7b + 6\)
Sum \(= 3b^2 + 10b + 13\)

\(435_b = 4b^2 + 3b + 5\)

Equate: \(3b^2 + 10b + 13 = 4b^2 + 3b + 5 \;\Rightarrow\; b^2 - 7b - 8 = 0\)

So \(b = 8\) (since base must be > 7). Thus the operations are in base 8 (octal).

Now add in base 8: \(731_8 + 672_8\)

      731₈
    + 672₈
    -------
      (units) 1 + 2 = 3 → write 3
      (eights) 3 + 7 = 10₁₀ = 12₈ → write 2, carry 1
      (sixty-fours) 7 + 6 + 1 = 14₁₀ = 16₈ → write 6, carry 1
      bring down carry → 1
    -------
      1623₈

Answer: \(731 + 672 = \mathbf{1623_8}\) (in base 8).

Qus : 16 NIMCET PYQ

Which pair of numbers comes next in the following series? 42 40 38 35 33 31 28

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NIMCET Previous Year PYQ NIMCET NIMCET 2013 PYQ

Solution

Series: 42, 40, 38, 35, 33, 31, 28, …

Pattern (differences): −2, −2, −3, −2, −2, −3, … (repeats)

After 28: 28 − 2 = 26, then 26 − 2 = 24.

Next pair: 26, 24

Qus : 17 NIMCET PYQ

Identify the fifth number in the series: 122, 144, 166, 188, ?

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NIMCET Previous Year PYQ NIMCET NIMCET 2022 PYQ

Solution

Series: 122, 144, 166, 188, ?

Differences:

144 − 122 = 22
166 − 144 = 22
188 − 166 = 22

The pattern is a constant increase of +22. So the next term is:

188 + 22 = 210

Answer: 210

Qus : 18 NIMCET PYQ

Identify the sixth number in the series:

6, 11, 21, 36, 56, ?

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NIMCET Previous Year PYQ NIMCET NIMCET 2022 PYQ

Solution

Series: 6, 11, 21, 36, 56, ?

Differences

11 − 6 = 5
21 − 11 = 10
36 − 21 = 15
56 − 36 = 20

The differences are +5, +10, +15, +20 (increase by 5 each time). Next difference = +25.

Next term

56 + 25 = 81

Answer: 81

Qus : 19 NIMCET PYQ

The number that comes next in the series 1, 2, 3, 6, 11, 20, 37, 68,...

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NIMCET Previous Year PYQ NIMCET NIMCET 2019 PYQ

Solution

0 + 1 + 2 = 3

1 + 2 + 3 = 6

2 + 3 + 6 = 11

3 + 6 + 11 = 20

6 + 11 + 20 = 37

11 + 20 + 37 = 68

so next number in the sequence would be;20 + 37 + 68 = 125

Qus : 20 NIMCET PYQ

What pair comes next in the following sequence 99, 90, 83, 78, ...

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NIMCET Previous Year PYQ NIMCET NIMCET 2019 PYQ

Solution

Reason: The sequence subtracts consecutive odd numbers decreasing by 2 each step:

99 → 90 : −9
90 → 83 : −7
83 → 78 : −5
78 → 75 : −3 (next odd)
75 → 74 : −1 (next odd)

So after 78, the terms are: 75, 74.

Qus : 21 NIMCET PYQ

Find out the wrong number in the FOLLOWING series.

2, 5, 10, 17, 26, 38, 50, 65

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NIMCET Previous Year PYQ NIMCET NIMCET 2022 PYQ

Solution

Qus : 22 NIMCET PYQ

Find out the wrong number in the FOLLOWING series.

