Recent questions tagged cat2011 / Aptitude Overflow

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1

CAT 2011 | Question: 4
$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$ If $f_1(1)=0$, then what is $f_{50}(1)$? $-18$ $-16$ $-17$ Cannot be determined

$\begin{array}{}Let\;f_{n+1}(x)&=f_n(x)+1\;\text{if $n$ is a multiple of 3}\\ &=f_n(x)-1\;\text{otherwise.}\end{array}$If $f_1(1)=0$, then what is $f_{50}(1)$?$-18$$-16$$...

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2

CAT 2011 | Question: 6
Vaibhav wrote a certain number of positive prime numbers on a piece of paper. Vikram wrote down the product of all the possible triplets among those numbers. For every pair of numbers written by Vikram, Vishal wrote down the corresponding $\text{GCD}.$ If $90$ of the numbers written by Vishal were prime, how many numbers did Vaibhav write? $6$ $8$ $10$ Cannot be determined

Vaibhav wrote a certain number of positive prime numbers on a piece of paper. Vikram wrote down the product of all the possible triplets among those numbers. For every pa...

Krithiga2101

298 points

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3

CAT 2011 | Question: 5
On a plate in the shape of an equilateral triangle $\text{ABC}$ with area $16\sqrt 3\;\text{sq cm}$, a rod $\text{GD}$, of height $8\:\text{cm}$, is fixed vertically at the centre of the triangle. $\text{G}$ ... of the triangle $\text{CGD}\:\text{(in sq cm)}$. $3 \sqrt {19}$ $4 \sqrt {19}$ $12 \sqrt {3}$ None of these

On a plate in the shape of an equilateral triangle $\text{ABC}$ with area $16\sqrt 3\;\text{sq cm}$, a rod $\text{GD}$, of height $8\:\text{cm}$, is fixed vertically at t...

Krithiga2101

298 points

1.3k views

Krithiga2101 asked Mar 9, 2020

1 votes

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4

CAT 2011 | Question: 3
Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commision and cost. His commission is fixed and equals $ ₹560$ per assignment while the cost equals $ ₹2n^2$ where, $n$ is the total number of chairs he makes. If for a certain ... $13\:\text{and}\:19$ $13\:\text{and}\:20$ $14\:\text{and}\:19$ $14\:\text{and}\:20$

Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commision and cost. His commission is fixed and equals $ ₹560$...

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298 points

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5

CAT 2011 | Question: 2
Rajat draws a $10\times10$ grid on the ground such that there are $100$ identical squares numbered $1\:\text{to}\:100$. If he has to place two identical stones on any two separate squares in the grid, how many distinct ways are possible? $2475$ $4950$ $9900$ $1000$

Rajat draws a $10\times10$ grid on the ground such that there are $100$ identical squares numbered $1\:\text{to}\:100$. If he has to place two identical stones on any two...

Krithiga2101

298 points

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6

CAT 2011 | Question: 1
The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all? $4008$ $2003$ $2004$ None of these

The values of the numbers $2^{2004}\:\text{and}\:5^{2004}$ are written one after another. How many digits are there in all?$4008$$2003$$2004$None of these

Krithiga2101

298 points

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Krithiga2101 asked Mar 9, 2020

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7

CAT 2011 | Question: 14
In the figure alongside, $\text{O}$ is the centre of the circle and $\text{AC}$ is the diameter. The line $\text{FEG}$ is tangent to the circle at $\text{E}$. If $\angle \text{GEC}= 52^{\circ}$, find the value of $\angle e+\angle c.$ $154^{\circ}$ $156^{\circ}$ $166^{\circ}$ $180^{\circ}$

In the figure alongside, $\text{O}$ is the centre of the circle and $\text{AC}$ is the diameter. The line $\text{FEG}$ is tangent to the circle at $\text{E}$. If $\angle ...

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298 points

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8

CAT 2011 | Question: 10
In the figure alongside, $\triangle \text{ABC}$ is equilateral with area $\text{S. M}$ is the mid-point of $\text{BC and P}$ is a point on $\text{AM}$ extended such that $\text{MP = BM}$. If the semi-circle on $\text{AP intersects CB}$ extended at $\text{Q}$ and the area of a ... true? $\text{T} = \sqrt{2}\; \text{S}$ $\text{T = S}$ $T = \sqrt{3}\; \text{S}$ $\text{T = 2S}$

In the figure alongside, $\triangle \text{ABC}$ is equilateral with area $\text{S. M}$ is the mid-point of $\text{BC and P}$ is a point on $\text{AM}$ extended such that ...

