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2961
CAT 2010 | Question: 10
Let $\text{S}$ denote the infinite sum $2+5x+9x^{2}+14x^{3}+20x^{4}+\ldots$ where $\mid x \mid < 1$ and the coefficient of $x^{n-1}$ is $\dfrac{1}{2}n\left ( n+3 \right ), \left ( n=1,2,\ldots \right ).$ Then $\text{S}$ equals $\frac{2-x}{(1-x)^{3}}$ $\frac{2-x}{(1+x)^{3}}$ $\frac{2+x}{(1-x)^{3}}$ $\frac{2+x}{(1+x)^{3}}$
Let $\text{S}$ denote the infinite sum $2+5x+9x^{2}+14x^{3}+20x^{4}+\ldots$where $\mid x \mid < 1$ and the coefficient of $x^{n-1}$ is $\dfrac{1}{2}n\left ( n+3 \right )...
Arjun
8.6k
points
662
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
infinite-geometric-progression
+
–
0
votes
0
answers
2962
CAT 2010 | Question: 11
$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all have the same areas and $\text{BQ} = 2$, then $\text{AQ} = $ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$
$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all...
Arjun
8.6k
points
405
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
geometry
+
–
0
votes
0
answers
2963
CAT 2010 | Question: 16
Let $f$ be an injective map with domain $\left \{ x, y, z \right \}$ and the range $\left \{ 1, 2, 3 \right \}$ such that exactly one of the following statements is correct and the remaining are false. $f\left \{x \right \}=1,f\left ( y \right )\neq 1,f\left ( z \right )\neq 2.$ The value of $f^{-1}\left ( 1 \right )$ is $x$ $y$ $z$ None of the above
Let $f$ be an injective map with domain $\left \{ x, y, z \right \}$ and the range $\left \{ 1, 2, 3 \right \}$ such that exactly one of the following statements is corre...
Arjun
8.6k
points
463
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
functions
+
–
0
votes
0
answers
2964
CAT 2010 | Question: 13
In an examination, the average marks obtained by students who passed was $x\%$, while the average of those who failed was $y\%$. The average marks of all students taking the exam was $z\%$. Find in terms of $x, y$ and $z$, the percentage of students taking the exam who failed. ... $\left ( y-z \right )\left ( z-y \right )$ $\left ( y-z \right )\left ( x-z \right )$
In an examination, the average marks obtained by students who passed was $x\%$, while the average of those who failed was $y\%$. The average marks of all students taking ...
Arjun
8.6k
points
478
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
percentage
+
–
1
votes
1
answer
2965
CAT 2010 | Question: 14
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be $\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$ $\log_{a}24$ $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$ $1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be$\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$$\log_{a}24$$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$$1+\frac...
Arjun
8.6k
points
636
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
2966
CAT 2010 | Question: 15
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to: $2\:\log\left ( c-b \right )$ $2\:\log\left ( a-c\right )$ $2\:\log\left ( c-a\right )$ $\log\:a+\log\:b+\log\:c$
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to:$2\:\log\left ( c-...
Arjun
8.6k
points
845
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
2967
CAT 2010 | Question: 12
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive? $x^{2}-y^{2}=0$ $(x-k)^{2}+y^{2}=1$ $2$ $0$ $\sqrt{2}$ $\sqrt{-2}$
For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive?$x^{2}-y^{2}=0$$(x-k)^{2}+y^{2}=1$$2$$0$$\s...
Arjun
8.6k
points
2.8k
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
quadratic-equations
+
–
0
votes
0
answers
2968
CAT 2010 | Question: 18
In a factory making radioactive substances, it was considered that the three cubes of uranium together are hazardous. So the company authorities decided to have the stack of uranium interspersed with lead cubes. But there is a new worker in a company who does not know the ... wanted. What is the number of hazardous combinations of uranium in a stack of $5?$ $3$ $7$ $8$ $10$
In a factory making radioactive substances, it was considered that the three cubes of uranium together are hazardous. So the company authorities decided to have the stack...
