Recent questions in General Aptitude

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TIFR ECE 2015 | Question: 11
For $x>0$, for which range of values of $\alpha$ is the following inequality true? \[ x \log _{e}(x) \geq x-\alpha \] $\alpha \geq 1 / 2$ $\alpha \geq 0$ $\alpha \leq 2$ $\alpha \geq 1$ None of the above

admin asked in Quantitative Aptitude Dec 15, 2022

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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)) $ $\lambda=0.5$ $0<a / \lambda \leq 1, b /(1-\lambda)>0$ $a / \lambda>0,0<b /(1-\lambda) \leq 1$ All of the above None of the above

admin asked in Quantitative Aptitude Dec 1, 2022

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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 $A_{n}{ }^{\prime} s, n=1, \ldots, \infty$ is an interval is a single point is an empty set cannot be determined has two disjoint intervals

admin asked in Quantitative Aptitude Dec 1, 2022

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TIFR ECE 2021 | Question: 2
Given a fixed perimeter of $1,$ among the following shapes, which one has the largest area? Square A regular pentagon A regular hexagon A regular septagon A regular octagon

admin asked in Quantitative Aptitude Nov 30, 2022

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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: $2$ $4$ $1$ $5$ $3$

admin asked in Quantitative Aptitude Nov 30, 2022

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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 earlier position in a random direction independent of its past. After $4$ steps, what is the expected square of the distance (measured in centimeters) from its starting point? $4$ $1$ $2$ $\pi$ $0$

admin asked in Quantitative Aptitude Nov 30, 2022

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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 for all integers $n \geq 1$ ... not hold for any integer $n \geq 1$ $n-\frac{1}{n}=\sqrt{n^{2}-1}$ for infinitely many integers $n \geq 1$

admin asked in Quantitative Aptitude Nov 29, 2022

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GATE ECE 2010 | Question: 56
Which of the following options is the closest in meaning to the word below: Circuitous cyclic indirect confusing crooked

admin asked in Verbal Aptitude Sep 15, 2022

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GATE ECE 2010 | Question: 57
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed : Worker fallow : land unaware : sleeper wit : jester renovated : house

admin asked in Verbal Aptitude Sep 15, 2022

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GATE ECE 2010 | Question: 58
Choose the most appropriate word from the options given below to complete the following sentence: If we manage to ___________ our natural resources, we would leave a better planet for our children. uphold restrain cherish conserve

admin asked in Verbal Aptitude Sep 15, 2022

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GATE ECE 2010 | Question: 59
Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics ____________ his lack of seriousness about the subject. masked belied betrayed suppressed

admin asked in Verbal Aptitude Sep 15, 2022

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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 neither hockey nor football is: $2$ $17$ $13$ $3$

admin asked in Quantitative Aptitude Sep 15, 2022

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GATE ECE 2010 | Question: 61
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments ... of chemical agents in warfare would be undesirable. People in military establishments like to use chemical agents in war.

admin asked in Verbal Aptitude Sep 15, 2022

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14

GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$

admin asked in Quantitative Aptitude Sep 15, 2022

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15

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 has $2$ skilled, $6$ semi-skilled and $5$ unskilled workers, how long will it take to build the wall? $20$ days $18$ days $16$ days $15$ days

admin asked in Quantitative Aptitude Sep 15, 2022

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16

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? $50$ $51$ $52$ $54$

admin asked in Quantitative Aptitude Sep 15, 2022

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17

GATE ECE 2010 | Question: 65
Hari (H), Gita (G), Irfan (I), and Saira (S) are siblings (i.e. brothers and sisters). All were born on $1^{st}$ January. The age difference between any two successive siblings (that is born one after another) is less than $3$ years. ... not the oldest and Saira is not the youngest. There are no twins. In what order were they born (oldest first)? HSIG SGHI lGSH IHSG

admin asked in Analytical Aptitude Sep 15, 2022

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GATE ECE 2011 | Question: 56
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena dancer : stage commuter : train teacher : classroom lawyer : courtroom

admin asked in Verbal Aptitude Sep 3, 2022

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19

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 $\text{Q}$. However, on the day of election $15 \%$ of the voters went back on their promise ... $\mathrm{P}$ lost by $2$ votes, then what was the total number of voters? $100$ $110$ $90$ $95$

admin asked in Quantitative Aptitude Sep 3, 2022

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20

GATE ECE 2011 | Question: 58
Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country's problems had been__________________ by foreign technocrats, so that to invite them to come back would be counter-productive. identified ascertained exacerbated analysed

admin asked in Verbal Aptitude Sep 3, 2022

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21

GATE ECE 2011 | Question: 59
Choose the word from the options given below that is most nearly opposite in meaning to the given word: Frequency periodicity rarity gradualness persistency

admin asked in Verbal Aptitude Sep 3, 2022

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GATE ECE 2011 | Question: 60
Choose the most appropriate word from the options given below to complete the following sentence: Under ethical guidelines recently adopted by the Indian Medical Association, human genes are to be manipulated only to correct diseases for which_________________ treatments are unsatisfactory. similar most uncommon available