Krithiga2101

298 points

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9

CAT 2011 | Question: 13
Auto fare in Bombay is $₹\:2.40$ for the first $1\:\text{km}$,$₹\:2.00$ per km for the next $4\:\text{km}$ and $1.20$ for each additional km thereafter. Find the fare in rupees for $k\:\text{km}(k\geq5)$. $2.4k+1.2(2k-3)$ $10.4+1.2(k-5)$ $2.4+2(k-3)+1.2(k-5)$ $10.4+1.2(k-4)$

Auto fare in Bombay is $₹\:2.40$ for the first $1\:\text{km}$,$₹\:2.00$ per km for the next $4\:\text{km}$ and $1.20$ for each additional km thereafter. Find the fare...

Krithiga2101

298 points

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10

CAT 2011 | Question: 12
One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while the second was empty. First he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the ... $25$% ? $42\frac{6}{7}\%$ $66\frac{2}{3}\%$ $83\frac{1}{3}\%$ $100\%$

One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while...

Krithiga2101

298 points

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11

CAT 2011 | Question: 11
One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while the second was empty. First he transferred an arbitrary amount of petrol from the first tank into the second ... be the concentration of petrol in the second tank? $50\%$ $60\%$ $66\frac{2}{3}\%$ $80\%$

One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while...

Krithiga2101

298 points

990 views

Krithiga2101 asked Mar 9, 2020

1 votes

1 answer

12

CAT 2011 | Question: 9
Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$. $18$ $20$ $24$ $30$

Let $\text{S}_n$ denote the sum of the squares of the first $n$ odd natural numbers. If $\text{S}_n=533n,$ find the value of $n$.$18$$20$$24$$30$

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298 points

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13

CAT 2011 | Question: 8
There are two water drums in my house whose volumes are in the ratio $1: 5$. Every day the smaller drum is filled first and then the same pipe is used to fill the bigger drum. Normally by the time I return from my college, i.e., at $1: 30$ pm, the smaller drum would ... was the smaller drum full? $1 : 18\;\text{pm}$ $1 : 28\;\text{pm}$ $1 : 26\;\text{pm}$ Cannot be determined

There are two water drums in my house whose volumes are in the ratio $1: 5$. Every day the smaller drum is filled first and then the same pipe is used to fill the bigger ...

Krithiga2101

298 points

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Krithiga2101 asked Mar 9, 2020

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14

CAT 2011 | Question: 7
Two cars $\text{A}$ and $\text{B}$ start from two points $\text{P}$ and $\text{Q}$ respectively towards each other simultaneously. After travelling some distance, at a point $\text{R}$, car $\text{A}$ develops engine trouble. It continues to travel at $\text{2/3 rd}$ of its usual ... $\text{A}$ and $\text{B}$. $4:1$ $2:1$ $3:1$ $3:2$

Two cars $\text{A}$ and $\text{B}$ start from two points $\text{P}$ and $\text{Q}$ respectively towards each other simultaneously. After travelling some distance, at a po...

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298 points

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15

CAT 2011 | Question: 17
The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true? $g(x)=[f(x)]$ $g(x)=f(-x)$ $g(x)=-f(x)$ None of these

The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true?$g(x)=[f(x)]$$g(x)=f(-x)$$g(x)=-f(x)$None of thes...

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298 points

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16

CAT 2011 | Question: 19
$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of $1.4$ m/s while $\text{B}$ walks at a speed of $2.1$ ... which of the following is true of the distance of closest approach $ d_1\text{'}$ between them? $d_1>5$ m $d_1<5$ m $d_1=5$ m Cannot be determined

$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of $1....

Krithiga2101

298 points

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17

CAT 2011 | Question: 18
$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of $1.4$ m/s while $\text{B}$ walks at a speed of $2.1$ m/s. If $\text{A}$ ... each other and finally meet at a point $\text{Q,}$ then find the distance $\text{PQ}.$ $13$ m $12\sqrt 3$ m $15$ m $13\sqrt 2$ m

$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of $1....