Arjun
8.6k
points
947
views
Arjun
asked
Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
permutation-combination
+
–
1
votes
0
answers
2969
CAT 2010 | Question: 20
Geetanjali Express, which is $250$ metre long when moving from Howrah to Tatanagar crosses Subarnarekha bridge in $30$ seconds. What is the speed of Geetanjali Express? Statement I: Bombay Mail, which runs at $60$ km/hour crosses the Subranarekha bridge in $30$ seconds. Statements II: Bombay Mail when running at $90$ km/hour crosses a lamp post in $10$ seconds.
Geetanjali Express, which is $250$ metre long when moving from Howrah to Tatanagar crosses Subarnarekha bridge in $30$ seconds. What is the speed of Geetanjali Express?St...
Arjun
8.6k
points
1.5k
views
Arjun
asked
Mar 1, 2020
Logical Reasoning
cat2010
logical-reasoning
statement-follows
+
–
0
votes
0
answers
2970
CAT 2010 | Question: 21
According to the passage, lighting engineers need not Plot photometric curves Utilizes photometric data Understand Photometric techniques Have mathematical expertise
According to the passage, lighting engineers need notPlot photometric curvesUtilizes photometric dataUnderstand Photometric techniquesHave mathematical expertise
Arjun
8.6k
points
470
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
passage-reading
+
–
0
votes
0
answers
2971
CAT 2010 | Question: 22
The colour black is an example of A surface colour An achromatic colour An organic colour A diffuse colour
The colour black is an example ofA surface colourAn achromatic colourAn organic colourA diffuse colour
Arjun
8.6k
points
476
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
appropriate-word
+
–
0
votes
0
answers
2972
CAT 2010 | Question: 17
For constructing the working class consumer price index number of a particular town, the following weights corresponding to different group of items were assigned : Food - $55$, Fuel - $15$, Clothing - $10$, Rent - $8$ and Miscellaneous - $12$. It is known that the rise in food ... $317.14,158.57,94.64,189.28$ $311.14,159.57,90.64,198.28$ $321.14,162.57,84.46,175.38$
For constructing the working class consumer price index number of a particular town, the following weights corresponding to different group of items were assigned : Food ...
Arjun
8.6k
points
535
views
Arjun
asked
Mar 1, 2020
Logical Reasoning
cat2010
logical-reasoning
logic-puzzles
+
–
0
votes
0
answers
2973
CAT 2010 | Question: 19
A line graph on a graph sheet shows the revenue for each year from $1990$ through $1998$ by points and joints the successive points by straight line segments. The point for revenue of $1990$ is labeled $\text{A}$, that for $1991$ as $\text{B}$, and that for $1992$ ... between $\text{CB}$ and $x$-axis is $80$ degrees. Statement II: The scale of $y$-axis is $1$ cm = $1000$.
A line graph on a graph sheet shows the revenue for each year from $1990$ through $1998$ by points and joints the successive points by straight line segments. The point f...
Arjun
8.6k
points
570
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
line-graph
+
–
0
votes
0
answers
2974
CAT 2010 | Question: 27
Biotic disturbances in the context means Attacks from other living things, animals, etc. The disturbances caused by the natives on seeing the strange foreigners. The political disturbances causing the closedown of the parks. Disturbances caused by the wild animals on seeing the tourists.
Biotic disturbances in the context meansAttacks from other living things, animals, etc.The disturbances caused by the natives on seeing the strange foreigners.The politic...
Arjun
8.6k
points
391
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
appropriate-word
passage-reading
+
–
0
votes
0
answers
2975
CAT 2010 | Question: 24
Which of the following conclusion can be drawn from the passage? Precise measurement is a sufficient condition to ensure validity of conclusions resulting from an experiment. Experimental data might support multiple theoretical explanations same time ... of the theory underpinning the experiment is sufficient to ensure the validity of conclusions drawn from experiments.
Which of the following conclusion can be drawn from the passage?Precise measurement is a sufficient condition to ensure validity of conclusions resulting from an experime...