30, −5, −45, −90, −145, −195, −255

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NIMCET Previous Year PYQ NIMCET NIMCET 2022 PYQ

Solution

Qus : 23 NIMCET PYQ

Choose the pair of number that comes next:

1 10 7 20 13 30 19

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NIMCET Previous Year PYQ NIMCET NIMCET 2021 PYQ

Solution

Qus : 24 NIMCET PYQ

The following series is obtained by considering representations of decimal 99 in the different number system. The next two numbers in the sequence are

99, 90, 83, 78, ____, ____

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NIMCET Previous Year PYQ NIMCET NIMCET 2017 PYQ

Solution

Qus : 25 NIMCET PYQ

Find the missing term 7 : 56 : : 9 : ?

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NIMCET Previous Year PYQ NIMCET NIMCET 2021 PYQ

Solution

Qus : 26 NIMCET PYQ

The missing number in the following series 336, 210, 120, 60, ______, 6 is

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NIMCET Previous Year PYQ NIMCET NIMCET 2017 PYQ

Solution

Qus : 27 NIMCET PYQ

What is the next number in each of the following 3 sequences?

8 17 33 67 133 ? (1)

7 23 67 203 607 ? (2)

6 27 105 423 1689 ? (3)

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NIMCET Previous Year PYQ NIMCET NIMCET 2025 PYQ

Solution

(1) 8 → 17 → 33 → 67 → 133 → ?
Pattern: ×2 +1, ×2 −1, ×2 +1, ×2 −1, …
Next: 133×2 + 1 = 267

(2) 7 → 23 → 67 → 203 → 607 → ?
Pattern: ×3 +2, ×3 −2, ×3 +2, ×3 −2, …
Next: 607×3 + 2 = 1823

(3) 6 → 27 → 105 → 423 → 1689 → ?
Pattern: ×4 +3, ×4 −3, ×4 +3, ×4 −3, …
Next: 1689×4 + 3 = 6759

✅ Answers: (1) 267, (2) 1823, (3) 6759

Qus : 28 NIMCET PYQ

Which number replaces the question mark?

3, 6, 18, 72, ?, 432

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NIMCET Previous Year PYQ NIMCET NIMCET 2025 PYQ

Solution

Sequence: 3, 6, 18, 72, ?, 432

Pattern (symmetric multipliers): ×2, ×3, ×4, ×3, ×2
3 → 6 : ×2
6 → 18 : ×3
18 → 72: ×4
72 → ? : ×3 → 72 × 3 = 216
216 → 432: ×2 ✅

✅ Answer: 216

Qus : 29 NIMCET PYQ

What comes next in the sequence?

2, 6, 12, 20, 30,

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NIMCET Previous Year PYQ NIMCET NIMCET 2025 PYQ

Solution

Sequence: 2, 6, 12, 20, 30

Differences: 4, 6, 8, 10
Next difference = 12

Next term = 30 + 12 = 42

Qus : 30 NIMCET PYQ

Insert the missing number 8, 7, 11, 12, 14, 17, 17, 22, ?

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NIMCET Previous Year PYQ NIMCET NIMCET 2021 PYQ

Solution

Qus : 31 NIMCET PYQ

Which of the following pairs of number follow the number in the series 2, 4, 12, 24, 72, _____, _____?

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NIMCET Previous Year PYQ NIMCET NIMCET 2017 PYQ

Solution

2 x 2 = 4

4 x 3 = 12

12 x 2 = 24

24 x 3 = 72

72 x 2 = 144

144 x 3 = 432

Qus : 32 NIMCET PYQ

Which number replaces the question mark?

4, 9, 16, 25, ?, 49

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NIMCET Previous Year PYQ NIMCET NIMCET 2025 PYQ

Solution

2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
Answer = 36

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NIMCET Previous Year Questions (PYQs)

NIMCET Number Series PYQ

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Sequence Question:

Solution:

Continue the pattern:

✅ Final Answer:

Solution

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Solution

Digit Puzzle: Final Digit of the Middle Number

Step 1: Subtract 3 from the middle digit of each number

Step 2: Reverse the digits of each new number

Step 3: Arrange in descending order

Step 4: Pick the middle number

Step 5: Find the last digit

✅ Final Answer: 3

Solution

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