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298 points

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18

CAT 2011 | Question: 20
Consider the function given by $f(x) =\mid x-1\mid-x$ What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\text{and}\:y=0$? $2$ $\large\frac{1}{4}$ $\large\frac{1}{2}$ $1$

Consider the function given by $f(x) =\mid x-1\mid-x$What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\...

Krithiga2101

298 points

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19

CAT 2011 | Question: 16
Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that ... the correct value, In the above question what is the minimum possible value of $d?$ $4.56$ $5.56$ $6.56$ $3.56$

Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the n...

Krithiga2101

298 points

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20

CAT 2011 | Question: 15
Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that ... $d?$ $6.28$ $7.28$ $7.56$ $8.56$

Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the n...

Krithiga2101

298 points

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Krithiga2101 asked Mar 9, 2020

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21

CAT 2011 | Question: 22
Study the following table and answer the questions that follow. Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ ... the average disbursement of loans record the highest percentage increase over that of the previous year? $1984$ $1986$ $1985$ $1983$

Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ Crore)$$\begin{array}{|c|c|c|}\hline...

Krithiga2101

298 points

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22

CAT 2011 | Question: 21
Consider the function given by $f(x) =\mid x-1\mid-x$ Which of the following is not true about the graph of $f(x)$? A portion of the graph is parallel to the line $y = 25$. A portion of graph is in 2nd quadrant. Some portion of graph lies in 1st quadrant. Some portion of graph lies in 3rd quadrant.

Consider the function given by $f(x) =\mid x-1\mid-x$Which of the following is not true about the graph of $f(x)$?A portion of the graph is parallel to the line $y = 25$....

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298 points

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23

CAT 2011 | Question: 24
Study the following table and answer the questions that follow. Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ ... . Which of the banks qualify as on the year $1986?$ $\text{A}$ $\text{B}$ $\text{C}$ None of these

Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ Crore)$$\begin{array}{|c|c|c|}\hline...

Krithiga2101

298 points

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Krithiga2101 asked Mar 7, 2020

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24

CAT 2011 | Question: 23
Study the following table and answer the questions that follow. Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ ... for that year the lowest? $\text{C}, 1986$ $\text{B}, 1984$ $\text{C}, 1985$ $\text{A}, 1985$

Study the following table and answer the questions that follow.Disbursement of Loans by Various Banks from $1982$ to $1986$ (In $₹$ Crore)$$\begin{array}{|c|c|c|}\hline...

Krithiga2101

298 points

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25

CAT 2011 | Question: 25
Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$ If atleast $5\%$ of the time spent on each area of study was spent on solved examples of that area, then the time spent on solved examples in any ... on that area of study, is at most. $21\frac{1}{6}\%$ $30\%$ $38\frac{1}{3}\%$ $55\%$

Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$ ...

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298 points

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26

CAT 2011 | Question: 26
Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$ The number of areas of study for which the critical analysis was done at friends’ place alone is at most $2$ $3$ $5$ $6$

Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$The number of areas of study ...

Krithiga2101

298 points

495 views

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27

CAT 2011 | Question: 30
When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. The class comprised of exactly $10$ students. The test contain exactly $10$ ... questions- I through X. Who are the jigris of Chinky? Niran and Rahul Rahul and Sastry Sastry and Lucky Cannot be determined

When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. ...

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298 points

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28

CAT 2011 | Question: 29
When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. The class comprised of exactly $10$ students. The test contain exactly $10$ ... questions- I through X. Who among the following is not the jigri of any of the ten students? Jassi Praveen Lucky Rahul

When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. ...

Krithiga2101

298 points

754 views

Krithiga2101 asked Mar 7, 2020

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29

CAT 2011 | Question: 28
When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. The class comprised of exactly $10$ students. The test contain exactly $10$ ... the $10$ questions- I through X. Munna is the jigri of Sastry and Ritesh Niran and Praveen Lucky and Rahul Jassi an Lucky

When Munna Bhai joined the university of South Ghatkopar for his M.S., Mr. Irani, his professor, asked him to prove his calibre in a test conducted for the entire class. ...