Arjun
8.6k
points
393
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
passage-reading
+
–
0
votes
0
answers
2976
CAT 2010 | Question: 28
By using the expression “environmentally destructive tourism” the author means The preservation of the wild beasts. Destruction of the wildlife and sancturies. Destroying the attractive sources of wild animals and birds. The maintenance of the flora and fauna of the country
By using the expression “environmentally destructive tourism” the author meansThe preservation of the wild beasts.Destruction of the wildlife and sancturies.Destroyin...
Arjun
8.6k
points
419
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
passage-reading
appropriate-word
+
–
0
votes
0
answers
2977
CAT 2010 | Question: 29
To implement the most scientific ways of tourism, we should Get industries and talented persons trained in the field. From a commission and a plan out how to implement the suggestions. Send a group of scientists abroad to learn more about tourism. Speed as much finance as possible to better the suggestions made.
To implement the most scientific ways of tourism, we shouldGet industries and talented persons trained in the field.From a commission and a plan out how to implement the ...
Arjun
8.6k
points
454
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
passage-reading
appropriate-word
+
–
0
votes
0
answers
2978
CAT 2010 | Question: 23
Paint is an example of a substance containing Inorganic material Body colours Surface colours Metallic colours
Paint is an example of a substance containingInorganic materialBody coloursSurface coloursMetallic colours
Arjun
8.6k
points
483
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
appropriate-word
+
–
0
votes
0
answers
2979
CAT 2010 | Question: 26
The author’s use of Snell’s law of refraction to illustrate Mayo’s perspective can best said to be Contrived Premediated Superfluous Illustrative
The author’s use of Snell’s law of refraction to illustrate Mayo’s perspective can best said to beContrivedPremediatedSuperfluousIllustrative
Arjun
8.6k
points
527
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
passage-reading
appropriate-word
+
–
0
votes
0
answers
2980
CAT 2010 | Question: 25
As per Mayo’s perspective, which of the following best defines the phrase “scientific explanation”? One which is most detailed in its explanation of natural phenomena. One which survives examination better than other explanations. One which has been thoroughly tested by scientific experts. One which refutes other explanations convincingly,
As per Mayo’s perspective, which of the following best defines the phrase “scientific explanation”?One which is most detailed in its explanation of natural phenomen...
Arjun
8.6k
points
534
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
passage-reading
appropriate-word
+
–
0
votes
0
answers
2981
CAT 2010 | Question: 30
Justice Minister Bola lge, confronted with the general incivility of local police, placed a ______ on the cads. Said the Hon. Bola lge, “I pray that god will make big holes in their pokets”. malediction sanction proscription plea
Justice Minister Bola lge, confronted with the general incivility of local police, placed a ______ on the cads. Said the Hon. Bola lge, “I pray that god will make big h...
Arjun
8.6k
points
434
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
fill-the-blank
+
–
0
votes
0
answers
2982
CAT 2010 | Question: 35
The _____ of the country should take a greater interest in promoting the indigenous works that are rooted in the deep traditions of scholarship across the world. LITERATI LITERATE LITERATURE LITERAL
The _____ of the country should take a greater interest in promoting the indigenous works that are rooted in the deep traditions of scholarship across the world.LITERATIL...
Arjun
8.6k
points
644
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
sentence-formation
fill-the-blank
+
–
0
votes
0
answers
2983
CAT 2010 | Question: 32
Choose the option that point out sentence(s) with grammatical error(s). I love the man dancing on the table. I love the man's dancing on the table. In $1986$ Elie Wiesel was named the Nobel Peace Prize recipient, an honour established by Alfred Nobel. ... wife will have to excuse themselves from the reception to speak to the caterer III and V I and IV II and V III and IV
Choose the option that point out sentence(s) with grammatical error(s).I love the man dancing on the table.I love the man’s dancing on the table.In $1986$ Elie Wiesel w...
