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Recent questions tagged cat2010
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vote
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answer
1
CAT 2010 | Question: 4
Consider the following statements : When two straight lines intersect, then : adjacent angles are complementary adjacent angles are supplementary opposite angles are equal opposite angles are supplementary Of these statements: (I) and (III) are correct (II) and (III) are correct (I) and (IV) are correct (II) and (IV) are correct
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
340
views
cat2010
quantitative-aptitude
geometry
1
vote
1
answer
2
CAT 2010 | Question: 3
$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value of $\text{R}$. $5$ $7$ $9$ $11$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
277
views
cat2010
quantitative-aptitude
number-systems
0
votes
0
answers
3
CAT 2010 | Question: 2
Let $\text{S}$ be the set of rational numbers with the following properties: $\frac{1}{2}\in \text{S}$ If $x\in \text{S}$ then both $\frac{1}{x+1}\in \text{S}$ and $\frac{x}{x+1}\in \text{S}$ ... all rational numbers in the interval $-1 < x < 0$. $\text{S}$ contains all rational numbers in the interval $1 < x <\infty$.
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
280
views
cat2010
quantitative-aptitude
number-systems
1
vote
1
answer
4
CAT 2010 | Question: 1
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true? $rs = t$ $r + t = 2t – s$ $r + s = t – 2$ $r + t = 2s$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
444
views
cat2010
quantitative-aptitude
algebra
0
votes
0
answers
5
CAT 2010 | Question: 6
From a square piece of card-board measuring $2a$ on each side of a box with no top is to be formed by cutting out from each corner a square with sides $b$ and bending up the flaps. The value of $b$ for which the box has the greatest volume is $b= \frac{a}{5}$ $b= \frac{a}{4}$ $b= \frac{2a}{3}$ $b= \frac{a}{2}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
220
views
cat2010
quantitative-aptitude
geometry
1
vote
1
answer
6
CAT 2010 | Question: 7
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius $4$ $2$ $3$ None of these
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
536
views
cat2010
quantitative-aptitude
geometry
1
vote
0
answers
7
CAT 2010 | Question: 8
Consider the following statements: If $a^{x}=b,b^{y}=c,c^{z}=a,$ then $xyz=1$ If $p=a^{x},q=a^{y},\left ( p^{y}q^{y} \right )^{z}=a^{2},$ then $xyz=1$ If $x^{a}=y^{b}=z^{c}$ and $ab+bc+ca=0$ then $xyz=1$ Of these statements: I and II are correct II and III are correct Only I is correct All I, II and III are correct
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
183
views
cat2010
quantitative-aptitude
algebra
0
votes
0
answers
8
CAT 2010 | Question: 5
A pole has to be erected on the boundary of a circular park of diameter $13$ meters in such a way that the difference of its distances from two diametrically opposite fixed gates $\text{A}$ and $\text{B}$ on the boundary is $7$ meters. The distance of the pole from one of the gates is: $8$ metres $8.25$ metres $5$ metres None these
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
284
views
cat2010
quantitative-aptitude
geometry
1
vote
1
answer
9
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 $\frac{2-x}{(1-x)^{3}}$ $\frac{2-x}{(1+x)^{3}}$ $\frac{2+x}{(1-x)^{3}}$ $\frac{2+x}{(1+x)^{3}}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
273
views
cat2010
quantitative-aptitude
infinite-geometric-progression
1
vote
1
answer
10
CAT 2010 | Question: 9
If $a, b$ and $c$ are three real numbers, then which of the following is not true? $\mid a+b \mid\leq \mid a \mid+\mid b \mid$ $\mid a – b \mid \leq \mid a \mid + \mid b\mid$ $\mid a-b \mid \leq \mid a \mid -\mid b \mid$ $\mid a-c \mid \leq \mid a-b \mid+\mid b-c \mid$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
166
views
cat2010
quantitative-aptitude
absolute-value
0
votes
0
answers
11
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
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
160
views
cat2010
quantitative-aptitude
functions
1
vote
1
answer
12
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: $2\:\log\left ( c-b \right )$ $2\:\log\left ( a-c\right )$ $2\:\log\left ( c-a\right )$ $\log\:a+\log\:b+\log\:c$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
400
views
cat2010
quantitative-aptitude
logarithms
1
vote
1
answer
13
CAT 2010 | Question: 14
If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be $\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$ $\log_{a}24$ $1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$ $1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
258
views
cat2010
quantitative-aptitude
logarithms
0
votes
0
answers
14
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. ... $\left ( y-z \right )\left ( z-y \right )$ $\left ( y-z \right )\left ( x-z \right )$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
207
views
cat2010
quantitative-aptitude
percentage
1
vote
1
answer
15
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? $x^{2}-y^{2}=0$ $(x-k)^{2}+y^{2}=1$ $2$ $0$ $\sqrt{2}$ $\sqrt{-2}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
1.2k
views
cat2010
quantitative-aptitude
quadratic-equations
0
votes
0
answers
16
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} = $ $1+\sqrt{5}$ $1-\sqrt{5}$ $\sqrt{7}$ $2\sqrt{7}$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
131
views
cat2010
quantitative-aptitude
geometry
0
votes
0
answers
17
CAT 2010 | Question: 22
The colour black is an example of A surface colour An achromatic colour An organic colour A diffuse colour
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
228
views
cat2010
verbal-ability
appropriate-word
0
votes
0
answers
18
CAT 2010 | Question: 21
According to the passage, lighting engineers need not Plot photometric curves Utilizes photometric data Understand Photometric techniques Have mathematical expertise
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
196
views
cat2010
verbal-ability
passage-reading
1
vote
0
answers
19
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.
