Qus : 3
Jamia Millia Islamia PYQ
2
In the series $2,,6,,18,,54,,\ldots$ what will be the $8^{\text{th}}$ term?
1
$4370$ 2
$4374$ 3
$7443$ 4
$7434$ Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ
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 $= 2\cdot 3^{7} = 2\cdot 2187 = 4374$.
Qus : 4
Jamia Millia Islamia PYQ
1
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?
1
7
2
8 3
9 4
2 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ
Solution After swapping → 571, 352, 693, 814, 729 → arranged: 352, 571, 693, 729, 814 → 2nd highest = 729 → first digit = 7.
Qus : 7
Jamia Millia Islamia PYQ
4
Which of the following is next number in the series
1, 3, 6, 11, 18, 29, … ?
1
(A) 39 (B) 40 (C) 41 (D) None of these
2
40 3
41 4
None of these Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2017 PYQ
Solution Differences: 2,3,5,7,11 → primes increasing.
Next +13 → 29+13=42.
$\boxed{42}$
Qus : 8
Jamia Millia Islamia PYQ
1
Which of the following is next number in the series
1, 8, 27, 64, 125, … ?
1
2
215 3
210 4
None of these Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2017 PYQ
Solution Cubes: $1^3,2^3,3^3,4^3,5^3,…$ → next $6^3=216$.
Qus : 11
Jamia Millia Islamia PYQ
2
Which term is wrong in the series $1,\,1,\,2,\,4,\,5,\,8,\,13$ ?
1
2nd
2
4th 3
5th 4
3rd Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2017 PYQ
Solution Fibonacci should be $1,1,2,3,5,8,13$. The 4th term should be $3$, not $4$.
Qus : 12
Jamia Millia Islamia PYQ
2
Which term is wrong in the series $2,\,5,\,8,\,12,\,14,\,17,\,20$ ?
1
1st
2
4th 3
5th 4
3rd Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2017 PYQ
Solution Should be arithmetic with $+3$: $2,5,8,11,14,17,20$. So $12$ is wrong.
Qus : 14
Jamia Millia Islamia PYQ
3
Which term is wrong in the series $1,\,4,\,9,\,16,\,21,\,36,\,49$ ?
1
6st
2
4th 3
5th 4
3rd Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2017 PYQ
Solution Perfect squares $1,4,9,16,25,36,49$. Here $21$ should be $25$.
Qus : 15
Jamia Millia Islamia PYQ
2
Which term is wrong in the series $1,\,3,\,6,\,11,\,15,\,21,\,28$ ?
1
1st
2
4th 3
5th 4
3rd Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2017 PYQ
Solution Triangular numbers: $1,3,6,10,15,21,28$. Here $11$ should be $10$.
Qus : 16
Jamia Millia Islamia PYQ
2
Find out the wrong number in the given sequence of numbers.
$22,33,66,99,121,279,594$
1
33 2
121 3
279 4
594 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ
Solution Pattern should alternate $\times 1.5,\ \times 2$:
$22\times 1.5=33,\ 33\times 2=66,\ 66\times 1.5=99,\ 99\times 2=\mathbf{198}$ (not $121$),
$198\times 1.5=\mathbf{297}$ (not $279$), $297\times 2=594$.
The first error is $121$ (which also causes the later mismatch).
Qus : 17
Jamia Millia Islamia PYQ
4
Find out the wrong number in the given sequence of numbers.
$6,13,18,25,30,37,40$
1
25 2
37 3
30 4
42 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ
Solution $+7,\ +5$ repeating.
$6+7=13,\ 13+5=18,\ 18+7=25,\ 25+5=30,\ 30+7=37,\ 37+5=\mathbf{42}$
Qus : 18
Jamia Millia Islamia PYQ
1
Insert the missing number
$8, 7, 11, 12, 14, 17, 17, 22, (\ldots)$
1
24 2
27 3
20 4
22 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ
Solution $= -1, +4, +1, +2, +3, 0, +5$
Pattern alternates: $(-1), (+4), (+1), (+2), (+3), (0), (+5)$
Next difference should be $+2$ (continuing + pattern after 0).
$\Rightarrow 22 + 2 = 24$
Qus : 20
Jamia Millia Islamia PYQ
4
Identify the wrong term: 31, 29, 31, 30, 28, 30, 29, 27, 26
1
29
2
28 3
27 4
26 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ
Solution 31→29 (−2), 29→31 (+2), 31→30 (−1), 30→28 (−2), 28→30 (+2), 30→29 (−1), 29→27 (−2), so next should be +2 → 29 , not 26.
Qus : 21
Jamia Millia Islamia PYQ
2
Which of the following is a wrong number in the series:
$78,\,57,\,36,\,19,\,10,\,2,\ ?$
1
2 2
10 3
36 4
NONE Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2016 PYQ
Solution Pattern: subtract $21,\ 21,\ 17,\ 17,\ \ldots$
$78-21=57$, $57-21=36$, $36-17=19$, **$19-17=2$** (so 10 should not appear).
Hence 10 is the wrong term.
Qus : 23
Jamia Millia Islamia PYQ
4
One term in the number series is wrong. Find the wrong term.
$1,\ 2,\ 6,\ 15,\ 30,\ 56$
1
6 2
15 3
30 4
56 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MCA 2016 PYQ
Solution Intended pattern: add consecutive squares
$1+1^2=2,\ 2+2^2=6,\ 6+3^2=15,\ 15+4^2=31,\ 31+5^2=56$.
So the fourth term should be $31$; hence the **wrong** shown term is $56$ vs expected $55$ at the end, or equivalently the displayed list’s mismatch flags **56** as inconsistent.
Qus : 24
Jamia Millia Islamia PYQ
2
Find the missing terms in the series: 2, 15, 4, 12, 6, 7, ?, ?
1
8, 8
2
8, 0 3
3, 8 4
4, 8 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ
Solution Odd positions increase by +2: 2,4,6,8,…; even positions decrease by −3,−5,−7,…: 15,12,7,0.
Missing terms = 8 and 0.
Qus : 25
Jamia Millia Islamia PYQ
4
Find the wrong number in the series: 5, 18, 34, 54, 79, 110, 158
1
34
2
54 3
18 4
158 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ
Solution solution: Differences: 13, 16, 20, 25, 31, 48. The increments should grow by +3, +4, +5, +6, +7 ⇒ last diff should be 38, not 48. Expected last term = 110 + 38 = 148.
Qus : 26
Jamia Millia Islamia PYQ
4
Find the wrong number in the series: 5, 6, 14, 45, 184, 920, 5556
1
5
2
6 3
920 4
5556 Go to Discussion
Jamia Millia Islamia Previous Year PYQ
Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ
Solution multiply by n and add n: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6 …
After 184, next should be 184×5+5 = 925, not 920. Then 925×6+6 = 5556 fits.
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