Krithiga2101

298 points

406 views

Krithiga2101 asked Mar 7, 2020

1 votes

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30

CAT 2011 | Question: 27
Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$ At the most what percentage of total time was spent on test taken in VA and LA? $10\%$ $20\%$ $66\frac{2}{3}\%$ $100\%$

Each of the following pie charts gives the percentage split up of the total time spent by a certain student towards preparation of CAT $2005$At the most what percentage o...

Krithiga2101

298 points

578 views

Krithiga2101 asked Mar 7, 2020

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31

CAT 2011 | Question: 31
Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical oder of sentences from among the four given choices to construct a coherent paragraph. Paucity of serious thought is no surprise in the ... only? SC/ST's deserve them more. $\text{ABCD}$ $\text{CDBA}$ $\text{DABC}$ $\text{ACBD}$

Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical oder of sentences from...

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298 points

596 views

Krithiga2101 asked Mar 7, 2020

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32

CAT 2011 | Question: 37
Given below are sentences, each using the question word different ways. Identify the sentence which uses the question word in a grammatically incorrect manner. Happen Accept it, mistakes will happen It happened on a system that worked I promise nothing will happen to you If so happens I’m going your way

Given below are sentences, each using the question word different ways. Identify the sentence which uses the question word in a grammatically incorrect manner.HappenAccep...

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298 points

450 views

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33

CAT 2011 | Question: 36
In the following question, four different sentences are given. Choose the option that contains the grammatically incorrect sentence/s. He is feeling that this relocation is nothing but the kick upstairs. Consensus is now emerging at our state and national levels. A more and more ... to escape. It happened up on a system that worked. I, IV I, II, III I, III, IV I, III

In the following question, four different sentences are given. Choose the option that contains the grammatically incorrect sentence/s.He is feeling that this relocation i...

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298 points

384 views

Krithiga2101 asked Mar 7, 2020

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34

CAT 2011 | Question: 35
The question given below consists of a sentence which is divided into four parts, numbered (A) through (D). Only one part in the sentence is not acceptable in standard written English. Identify that part in the sentences which contains the error. Her acceptance of speech Was well received Eliciting thunderous applause At several points

The question given below consists of a sentence which is divided into four parts, numbered (A) through (D). Only one part in the sentence is not acceptable in standard wr...

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298 points

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35

CAT 2011 | Question: 34
Each question consists of sentences, which have one or two blanks, each blank indicating that something has been omitted. Below each sentence are four numbered words or sets of words labelled (A) through (D). Choose the set of words ... things explicitly, but suggests, a likeness between them. sarcastic...unfair blatant...overt metaphorical...implied sanguine...inherent

Each question consists of sentences, which have one or two blanks, each blank indicating that something has been omitted. Below each sentence are four numbered words or s...

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298 points

356 views

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36

CAT 2011 | Question: 33
In the given question, all the sentences except one sentence,when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the sentence which does not form a part of the paragraph from among the four given choices. The revolution called Human ... hired hands subject to the orders of managers. $\text{A}$ $\text{B}$ $\text{C}$ $\text{D}$

In the given question, all the sentences except one sentence,when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the sentenc...

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298 points

397 views

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37

CAT 2011 | Question: 32
Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from among the four given choices to construct a coherent paragraph. Overcoming the handicap of crushing poverty, he ... even found its way to the court. $\text{ACDB}$ $\text{BDAC}$ $\text{ACBD}$ $\text{BACD}$

Sentences given in the question, when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences fro...

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298 points

472 views

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38

CAT 2011 | Question: 41
Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below. The remake the world (including Nature), Fourier mobilised : an intolerance (for civilisation), a form ( ... excess of the order. The excess : what does not pass through. The vomiting of politics is what Fourier calls Invention

Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below.The remake the world (inc...

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298 points

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39

CAT 2011 | Question: 40
Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below. So the unpleasant shocks that used to affect other people now affect us. Few of us have not been touched ... in business Another is the fact that there are more scientists alive today than ever lived in the history of the world.

Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below.So the unpleasant shocks ...

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40

CAT 2011 | Question: 39
Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below. The real change in corporate culture began with the personal computer. With the PC, any employee ... PCs to their corporate mainframes, but primarily as replacements for dumb terminals. Some users, however, were more creative.

Given below is a paragraph whose last line is missing. Choose the line which completes the paragraph most logically from the options given below.The real change in corpor...

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298 points

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Krithiga2101 asked Mar 7, 2020

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true