Arjun
8.6k
points
733
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
sentence-correction
+
–
0
votes
0
answers
2984
CAT 2010 | Question: 34
Catch ... $\text{A-G; B-F; C-E; D-H}$ $\text{A-G; B-H; C-F; D-E}$
Catch$\begin{array}{II} \textbf{Dictionary definition} & \textbf{Usage} \\ \text{A. Capture} & \text{E. All her friends agreed that prasad was a good catch.} \\ \text{B. ...
Arjun
8.6k
points
804
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
match-the-following
+
–
1
votes
1
answer
2985
CAT 2010 | Question: 33
Infer ... $\text{A-H; B-G; C-F; D-E}$ $\text{A-E; B-F; C-G; D-H}$
Infer$\begin{array}{II}{\textbf{Dictionary Definition}} & \textbf{Usage} \\ \text{A. To derive by reasoning or implication} & \text{E. We see smoke and inter fire} \\ \te...
Arjun
8.6k
points
736
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
match-the-following
+
–
0
votes
1
answer
2986
CAT 2010 | Question: 31
During the heated discussion, the leader of the group ________ refuted all the claims brought by his opponents. Later everybody acknowledged that he survived by most _______ luck. ingeniously, incredible ingeniously, incredulous ingenuously, incredible ingenuously, incredulous
During the heated discussion, the leader of the group ________ refuted all the claims brought by his opponents. Later everybody acknowledged that he survived by most ____...
Arjun
8.6k
points
850
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
fill-the-blank
+
–
0
votes
0
answers
2987
CAT 2010 | Question: 39
Indict to Intrigue on Endow with Trample on I and IV I and III I, III and IV None of the above
Indict toIntrigue onEndow withTrample on I and IVI and IIII, III and IVNone of the above
Arjun
8.6k
points
440
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
appropriate-word
+
–
0
votes
0
answers
2988
CAT 2010 | Question: 40
Trace to Sparing of Replete with wonder at I and III I, II and III II, III and IV None of the above
Trace toSparing ofReplete withwonder at I and IIII, II and IIIII, III and IVNone of the above
Arjun
8.6k
points
470
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
appropriate-word
+
–
0
votes
0
answers
2989
CAT 2010 | Question: 41
Which of the following statements is wrong ? Depreciation expense is the lowest for food industry Power and fuel expenses are $5$th largest item in the expenditure of diverifies industries. Electricity industry earns more of other income as a percentage of total income compared to other industries. Raw material cost is the largest item of expense in all industry sectors
Which of the following statements is wrong ?Depreciation expense is the lowest for food industryPower and fuel expenses are $5$th largest item in the expenditure of diver...
Arjun
8.6k
points
534
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
+
–
0
votes
0
answers
2990
CAT 2010 | Question: 37
But she gained courage as she went on She was a little nervous about it just at first and opened their eyes and mouths so very wide the two creatures got so close to her, one on each side IV, III, II, I II, IV,III, I II, I, IV, III None of the above
But she gained courage as she went onShe was a little nervous about it just at firstand opened their eyes and mouths so very widethe two creatures got so close to her, on...
Arjun
8.6k
points
623
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
sentence-formation
+
–
0
votes
0
answers
2991
CAT 2010 | Question: 36
________ of different categories of problems often leads to design of improper solutions that fail to address the complexities of the problem. CONFABULATION CONFLATION CONFLICT CONFESSION
________ of different categories of problems often leads to design of improper solutions that fail to address the complexities of the problem.CONFABULATIONCONFLATIONCONFL...
Arjun
8.6k
points
891
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
sentence-formation
fill-the-blank
+
–
0
votes
0
answers
2992
CAT 2010 | Question: 38
It would perhaps be possible for him to be of some use to this brave girl he said to himself, vaguely at first, that without neglecting anything of what was due to his important mission. and this idea pleased him II, III, I, IV III, II, I, IV I, III, II, IV None of the above
It would perhaps be possible for him to be of some use to this brave girlhe said to himself, vaguely at first, thatwithout neglecting anything of what was due to his impo...
