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Syllabus: Numerical computation, Numerical estimation, Numerical reasoning and data interpretation

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2 &1&2&1&2&3&2&3&1&2&1&1.9&3
\\\hline\textbf{2 Marks Count} & 2 &3&2&3&3&4&4&4&3&3&2&3.1&4
\\\hline\textbf{Total Marks} & 6 &7&6&7&8&11&10&11&7&8&\bf{6}&\bf{8.1}&\bf{11}\\\hline
\end{array}}}$$

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Recent questions in Quantitative Aptitude

1 votes
0 answers
1261
ISI2013-PCB-A-1
The vertices of a triangle $T$ are given. For an arbitrary point $P$ in the plane, give an algorithm to test if $P$ belongs to the interior of $T$. (The interior of $T$ does not include its edges).
The vertices of a triangle $T$ are given. For an arbitrary point $P$ in the plane, give an algorithm to test if $P$ belongs to the interior of $T$. (The interior of $T$ d...
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1 votes
0 answers
1263
ISI2014-PCB-A-1a
Let $x=(x_1, x_2, \dots x_n) \in \{0,1\}^n$ By $H(x)$ we mean the number of 1's in $(x_1, x_2, \dots x_n)$. Prove that $H(x) = \frac{1}{2} (n-\Sigma^n_{i=1} (-1)^{x_i})$.
Let $x=(x_1, x_2, \dots x_n) \in \{0,1\}^n$ By $H(x)$ we mean the number of 1's in $(x_1, x_2, \dots x_n)$. Prove that $H(x) = \frac{1}{2} (n-\Sigma^n_{i=1} (-1)^{x_i})$....
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0 votes
2 answers
1264
Trigonometry
The value of sin 2 $\pi \div$18 + sin 2 $\pi \div$9 +sin 2 7$\pi \div$ 18+ sin 2 4$\pi \div$9 = 1 4 2 8
The value of sin 2 $\pi \div$18 + sin 2 $\pi \div$9 +sin 2 7$\pi \div$ 18+ sin 2 4$\pi \div$9 =1428
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3 votes
1 answer
1265
ISI2015-PCB-A-2
Prove that in any sequence of $105$ integers, there will always be a subsequence of consecutive elements in the sequence, whose sum is divisible by $99$.
Prove that in any sequence of $105$ integers, there will always be a subsequence of consecutive elements in the sequence, whose sum is divisible by $99$.
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1 votes
1 answer
1268
CMI2014-B-02
There are $n$ students in a class. The students have formed $k$ committees. Each committee consists of more than half of the students. Show that there is at least one student who is a member of more than half of the committees.
There are $n$ students in a class. The students have formed $k$ committees. Each committee consists of more than half of the students. Show that there is at least one stu...
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1 votes
1 answer
1269
CMI2014-A-08
What are the possible values of $gcd(7p + 94,\: 7p^2 + 97p + 47)$, where $p$ is an arbitrary integer? Either $1$ or $94$ Either $94$ or $47$ Either $1$ or $47$ None of these
What are the possible values of $gcd(7p + 94,\: 7p^2 + 97p + 47)$, where $p$ is an arbitrary integer?Either $1$ or $94$Either $94$ or $47$Either $1$ or $47$None of these
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1 votes
1 answer
1270
CMI2014-A-07
Let $M$ be the maximum number of unit disks (disks of radius $1$) that can be placed inside a disk of radius $10$ so that each unit disk lies entirely within the larger disk and no two unit disks overlap. Then: $M < 25$ $25 \leq M < 40$ $40 \leq M < 55$ $M \geq 55$
Let $M$ be the maximum number of unit disks (disks of radius $1$) that can be placed inside a disk of radius $10$ so that each unit disk lies entirely within the larger d...
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1 votes
1 answer
1274
missing number
Find the missing number from the given alternatives. 8 14 13 17 18 26 31 16 ? 28 38 36 35
Find the missing number from the given alternatives.814131718263116?28383635
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3 votes
2 answers
1275
CMI2010-A-07
For integer values of $n$, the expression $\frac{n(5n + 1)(10n + 1)}{6}$ Is always divisible by $5$. Is always divisible by $3$. Is always an integer. None of the above
For integer values of $n$, the expression $\frac{n(5n + 1)(10n + 1)}{6}$Is always divisible by $5$.Is always divisible by $3$.Is always an integer.None of the above
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2 votes
2 answers
1276
CMI2010-A-03
The area of the largest square that can be drawn inside a circle with unit radius is $\sqrt{2}$ $2$ $1$ None of the above
The area of the largest square that can be drawn inside a circle with unit radius is$\sqrt{2}$$2$$1$None of the above
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9 votes
6 answers
1277
ISRO-2013-72
How many diagonals can be drawn by joining the angular points of an octagon? $14$ $20$ $21$ $28$
How many diagonals can be drawn by joining the angular points of an octagon?$14$$20$$21$$28$
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0 votes
2 answers
1278
UPPCL'13
Which of the following groups of letters is the odd one out? 1) PRTXZ 2) FMKRD 3) JMPTY 4) BFJLS
Which of the following groups of letters is the odd one out?1) PRTXZ2) FMKRD3) JMPTY4) BFJLS
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0 votes
1 answer
1280
Mixture and ratio
A container contain spirit to water ratio of 2:3 and other container contain 4:7 spirit to water ratio. If both mixtures are combined together in a large container what will be the new spirit to water ratio.? What should be the approach to handle these types of question?
A container contain spirit to water ratio of 2:3 and other container contain 4:7 spirit to water ratio. If both mixtures are combined together in a large container what w...
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