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Recent questions and answers in Quantitative Aptitude

23 23 votes
8 answers 8 answers
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GATE ECE 2014 Set 1 | GA | Question: 9
The exports and imports (in crores of $Rs$.) of a country from $2000$ to $2007$ are given in the following bar chart. If the trade deficit is defined as excess of imports...
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1 1 vote
1 1 answer
470
470 views
GATE ECE 2011 | Question: 57
There are two candidates $\mathrm{P}$ and $\mathrm{Q}$ in an election. During the campaign, $40 \%$ of the voters promised to vote for $\mathrm{P}$, and rest for $\text{Q...
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1 1 vote
1 1 answer
656
656 views
GATE ECE 2011 | Question: 65
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$$(4 / 81)\left[10^{n-1}-9 n-1\right]$$(4 / 81)\left[10^{n+1}-9 n-10\right]$...
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3 3 votes
5 5 answers
1.8k
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GATE ECE 2023 | GA | Question: 4
In a class of $100$ students,there are $30$ students who neither like romantic movies nor comedy movies,the number of students who like romantic movies is twice the numbe...
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7 7 votes
5 answers 5 answers
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GATE ECE 2018 | GA | Question: 4
What is the value of $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{256}+ \cdots?$$2$$\frac{7}{4}$$\frac{3}{2}$$\frac{4}{3}$
17 17 votes
3 answers 3 answers
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GATE ECE 2019 | GA | Question: 7
The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given i...
15 15 votes
3 answers 3 answers
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GATE ECE 2015 Set 1 | GA | Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...
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2 2 votes
1 1 answer
677
677 views
GATE ECE 2025 | GA | Question: 7
A stick of length one meter is broken at two locations at distances of $b_{1}$ and $b_{2}$ from the origin $(0)$, as shown in the figure. Note that $0 < b_{1} < b_{2}<1$....
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18 18 votes
7 answers 7 answers
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GATE ECE 2014 Set 2 | GA | Question: 10
It takes $30$ minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. W...
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16 16 votes
7 answers 7 answers
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GATE ECE 2016 Set 2 | GA | Question: 5
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ ...
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1 1 vote
1 1 answer
507
507 views
TIFR ECE 2010 | Question: 18
Under what conditions is the following inequality true for $a, b>0$$$\log _e(a+b) \geq \lambda \log _e(a / \lambda)+(1-\lambda) \log _e(b /(1-\lambda))$$$\lambda=0.5$$0<a...
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1 1 vote
1 1 answer
408
408 views
GATE ECE 2009 | Question: 55
The amplitude of a random signal is uniformly distributed between $-5 \mathrm{~V}$ and $5 \mathrm{~V}$.If the signal to quantization noise ratio required in uniformly qua...
0 0 votes
2 2 answers
703
703 views
GATE ECE 2012 | Question: 56
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$$2.23$$4.33$$11.37$$27.64$
7 7 votes
2 2 answers
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GATE ECE 2024 | GA | Question: 8
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index $\text{(BMI)}$ in $2003$ and $2023$. Based on the...
3 3 votes
3 answers 3 answers
686
686 views
GATE ECE 2017 Set 1 | GA | Question: 4
$40 \%$ of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is$120$$144$$160$$212$
1 1 vote
2 2 answers
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GATE ECE 2025 | GA | Question: 10
An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is $20 \%$ of the consultin...
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7 7 votes
3 answers 3 answers
789
789 views
GATE ECE 2016 Set 1 | GA | Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together,$15\%$ are unripe fruits. Of the unripe fruits, $45 \%$ are apples. Of the ripe ones, $66 \%$ ar...
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4 4 votes
2 2 answers
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GATE ECE 2025 | GA | Question: 4
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration $n$ ' is:Note: The figures shown ...
2 2 votes
2 2 answers
682
682 views
GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
2 2 votes
2 2 answers
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GATE ECE 2025 | GA | Question: 3
The $12$ musical notes are given as $C, C^{\#}, D, D^{\#}, E, F, F^{\#}, G, G^{\#}, A, A^{\#}$, and $B$. Frequency of each note is $\sqrt[12]{2}$ times the frequency of t...