Arjun
8.6k
points
1.8k
views
Arjun
asked
Mar 1, 2020
English Language
cat2010
verbal-ability
sentence-formation
+
–
0
votes
0
answers
2993
CAT 2010 | Question: 45
If the ranking is based on Profit Before Tax in the descending order, subject to the condition that other expense' of all the industry sectors equals zero, then which of following statements is wrong? Rank of chemical industry does not change Rank of electricity ... Diversified industry rank changes from $3$rd to $4$th Rank of food industry changes from $5$th to $6$th
If the ranking is based on Profit Before Tax in the descending order, subject to the condition that ‘other expense’ of all the industry sectors equals zero, then whic...
Arjun
8.6k
points
434
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
+
–
0
votes
0
answers
2994
CAT 2010 | Question: 43
Which industry sector has ‘salaries’ and ‘wages’ as $3$rd largest item in its expenses? Food Services Textiles & Food Food & Machinery
Which industry sector has ‘salaries’ and ‘wages’ as $3$rd largest item in its expenses?Food ServicesTextiles & FoodFood & Machinery
Arjun
8.6k
points
442
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
+
–
0
votes
0
answers
2995
CAT 2010 | Question: 44
If the industry sectors are ranked on the basis of ‘Tax paid as a proportion of sales’ in the ascending order, then which industry will be placed at ranked $3$? Machinery Electricity Food Diversified
If the industry sectors are ranked on the basis of ‘Tax paid as a proportion of sales’ in the ascending order, then which industry will be placed at ranked $3$?Machin...
Arjun
8.6k
points
448
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
+
–
0
votes
0
answers
2996
CAT 2010 | Question: 42
Depreciation as a percentage of total expenses is maximum in which industry sector ? Chemical Diversified Electricity Machinery
Depreciation as a percentage of total expenses is maximum in which industry sector ?ChemicalDiversifiedElectricityMachinery
Arjun
8.6k
points
460
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
+
–
0
votes
0
answers
2997
CAT 2010 | Question: 46
Cost of production of $1$ item by company $\text{F}$ is what percent of the cost of production of item II by company $\text{D}?$ $16\%$ $33.33\%$ $66.67\%$ None of the above
Cost of production of $1$ item by company $\text{F}$ is what percent of the cost of production of item II by company $\text{D}?$$16\%$$33.33\%$$66.67\%$None of the above
Arjun
8.6k
points
404
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
tabular-data
+
–
0
votes
0
answers
2998
CAT 2010 | Question: 47
What is the total profit earned by company $\text{G}$ for items I and II together? $^{.} 78$ lakh $^{.}1.62$ crore $^{.}7.8$ crore $^{.}16.2$ lakh
What is the total profit earned by company $\text{G}$ for items I and II together?$^{.} 78$ lakh$^{.}1.62$ crore$^{.}7.8$ crore$^{.}16.2$ lakh
Arjun
8.6k
points
438
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
tabular-data
+
–
0
votes
0
answers
2999
CAT 2010 | Question: 49
The cost of production of both items together by company $\text{E}$ is equal to the total cost of production of both items together by which of the two companies? $\text{C}$ and $\text{D}$ $\text{B}$ and $\text{G}$ $\text{A}$ and $\text{D}$ $\text{C}$ and $\text{F}$
The cost of production of both items together by company $\text{E}$ is equal to the total cost of production of both items together by which of the two companies?$\text{C...
Arjun
8.6k
points
440
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
tabular-data
+
–
0
votes
0
answers
3000
CAT 2010 | Question: 48
What is the ratio of the cost of production of item I by company $\text{A}$ to the cost of production of item I by company $\text{D}?$ $3 : 5$ $1 : 2$ $2 :1$ $2 : 3$
What is the ratio of the cost of production of item I by company $\text{A}$ to the cost of production of item I by company $\text{D}?$$3 : 5$$1 : 2$$2 :1$$2 : 3$
Arjun
8.6k
points
509
views
Arjun
asked
Mar 1, 2020
Data Interpretation
cat2010
data-interpretation
tabular-data
+
–
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