Recent questions in Quantitative Aptitude

2 2 votes
2 2 answers
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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...
4 4 votes
2 2 answers
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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
1 1 answer
665
665 views
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 $0 < b_{1} < b_{2}<1$....
1 1 vote
2 2 answers
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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...
5 5 votes
3 answers 3 answers
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​​​​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...
8 8 votes
4 4 answers
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​​​​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$$36$
14 14 votes
4 4 answers
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The greatest prime factor of $\left(3^{199}-3^{196}\right)$ is$13$$17$$3$$11$
11 11 votes
2 2 answers
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​​​​​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...
7 7 votes
2 2 answers
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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...
5 5 votes
2 2 answers
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1.2k views
What is the smallest number with distinct digits whose digits add up to $45?$$123555789$$123457869$$123456789$$99999$
3 3 votes
5 5 answers
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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...
7 7 votes
4 4 answers
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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}$
6 6 votes
3 3 answers
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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,...
1 1 vote
0 0 answers
444
444 views
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$$\alpha...
1 1 vote
0 0 answers
365
365 views
You are allotted a rectangular room of a fixed height. You have decided to paint the three walls and put wallpaper on the fourth one. Walls can be painted at a cost of Rs...
1 1 vote
1 1 answer
495
495 views
Under what conditions is the following inequality true for $a, b>0$$$\log _e(a+b) \geq \lambda \log _e(a / \lambda)+(1-\lambda) \log _e(b /(1-\lambda))$$$\lambda=0.5$$0<a...
1 1 vote
0 0 answers
393
393 views
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
318
318 views
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
337
337 views
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$