Jamia Millia Islamia MCA Number Series Previous Year Questions (PYQs) – Page 1 of 3
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Showing 26 questions
In the following series 50 is wrongly placed.
Which number will come at the place of 50?
5, 16, 50, 158, 481, …
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Solution
Pattern: Multiply by 3 and add 1 → Next term = (Previous × 3) + 1
5 × 3 + 1 = 16
16 × 3 + 1 = 49 ✅ (so 50 is wrong)
49 × 3 + 1 = 148
148 × 3 + 1 = 445 (≈ 481 if pattern distorted).
Next term in the following series is:
122, 197, 290, …
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Solution
Differences between terms:
197 − 122 = 75
290 − 197 = 93
Difference pattern: +18 each step
Next difference = 93 + 18 = 111
Next term = 290 + 111 = 401
In the series $2,,6,,18,,54,,\ldots$ what will be the $8^{\text{th}}$ term?
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Solution
Geometric progression with $a=2,\ r=3$.
$n^{\text{th}}$ term $= a,r^{,n-1} = 2\cdot 3^{,n-1}$.
$8^{\text{th}}$ term $= 2\cdot 3^{7} = 2\cdot 2187 = 4374$.
Numbers: 517, 325, 639, 841, 792.
If 2nd and 3rd digits in each number are interchanged, what will be the first digit of the second highest number?
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Solution
After swapping → 571, 352, 693, 814, 729 → arranged: 352, 571, 693, 729, 814 → 2nd highest = 729 → first digit = 7.
What should come next in the following number series?
$987654321,87654321,7654321$
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Solution
Each term starts from decreasing highest digit; after 7, next sequence starts with 6.
Look at this series: 8, 22, 8, 28, 8, ...
What number should come next?
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Solution
The pattern alternates between $8$ and increasing numbers:
$22, 28, 32, ...$ (each +6).
Hence, the next number after $8$ is $32$.
$\boxed{\text{Answer: (C) 32}}$
Which of the following is next number in the series
1, 3, 6, 11, 18, 29, … ?
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Solution
Differences: 2,3,5,7,11 → primes increasing.
Next +13 → 29+13=42.
$\boxed{42}$
Which of the following is next number in the series
1, 8, 27, 64, 125, … ?
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Solution
Cubes: $1^3,2^3,3^3,4^3,5^3,…$ → next $6^3=216$.
Which of the following is next number in the series
3, 7, 13, 21, 31, … ?
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Solution
Differences: 4,6,8,10 → next +12 → 31+12=43.
Which of the following is next number in the series
1, 2, 6, 42, … ?
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Solution
Pattern: $1×1+1=2$, $2×2+2=6$, $6×7=42$, next $42×43=1806$.
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