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Recent questions tagged cat2008
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81
CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is $78$ $19$ $20$ $27$ $22$
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
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13.8k
points
1.1k
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
sequences&series
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–
2
votes
1
answer
82
CAT 2008 | Question: 10
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$. What is the other root of $f(x)=0?$ $-7$ $-4$ $2$ $6$ cannot be determined
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$.What is the ot...
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13.8k
points
884
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
quadratic-equations
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–
0
votes
1
answer
83
CAT 2008 | Question: 09
A shop stores $x$ kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. There after no rice left in the ... $5 \leq x \leq 8$ $9 \leq x \leq 12$ $11 \leq x \leq 14$ $13 \leq x \leq 18$
A shop stores $x$ kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. ...
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13.8k
points
5.7k
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
cost-price-selling-price
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–
0
votes
0
answers
84
CAT 2008 | Question: 08
Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$ $2008 - \frac{1}{2008}$ $2007 - \frac{1}{2007}$ $2007 - \frac{1}{2008}$ $2008 - \frac{1}{2007}$ $2008 - \frac{1}{2009}$
Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$$2008 - \frac{...
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13.8k
points
561
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
sequences&series
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–
0
votes
0
answers
85
CAT 2008 | Question: 07
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\text{BC}$ such that $\text{AD}$ is perpendicular to $\text{BC}.$ ... what is the radius (in cm) of the circle circumscribing the triangle $\text{ABC}?$ $17.05$ $27.85$ $22.45$ $32.25$ $26.25$
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\...
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13.8k
points
475
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
geometry
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0
votes
0
answers
86
CAT 2008 | Question: 05
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of the cone. Find the largest possible total surface area (in sq cm) of the cylinder. $\frac{100 \pi}{3}$ $\frac{80 \pi}{3}$ $\frac{120 \pi}{7}$ $\frac{130 \pi}{9}$ $\frac{110 \pi}{7}$
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of t...
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13.8k
points
645
views
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asked
Nov 28, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
mensuration
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–
0
votes
2
answers
87
CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$ $21$ $61$ $01$ $41$ $81$
What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$
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13.8k
points
940
views
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asked
Nov 26, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
number-systems
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–
5
votes
2
answers
88
CAT 2008 | Question: 03
Direction for the question given below The figure below shows the plan of a town. The streets are at right angles to each other. A rectangular park $\text{(P)}$ is situated inside the town with a diagonal road running through it. There is also a prohibited ... the shortest path, then the number of possible shortest paths that she can choose is $60$ $75$ $45$ $90$ $72$
Direction for the question given belowThe figure below shows the plan of a town. The streets are at right angles to each other. A rectangular park $\text{(P)}$ is situate...
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13.8k
points
4.0k
views
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asked
Nov 26, 2015
Logical Reasoning
cat2008
logical-reasoning
logic-puzzles
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–
0
votes
1
answer
89
CAT 2008 | Question: 02
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$ $231$ $253$ $242$ $210$ $228$
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$
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13.8k
points
797
views
go_editor
asked
Nov 26, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
permutation-combination
binomial-theorem
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–
1
votes
1
answer
90
CAT 2008 | Question: 01
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed? $499$ $500$ $375$ $376$ $501$
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...
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13.8k
points
571
views
go_editor
asked
Nov 26, 2015
Quantitative Aptitude
cat2008
quantitative-aptitude
permutation-combination
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