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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline \textbf{Year}& \textbf{2026 - 1}& \textbf{2026 - 2}& \textbf{2025 - 1}& \textbf{2025 - 2}& \textbf{2024 - 1}& \textbf{2024 - 2}& \textbf{2023}& \textbf{2022}& \textbf{2021 - 1}& \textbf{2021 - 2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}\\\hline \textbf{1 Mark Count}&2&2&1&2&4&3&1&2&1&2&1&2&4\\\hline \textbf{2 Marks Count}&2&2&3&3&2&2&2&2&3&2&2&2.3&3\\\hline \textbf{Total Marks}&6&6&7&8&8&7&5&6&7&6&\bf{5}&\bf{6.6}&\bf{8}\\\hline \end{array}}}$$

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3 3 votes
2 2 answers
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CIL 2020 | Numerical Ability | Question: 1
The average of $17$ numbers is $48$. The average of first $9$ numbers is $45$ and average of next $9$ numbers is $52$. If $9$ th number is excluded, the average of the re...
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1 1 vote
1 1 answer
288
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CIL 2020 | Numerical Ability | Question: 2
Alloy $\text{A}$ contains copper and zinc in the ratio $4: 5$ and alloy $\text{B}$ contains copper and zinc in the ratio $7: 2$. $\text{A}$ and $\text{B}$ are taken in th...
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2 2 votes
2 2 answers
349
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CIL 2020 | Numerical Ability | Question: 3
A woman distributed her savings between her daughters $\text{A, B, C}$ and $\text{D}$ in the ratio $6: 7: 9$ : $16$. If $\text{A}$ gives Rs. $600$ from his share to $\tex...
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1 1 vote
1 1 answer
160
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CIL 2020 | Numerical Ability | Question: 4
Sum of first $10$ terms of a $\text{GP}$ is equal to the sum of the first $12$ terms in the same $\text{GP}$. Sum of the first $17$ terms is $42$, what is the fourth term...
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1 1 vote
0 0 answers
151
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CIL 2020 | Numerical Ability | Question: 5
If a six-digit number $3 x 9 z 8 y$ is divisible by $7,11,13$, then the average value of $x, y, z$ is:$23 / 3$$31 / 3$$8$$20 / 3$
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1 1 vote
0 0 answers
108
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CIL 2020 | Numerical Ability | Question: 6
Twenty five litres of $40\%$ concentration of acid solution is added to $35$ litres of $70\%$ concentration of acid solution. What is the concentration of acid in the new...
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0 0 votes
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90
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CIL 2020 | Numerical Ability | Question: 7
A $18$ m long ladder (whose foot is on the ground) leans against a wall making an angle of $30^{\circ}$ with the wall. What is the height (in m ) of the point where the l...
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1 1 vote
1 1 answer
108
108 views
CIL 2020 | Numerical Ability | Question: 8
A person invested a sum of Rs. $9000$ at $\mathbf{r} \%$ per annum at simple interest and a sum of Rs.$13500$ at $(\mathrm{r}-2) \%$ at simple interest. If total interest...
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0 0 votes
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111
111 views
CIL 2020 | Numerical Ability | Question: 9
From the top of a pole house A in a street, the angles of elevation and depression of the top and foot of house B on the opposite side of the street are $60^{\circ}$ and ...
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1 1 vote
0 0 answers
101
101 views
CIL 2020 | Numerical Ability | Question: 10
A woman saves $18 \%$ of her income. If her income increases by $15 \%$ and the expenditure increases by $21.6 \%$, then what is the percent decrease in the saving (corre...
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0 0 votes
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80
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CIL 2020 | Numerical Ability | Question: 11
If $\text{A}$'s income is $60 \%$ more of $\text{B}$'s income and $\text{B}$'s income is $40 \%$ less than $\text{C}$'s income, then by what percent is $\text{C}$'s incom...
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0 0 votes
1 1 answer
115
115 views
CIL 2020 | Numerical Ability | Question: 12
A person sold two articles for Rs. $1836$ each. On one he gained $20\%$ and on other he lost $20 \%$. What is his overall gain or loss percent, correct to one decimal pla...
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1 1 vote
1 1 answer
125
125 views
CIL 2020 | Numerical Ability | Question: 13
A train while going slower by $15$ km reaches late by $45$ hours, if it travels faster by $60$ km it reaches $\mathbf{72}$ hours earlier. The total distance (in $\mathbf{...
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1 1 vote
1 1 answer
100
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CIL 2020 | Numerical Ability | Question: 14
If $x=\frac{\sqrt{7}-\sqrt{5}}{\sqrt{5}+\sqrt{7}}$ and y is reciprocal of x, then what is the value of $\sqrt{\left(x^{3}+y^{3}\right)}$?$3 \sqrt{47}$$\sqrt{47}$$6 \sqrt{...
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0 0 votes
0 0 answers
59
59 views
CIL 2020 | Numerical Ability | Question: 15
In a class of $60$ students, the girls are $60 \%$. The average weight of boys is $62$ kg and that of girls is $58$ kg. What is the average weight (in kg ) of whole class...
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0 0 votes
0 0 answers
79
79 views
CIL 2020 | Numerical Ability | Question: 16
A loan has to be returned in two equal yearly instalments each of Rs. $42135$. If the rate of interest is $6 \%$ p.a., compounded annually, then the total interest paid (...
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0 0 votes
0 0 answers
72
72 views
CIL 2020 | Numerical Ability | Question: 17
$A$ and $B$ can do a work in $21$ days, $A$ is $\dfrac{7}{4}$ times as efficient as $B$. In how many days, $A$ alone can complete the $\dfrac{200}{3} \%$ of the work?$22$...
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1 1 vote
1 1 answer
85
85 views
CIL 2020 | Numerical Ability | Question: 18
The value of $\dfrac{5.169 \times 5.169 \times 5.169+64 \times(0.888)^{3}}{(5.169)^{2}+(3.552)^{2}-4(0.888)(5.169)}$ is $(8+k)$, where $k=$?$0.656$$0.388$$0.721$$0.129$
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1 1 vote
1 1 answer
96
96 views
CIL 2020 | Numerical Ability | Question: 19
If $\sqrt{12-2 \sqrt{35}}+\sqrt{8+2 \sqrt{15}}=\sqrt{a}+\sqrt{b}$, where a and b are positive integers, then the value of $a b$ is closest to:$21$$35$$8$$12$
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1 1 vote
1 1 answer
91
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CIL 2020 | Numerical Ability | Question: 20
The third term of an arithmetic progression is $6$. Then the sum of first five terms is:$25$$30$$15$$35$
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