Arjun
asked
in
Logical Reasoning
Mar 1, 2020
by
Arjun
8.3k
points
908
views
cat2010
logical-reasoning
statement-follows
0
votes
0
answers
20
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 = $1000$.
Arjun
asked
in
Data Interpretation
Mar 1, 2020
by
Arjun
8.3k
points
213
views
cat2010
data-interpretation
line-graph
0
votes
0
answers
21
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 $5?$ $3$ $7$ $8$ $10$
Arjun
asked
in
Quantitative Aptitude
Mar 1, 2020
by
Arjun
8.3k
points
485
views
cat2010
quantitative-aptitude
permutation-combination
0
votes
0
answers
22
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 ... $317.14,158.57,94.64,189.28$ $311.14,159.57,90.64,198.28$ $321.14,162.57,84.46,175.38$
Arjun
asked
in
Logical Reasoning
Mar 1, 2020
by
Arjun
8.3k
points
205
views
cat2010
logical-reasoning
logic-puzzles
0
votes
0
answers
23
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
148
views
cat2010
verbal-ability
passage-reading
appropriate-word
0
votes
0
answers
24
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.
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
228
views
cat2010
verbal-ability
passage-reading
appropriate-word
0
votes
0
answers
25
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.
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
173
views
cat2010
verbal-ability
appropriate-word
passage-reading
0
votes
0
answers
26
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
222
views
cat2010
verbal-ability
passage-reading
appropriate-word
0
votes
0
answers
27
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,
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
219
views
cat2010
verbal-ability
passage-reading
appropriate-word
0
votes
0
answers
28
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.
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
138
views
cat2010
verbal-ability
passage-reading
0
votes
0
answers
29
CAT 2010 | Question: 23
Paint is an example of a substance containing Inorganic material Body colours Surface colours Metallic colours
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
196
views
cat2010
verbal-ability
appropriate-word
1
vote
1
answer
30
CAT 2010 | Question: 33
Infer ... $\text{A-H; B-G; C-F; D-E}$ $\text{A-E; B-F; C-G; D-H}$
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
290
views
cat2010
verbal-ability
match-the-following
0
votes
0
answers
31
CAT 2010 | Question: 34
Catch ... $\text{A-G; B-F; C-E; D-H}$ $\text{A-G; B-H; C-F; D-E}$
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
128
views
cat2010
verbal-ability
match-the-following
0
votes
0
answers
32
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
292
views
cat2010
verbal-ability
sentence-formation
fill-the-blank
0
votes
0
answers
33
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
336
views
cat2010
verbal-ability
sentence-correction
0
votes
0
answers
34
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
174
views
cat2010
verbal-ability
fill-the-blank
0
votes
0
answers
35
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
143
views
cat2010
verbal-ability
fill-the-blank
0
votes
0
answers
36
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
Arjun
asked
in
Data Interpretation
Mar 1, 2020
by
Arjun
8.3k
points
221
views
cat2010
data-interpretation
0
votes
0
answers
37
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
215
views
cat2010
verbal-ability
appropriate-word
0
votes
0
answers
38
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
146
views
cat2010
verbal-ability
appropriate-word
0
votes
0
answers
39
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
179
views
cat2010
verbal-ability
sentence-formation
0
votes
0
answers
40
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
Arjun
asked
in
English Language
Mar 1, 2020
by
Arjun
8.3k
points
200
views
cat2010
verbal-ability
sentence-formation
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