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1 1 vote
1 1 answer
474
474 views
GATE ECE 1993 | Question 3.10
Consider a solid sphere and a hollow sphere, both of mass $M$, radius $R$ and initially at rest, which start rolling down the same inclined plane without slipping. At the...
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1 1 vote
1 1 answer
422
422 views
GATE ECE 2010 | Question: 64
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed?$50$$51$$52$$54$
1 1 vote
1 1 answer
633
633 views
GATE ECE 2010 | Question: 63
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team...
11 11 votes
2 2 answers
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GATE ECE 2024 | GA | Question: 7
​​​​​Four identical cylindrical chalk-sticks, each of radius $r=0.5 \mathrm{~cm}$ and length $l=10 \mathrm{~cm}$, are bound tightly together using a duct tape as shown in...
8 8 votes
4 4 answers
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GATE ECE 2024 | GA | Question: 4
​​​​For a real number $x>1$,$$\frac{1}{\log _{2} x}+\frac{1}{\log _{3} x}+\frac{1}{\log _{4} x}=1$$ The value of $x$ is$4$$12$$24$$36$
5 5 votes
3 answers 3 answers
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GATE ECE 2024 | GA | Question: 3
​​​​Five years ago, the ratio of Aman's age to his father's age was $1: 4$, and five years from now, the ratio will be $2:5$. What was his father's age when Aman was born...
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14 14 votes
4 4 answers
6.1k
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GATE ECE 2024 | GA | Question: 5
The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is$13$$17$$3$$11$
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6 6 votes
3 3 answers
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GATE ECE 2023 | GA | Question: 10
A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually,...
7 7 votes
4 4 answers
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GATE ECE 2023 | GA | Question: 7
Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$$f(x)=x 2^{-|x|}$$f(x)=|x| 2^{-x}$$f(x)=x 2^{-x}$
7 7 votes
3 3 answers
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GATE ECE 2022 | GA | Question: 8
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral.What is the area enclosed by the quadrilateral?$4$...
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5 5 votes
2 2 answers
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GATE ECE 2023 | GA | Question: 3
What is the smallest number with distinct digits whose digits add up to $45?$$123555789$$123457869$$123456789$$99999$
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1 1 vote
0 0 answers
451
451 views
TIFR ECE 2015 | Question: 11
For $x>0$, for which range of values of $\alpha$ is the following inequality true?\[x \log _{e}(x) \geq x-\alpha\]$\alpha \geq 1 / 2$$\alpha \geq 0$$\alpha \leq 2$$\alpha...
1 1 vote
0 0 answers
372
372 views
TIFR ECE 2014 | Question: 15
You are allotted a rectangular room of a fixed height. You have decided to paint the three walls and put wallpaper on the fourth one. Walls can be painted at a cost of Rs...
1 1 vote
0 0 answers
400
400 views
TIFR ECE 2010 | Question: 19
Let us define an interval $A(n)$ as a function of $n$ as $A(n)=(-1 / n, 1 / n)$. Then the set of points that lie in the intersection of $A_{n}{ }^{\prime} s, n=1, \ldots,...
1 1 vote
0 0 answers
323
323 views
TIFR ECE 2021 | Question: 2
Given a fixed perimeter of $1,$ among the following shapes, which one has the largest area?SquareA regular pentagonA regular hexagonA regular septagonA regular octagon
1 1 vote
0 0 answers
344
344 views
TIFR ECE 2021 | Question: 8
The maximum area of a parallelogram inscribed in the ellipse (i.e. all the vertices of the parallelogram are on the ellipse) $x^{2}+4 y^{2}=1$ is:$2$$4$$1$$5$$3$
1 1 vote
0 0 answers
440
440 views
TIFR ECE 2021 | Question: 12
An ant does a random walk in a two dimensional plane starting at the origin at time $0.$ At every integer time greater than $0,$ it moves one centimeter away from its ear...
1 1 vote
0 0 answers
349
349 views
TIFR ECE 2017 | Question: 5
Consider the inequality\[n-\frac{1}{n} \geq \sqrt{n^{2}-1},\]where $n$ is an integer $\geq 1$. Which of the following statements is $\text{TRUE?}$This inequality holds fo...
1 1 vote
0 0 answers
292
292 views
GATE ECE 2010 | Question: 60
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neithe...
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