Questions without answers in General Aptitude

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1
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$$\alpha...
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3
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4
Given a fixed perimeter of $1,$ among the following shapes, which one has the largest area?SquareA regular pentagonA regular hexagonA regular septagonA regular octagon
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5
The maximum area of a parallelogram inscribed in the ellipse (i.e. all the vertices of the parallelogram are on the ellipse) $x^{2}+4 y^{2}=1$ is:$2$$4$$1$$5$$3$
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8
Which of the following options is the closest in meaning to the word below:Circuitouscyclicindirectconfusingcrooked
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9
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.Unemployed :...
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10
Choose the most appropriate word from the options given below to complete the following sentence:If we manage to ___________ our natural resources, we would leave a bette...
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11
Choose the most appropriate word from the options given below to complete the following sentence:His rather casual remarks on politics ____________ his lack of seriousne...
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12
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neithe...
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14
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
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16
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$$54$
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18
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair:Gladiator : ...
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21
Choose the word from the options given below that is most nearly opposite in meaning to the given word:Frequencyperiodicityraritygradualnesspersistency
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26
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$$(4 / 81)\left[10^{n-1}-9 n-1\right]$$(4 / 81)\left[10^{n+1}-9 n-10\right]$...
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31
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32
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35
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36
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38
The students ___________ the teacher on the teachers’ day for twenty years of dedicated teaching.facilitatedfelicitatedfantasizedfacillitated
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40
Given ($9$ inches)$^{1/2}=(0.25$ yards)$^{1/2}$, which one of the following statements is $TRUE$?$3$ inches $= 0.5$ yards$9$ inches $= 1.5$ yards$9$ inches $= 0.25$ yards...
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