Recent questions tagged analytical-aptitude

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​​​​​​If a positive real $x$ satisfies the following equation\[\log _{2} x+\log _{\sqrt{2}} x=48\]then the value of $x$ is $\_\_\_\_$$2^{16}$$4^{16}$$2^{14}$$4^{14}$
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The next figure (indicated by ' $?$ ' ) in the sequence is
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'All the mangoes in the basket are good.'If the above statement is false, then which one of the following statements is necessarily true?All the mangoes in the basket are...
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Consider the following statements about four numbers:$\text{(S1)}$ The average of the four numbers is $25$$\text{(S2)}$ Each number is at most $40$$\text{(S3)}$ Each numb...
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Consider a string $\text{P}$ of length $l$ that is laid out as a straight-line segment. Another string $\text{K}$ is laid out as a semicircular arc with string $\text{P}$...
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The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with ex...
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Which one of the patterns labelled $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and S is used to generate the following figure?$\text{P}$$\text{Q}$$\text{R}$$\text{S}$
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Which one of the following stress conditions represents the state of pure shear stress?
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The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures $\text{P, Q, R,}$ or $\text{S}$ fits th...
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At how many points will the curves $y=x^{2}$ and $y=-x^{2}-2 x-1$ intersect in the real $(x, y)$ plane?$0$$1$$2$$3$
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Which one of the following figures $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, or S , correctly shows the $45^{\circ}$ clockwise-rotated version of figure $\text{(I)}?$$\text{P...
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In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...
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Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$
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Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, ...
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Given:\[\left[\begin{array}{lll}1 & 1 & 1 \\1 & 0 & 2\end{array}\right]\left\{\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}\right\}=\left\{\begin{array}{l}0 \\0\end{ar...
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Bag $\text{I}$ contains $4$ white and $6$ black balls.Bag $\text{II}$ contains $4$ white and $3$ black balls.One ball is drawn at random from any one of the two bags and ...
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It is given that $x$ and $y$ are integers in the following equation:\[(x+y-7)^{2}+(y+3 x-13)^{2}=0\]The value of $\left(x^{3}+y^{3}\right)$ is $\_\_\_\_$ (in integer).
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An electricity utility company charges ₹ $7$ per kWh (kilo watt-hour). If a $40$ -watt desk light is left on for $10$ hours each night for $180$ days, what would be the c...
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In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled $\text{(i), (ii), (iii),}$ and $\text{(iv)}...
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A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:The sum of Yellow balls and twice the number of ...
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For the clock shown in the figure, if$ \begin{array}{l} \mathrm{O}^{*}= \text {O Q S Z P R T, and } \\ \mathrm{X}^{*}=\text{X Z P W Y O Q,} \end{array}$then which one amo...
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Consider a five-digit number $P Q R S T$ that has distinct digits $P, Q, R, S$, and $T$, and satisfies the following conditions: $$\begin{array}{l} P < Q \\ S P T \\ R ...
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Three villages $P, Q$, and $R$ are located in such a way that the distance $P Q=13 \mathrm{~km}$, $Q R=14 \mathrm{~km}$, and $R P=15 \mathrm{~km}$, as shown in the figur...
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Given that $A$ and $B$ are not null sets, which of the following statements regarding probability is/are CORRECT?$\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathr...
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​​​A thin wire is used to construct all the edges of a cube of $1 \: \mathrm{m}$ side by bending, cutting and soldering the wire. If the wire is $12 \: \mathrm{m}$ long, ...
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​​​​​​The figures $I, II$ and $III$ are parts of a sequence. Which one of the following options comes next in the sequence at $IV$?
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​​​​​Rohit goes to a restaurant for lunch at about $1$ PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coincidi...
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​​​​A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K).Which one of the following opt...
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​​​​​A circle with center at $(x, y)=(0.5,0)$ and radius $=0.5$ intersects with another circle with center at $(x, y)=(1,1)$ and radius $=1$ at two points. One of the poi...
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​​​​​​An object is said to have an $n$-fold rotational symmetry if the object, rotated by an angle of $\frac{2 \pi}{n}$, is identical to the original.Which one of the fol...
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Statements:1. All heroes are winners.2. All winners are lucky people.Inferences:I. All lucky people are heroes.II. Some lucky people are heroes.III. Some winners are hero...
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In a sample of $100$ heart patients, each patient has $80 \%$ chance of having a heart attack without medicine $\mathrm{X}$. It is clinically known that medicine $\mathrm...
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​Which one of the given options is a possible value of $x$ in the following sequence?\[3,7,15, x, 63,127,255\]$35$$40$$45$$31$
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In how many ways can cells in a $3 \times 3 $ grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown. ...
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Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to...
5 5 votes
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Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people....
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A duck named Donald Duck says "All ducks always lie."Based only on the information above, which one of the following statements can be logically inferred with certainty? ...
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Based only on the truth of the statement 'Some humans are intelligent', which one of the following options can be logically inferred with certainty?No human is intelligen...
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Given below are two statements and four conclusions drawn based on the statements.Statement $1:$ Some soaps are clean.Statement $2:$ All clean objects are wet.Conclusion ...
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An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east.The ant first turns ...