admin asked in Verbal Aptitude Sep 3, 2022

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23

GATE ECE 2011 | Question: 61
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight ... horses were given immunity to diseases generally quite immune to diseases given medicines to fight toxins given diphtheria and tetanus serums

admin asked in Verbal Aptitude Sep 3, 2022

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24

GATE ECE 2011 | Question: 62
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below. The distances covered during four laps of the journey are listed in the table below ... the fuel consumed per kilometre was least during the lap $\mathrm{P}$ $\mathrm{Q}$ $\mathrm{R}$ $\mathrm{S}$

admin asked in Quantitative Aptitude Sep 3, 2022

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25

GATE ECE 2011 | Question: 63
Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl. $\text{S}$ took $1 / 4^{\text {th }}$ of what was left but ... two back into the bowl. If the bowl had $17$ toffees left, how many toffees were originally there in the bowl? $38$ $31$ $48$ $41$

admin asked in Quantitative Aptitude Sep 3, 2022

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26

GATE ECE 2011 | Question: 65
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$ $(4 / 81)\left[10^{n-1}-9 n-1\right]$ $(4 / 81)\left[10^{n+1}-9 n-10\right]$ $(4 / 81)\left[10^{n}-9 n-10\right]$

admin asked in Quantitative Aptitude Sep 3, 2022

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27

GATE ECE 2022 | GA Question: 1
Mr. $\text{X}$ speaks __________ Japanese ____________ Chinese. neither /or either / nor neither / nor also / but

Arjun asked in Verbal Aptitude Feb 15, 2022

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28

GATE ECE 2022 | GA Question: 2
A sum of money is to be distributed among $\text{P, Q, R,}$ and $\text{S}$ in the proportion $5:2:4:3,$ respectively. If $\text{R}$ gets ₹ $ 1000$ more than $\text{S},$ what is the share of $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$

Arjun asked in Quantitative Aptitude Feb 15, 2022

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29

GATE ECE 2022 | GA Question: 3
A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$ Further, it is given that, $\text{PQ = 11 cm, QR = 4 cm, RS = 6 cm}$ and $\text{SP = 3 cm.}$ What is the shortest distance between $\text{PQ}$ and $\text{SR (in cm)}?$ $1.80$ $2.40$ $4.20$ $5.76$

Arjun asked in Quantitative Aptitude Feb 15, 2022

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30

GATE ECE 2022 | GA Question: 4
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of squares without a “hole in the interior” that can be formed within the $4 \times 4$ grid using the unit squares as building blocks? $15$ $20$ $21$ $26$

Arjun asked in Spatial Aptitude Feb 15, 2022

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31

GATE ECE 2022 | GA Question: 5
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) ... $\text{Q}$ $\text{Q}$ $\text{Q}$ and $\text{S}$ $\text{R}$ and $\text{S}$

Arjun asked in Spatial Aptitude Feb 15, 2022

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32

GATE ECE 2022 | GA Question: 6
Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be ... may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

Arjun asked in Analytical Aptitude Feb 15, 2022

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33

GATE ECE 2022 | GA Question: 7
Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$

Arjun asked in Quantitative Aptitude Feb 15, 2022

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34

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? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$

Arjun asked in Quantitative Aptitude Feb 15, 2022

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35

GATE ECE 2022 | GA Question: 9
In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ ... given above, the person who has copied in the exam is $\text{R}$ $\text{P}$ $\text{Q}$ $\text{T}$

Arjun asked in Analytical Aptitude Feb 15, 2022

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36

GATE ECE 2022 | GA Question: 10
Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively. Let $\text{X, Y}$ and $\text{Z}$ represent the following operations: $\text{X:}$ rotation of the square by $180$ ... The sequence of operations $(2)$ and $(3)$ are equivalent The sequence of operations $(1), (2)$ and $(3)$ are equivalent

Arjun asked in Spatial Aptitude Feb 15, 2022

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37

GATE ECE 2022 | Question: 21
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in $17$ of her matches, the bowler has taken $5$ wickets each. The median number of wickets taken by the bowler in a match is _______________ (rounded off to one decimal place).

Arjun asked in Analytical Aptitude Feb 15, 2022

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2 votes

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38

GATE ECE 2021 | GA Question: 1
The current population of a city is $11,02,500$ . If it has been increasing at the rate of $5\%$ per annum, what was its population $2$ years ago? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$

Arjun asked in Quantitative Aptitude Feb 20, 2021

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2 answers

39

GATE ECE 2021 | GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$

Arjun asked in Quantitative Aptitude Feb 20, 2021

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40

GATE ECE 2021 | GA Question: 3
The least number of squares that must be added so that the line $P-Q$ becomes the line of symmetry is ____________ $4$ $3$ $6$ $7$

Arjun asked in Spatial Aptitude Feb 20, 2021

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