Jamia Millia Islamia Number Series Previous Year Questions (PYQs) – Page 2 of 3
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Showing 26 questions
Which term is wrong in the series $1,\,1,\,2,\,4,\,5,\,8,\,13$ ?
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4
Solution
Fibonacci should be $1,1,2,3,5,8,13$. The 4th term should be $3$, not $4$.
Which term is wrong in the series $2,\,5,\,8,\,12,\,14,\,17,\,20$ ?
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Solution
Should be arithmetic with $+3$: $2,5,8,11,14,17,20$. So $12$ is wrong.
Find the missing number:
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Solution
Solution:
Row rule: first = second × (third/2).
Row1: 24 × (6/2) = 72 ✓
Row2: 16 × (12/2) = 96 ✓
Row3: 108 = ? × (18/2 = 9) ⇒ ? = 108/9 = 12.
Which term is wrong in the series $1,\,4,\,9,\,16,\,21,\,36,\,49$ ?
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Solution
Perfect squares $1,4,9,16,25,36,49$. Here $21$ should be $25$.
Which term is wrong in the series $1,\,3,\,6,\,11,\,15,\,21,\,28$ ?
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Solution
Triangular numbers: $1,3,6,10,15,21,28$. Here $11$ should be $10$.
Find out the wrong number in the given sequence of numbers.
$22,33,66,99,121,279,594$
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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).
Find out the wrong number in the given sequence of numbers.
$6,13,18,25,30,37,40$
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Solution
$+7,\ +5$ repeating.
$6+7=13,\ 13+5=18,\ 18+7=25,\ 25+5=30,\ 30+7=37,\ 37+5=\mathbf{42}$
Insert the missing number
$8, 7, 11, 12, 14, 17, 17, 22, (\ldots)$
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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).
$\Rightarrow 22 + 2 = 24$
Insert the missing number
$16, 33, 65, 131, 261, (\ldots)$
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Solution
Each term $\approx$ double of previous $+1$.
$16\times2+1=33$
$33\times2-1=65$
$65\times2+1=131$
$131\times2-1=261$
$261\times2+1=523$
Identify the wrong term: 31, 29, 31, 30, 28, 30, 29, 27, 26
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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.
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