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CAT 2006 | Question: 32
The following paragraph from which the last sentence has been deleted. From the given options, choose the one that completes the paragraph in the most appropriate way.Rel...
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CAT 2006 | Question: 75
An equilateral triangle $\text{BP}$ is drawn inside a square $\text{ABCD}.$ What is the value of the angle $\text{APD}$ in degrees?$75$$90$$120$$135$$150$
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CAT 2006 | Question: 74
If $\log_y x = a \cdot \log_z y = b \cdot \log_x z = ab$ then which of the following pairs of values for $(a,b)$ is not possible?$-2, 1/2$$1,1$$0.4, 2.5$$\pi, 1/\pi$$2,2...
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CAT 2006 | Question: 73
The number of employees in Obelix Menhor Co. is a prime number and is less than $300.$ The ratio of the number of employees who are graduates and above, to that of employ...
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CAT 2006 | Question: 72
There are $6$ tasks and $6$ persons. Task $1$ cannot be assigned either to person $1$ or to person $2.$ Task $2$ must be assigned either to person $3$ or person $4.$ Ever...
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CAT 2006 | Question: 71
A semi-circle is drawn with $\text{AB}$ as its diameter. From $\text{C}$, a point on $\text{AB,}$ a line perpendicular to $\text{AB}$ is drawn meeting the circumference o...
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CAT 2006 | Question: 70
When you reverse the digits of the number $13,$ the number increases by $18.$ How many other two digit numbers increase by $18$ when their digits are reversed?$5$$6$$7$$8...
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CAT 2006 | Question: 69
Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of $30, 40$ and $60$ km per hour respectively. Barun starts two hours after...
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CAT 2006 | Question: 67
The below question are based on the information given below:An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two pas...
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CAT 2006 | Question: 66
Let $f(x) = \max (2x +1, 3 – 4x)$ where $x$ is any real number. Then the minimum possible value of $f(x)$ is:$1/3$$1/2$$2/3$$4/3$$5/3$
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CAT 2006 | Question: 65
What values of $x$ satisfy $x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 \leq 0?$$-8 \leq x \leq 1$$-1 \leq x \leq 8$$1 < x < 8$$1 \leq x \leq 8$$-8 \leq x \leq 8$
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CAT 2006 | Question: 63
Below question is on the basis of information given below:A punching machine is used to punch a circular hole of diameter $2$ units from a square sheet of aluminium of wi...
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CAT 2006 | Question: 62
Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$...
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CAT 2006 | Question: 61
The graph $y-x$ against $y +x$ is as shown as below. (all graphs in this question are drawn to scale and the same scale has been used on each axis).Then, Which of the opt...
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CAT 2006 | Question: 60
The sum of four consecutive two digit odd numbers, when divided by $10,$ becomes a perfect square. Which of the following can possibly be one of these four numbers?$21$$2...
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CAT 2006 | Question: 59
A survey was conducted of $100$ people to find out whether that had read recent issue of Golmol, a monthly magazine. The summarized information regarding readership in $3...
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CAT 2006 | Question: 58
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x \leq y$ is:$7$$13$$14$$18$$20$
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CAT 2006 | Question: 57
What are the values of $x$ and $y$ that satisfy both the equations?$2^{0.7x} \cdot 3^{-1.25y} = 8\sqrt{6} / 27$$4^{0.3x} \cdot 9^{0.2y} = 8.(81)^{\frac{1}{5}}$$x=2, y=5$$...
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CAT 2006 | Question: 56
A group of $630$ children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What numbers of rows is ...
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CAT 2006 | Question: 55
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals:$2/4...
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CAT 2006 | Question: 54
The length, breadth and height of a room are in the ration $3:2:1.$ If the breadth and height are halved while the length is doubled, then the total area of the four wall...
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CAT 2006 | Question: 53
If $a/b=1/3, b/c=2, c/d=1/2, d/e=3$ and $e/f=1/4$ then what is the value of $abc/def?$$3/8$$27/8$$3/4$$27/4$$1/4$
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CAT 2006 | Question: 52
Which among $2^{\frac{1}{2}} , 3^{\frac{1}{3}}, 4^{\frac{1}{4}}, 6^{\frac{1}{6}} \text{ and } 12^{\frac{1}{12}}$ is the largest?$2^{\frac{1}{2}}$$3^{\frac{1}{3}}$$4^{\fra...
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CAT 2006 | Question: 51
If $x=-0.5$ then which of the following has the smallest value?$2^{\frac{1}{x}}$$\frac{1}{x}$$\frac{1}{x^2}$$2^x$$\frac{1}{\sqrt{-x}}$
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CAT 2006 | Question: 46
Read the passage and answer the question.Our propensity to look out for regularities, and to impose laws upon nature, leads to the psychological phenomenon of dogmatic th...
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CAT 2006 | Question: 41
Read the passage and answer the question.My aim is to present a conception of justice which generalizes and carries to a higher level of abstraction the familiar theory o...
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CAT 2006 | Question: 39
Read the passage and answer the question.Fifteen years after communism was officially pronounced dead, its spectre seems once again to be haunting Europe. , Last month, t...
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CAT 2006 | Question: 36
Read the passage and answer the question.Fifteen years after communism was officially pronounced dead, its spectre seems once again to be haunting Europe. , Last month, t...
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CAT 2006 | Question: 31
The following paragraph from which the last sentence has been deleted. From the given options, choose the one that completes the paragraph in the most appropriate way.I a...
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CAT 2006 | Question: 26
The following question has a set of sequentially ordered statements. Each statement can be classified as one of the following:Facts, which deals with the pieces of inform...
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CAT 2006 | Question: 21
Answer the questions based on the information given below:K, L, M, N, P, Q, R, S, U and W are the only ten members in the department. There is a proposal to form a team f...
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CAT 2006 | Question: 16
Answer the question based on the information given below:A significant amount of traffic flows from point S to point T in the one-way street network shown below. Points A...
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CAT 2006 | Question: 11
Answer the question based on the information given below:Two traders, Chetan and Michael, were involved in the buying and selling of MCS shares over five trading days. At...
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CAT 2006 | Question: 6
Answer the questions based on the information given below:Mathematicians are assigned a number called Erdos number, (named after the famous mathematician, Paul Erdos). On...
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CAT 2006 | Question: 1
Answer the given question based on the information given belowIn a Class X Board examination, ten papers are distributed over five groups i.e., PCB, Mathematics, Social S...
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