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2 2 votes
1 answers 1 answer
2.3k
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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 ot...
0 0 votes
1 1 answer
7.9k
7.9k views
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. ...
0 0 votes
1 1 answer
1.7k
1.7k views
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} }$$2008 - \frac{...
0 0 votes
1 1 answer
1.4k
1.4k views
CAT 2008 | Question: 07
In a triangle $\text{ABC}$, the lengths of the sides $\text{AB}$ and $\text{AC}$ equal $17.5$ cm and $9$ cm respectively. Let $\text{D}$ be a point on the line segment $\...
0 0 votes
1 1 answer
1.9k
1.9k views
CAT 2008 | Question: 05
Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of t...
0 0 votes
2 answers 2 answers
2.5k
2.5k views
CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$
5 5 votes
2 2 answers
9.4k
9.4k views
CAT 2008 | Question: 03
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...
0 0 votes
1 1 answer
2.2k
2.2k views
CAT 2008 | Question: 02
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$
1 1 vote
1 answers 1 answer
1.8k
1.8k views
CAT 2008 | Question: 01
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...
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