Recent questions in Analytical Aptitude

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1 1 answer
​​​​​​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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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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1 1 answer
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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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$$3$
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In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...
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Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$
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Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, ...
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$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$
2 2 votes
1 1 answer
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled $\text{(i), (ii), (iii),}$ and $\text{(iv)}...
2 2 votes
1 1 answer
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:The sum of Yellow balls and twice the number of ...
2 2 votes
1 1 answer
For the clock shown in the figure, if$ \begin{array}{l} \mathrm{O}^{*}= \text {O Q S Z P R T, and } \\ \mathrm{X}^{*}=\text{X Z P W Y O Q,} \end{array}$then which one amo...
3 3 votes
1 1 answer
Consider a five-digit number $P Q R S T$ that has distinct digits $P, Q, R, S$, and $T$, and satisfies the following conditions: $$\begin{array}{l} P < Q \\ S P T \\ R ...
1 1 vote
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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, ...
3 3 votes
1 1 answer
​​​​​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...
1 1 vote
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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...
1 1 vote
1 1 answer
​​​​​​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...
3 3 votes
2 2 answers
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...
2 2 votes
1 answers 1 answer
​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$
8 8 votes
5 5 answers
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. ...
5 5 votes
3 3 answers
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
3 3 answers
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....
7 7 votes
3 3 answers
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? ...
4 4 votes
3 3 answers
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...
3 3 votes
2 2 answers
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 ...
9 9 votes
5 5 answers
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 ...
8 8 votes
2 2 answers
Given the statements:$\text{P}$ is the sister of $\text{Q}$.$\text{Q}$ is the husband of $\text{R}$.$\text{R}$ is the mother of $\text{S}$.$\text{T}$ is the husband of $\...
7 7 votes
6 6 answers
In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position.The only movement allowed for a step involves,...
11 11 votes
5 answers 5 answers
The mirror image of the above text about the $x$-axis is
8 8 votes
3 answers 3 answers
On a planar field, you travelled $3$ units East from a point $O$. Next you travelled $4$ units South to arrive at point $P$. Then you travelled from $P$ in the North-East...
7 7 votes
2 answers 2 answers
Some football players play cricket.All cricket players play hockey.Among the options given below, the statement that logically follows from the two statements $1$ and $2$...
8 8 votes
3 answers 3 answers
The mirror image of the above test about the $\text{X}$-axis is
10 10 votes
2 answers 2 answers
$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$Among the options below, the logical $\text{NEGATION}$ of the above statement is ...
4 4 votes
3 answers 3 answers
If $0,1,2,\dots,7,8,9$ are coded as $O,P,Q,\dots,V,W,X$, then $45$ will be coded as ______.$TS$$ST$$SS$$SU$
6 6 votes
3 answers 3 answers
Five friends $P,Q,R,S$ and $T$ went camping. At night, they had to sleep in a row inside the tent. $P,Q$ and $T$ refused to sleep next to $R$ since he snored loudly. $P$ ...
5 5 votes
2 answers 2 answers
After the inauguration of the new building, the Head of the Department (HoD) collated faculty preferences for office space. $P$ wanted a room adjacent to the lab. $Q$ wan...
14 14 votes
4 answers 4 answers
For the year $2019$, which of the previous year’s calendar can be used?$2011$$2012$$2013$$2014$
13 13 votes
2 answers 2 answers
$P, Q, R, S, T$, and $U$ are seated around a circular table $R$ is seated two places to the right of $Q. \: P$ is seated three places to the left of $R. \: S$ is seated o...
6 6 votes
1 answers 1 answer
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than...