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CAT 2009 | Question: 20
$\text{A}$ and $\text{B}$ throw with one dice for a stake of $\text{Rs.}\;11$ which is to be won by the player who first throw $6$. If $\text{A}$ has the first throw, wha...
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CAT 2009 | Question: 19
There are three coplanar parallel lines. If any $p$ points are taken on each of the lines, then find the maximum number of triangles with the vertices of these points.$p^...
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CAT 2009 | Question: 18
M is the center of the circle. $l(\text{QS})=10 \sqrt{2},l (\text{PR}) = l(\text{RS})$ and $\text{PR} \| \text{QS}$. Find the area of the shaded region. (use $\pi=3$)$100...
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CAT 2009 | Question: 17
Two vertical lamp-posts of equal height stand on either side of a road $50$ m wide. At a point $\text{P}$ on the road between them, the elevation of the tops of the lamp-...
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CAT 2009 | Question: 16
If $x=1+2a+3a^{2}+4a^{2}+\dots(-1 < a < 1)$ and$y=1+3b+6b^{2}+10b^{3}+\dots(-1 < b < 1),$then find $1+ab+(ab)^{2}+(ab)^{3}+\dots$ in terms of $x$ and $y$.$\frac{x^{1/2} y...
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CAT 2009 | Question: 15
A train crosses a platform $100$ meters long in $60$ seconds at a speed of $45$ km per hour. The time taken by the train to cross an electric pole, is$8$ seconds$1$ minut...
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CAT 2009 | Question: 14
In a $400$ meter race around a circular stadium having a circumference of $1000$ meters, the fastest runner and the slowest runner reach the same point at the end of the ...
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CAT 2009 | Question: 13
A ship $55$ kms, from the shore springs a leak which admits $2$ tonnes of water in $6$ min; $80$ tonnes would suffer to sink her, but the pumps can throw out $12$ tonnes ...
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CAT 2009 | Question: 12
It takes $6$ technicians a total of $10$ hours to build a new server from direct computer, with each working at the same rate. If six technicians start to build the serve...
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CAT 2009 | Question: 11
A person closes his account in an investment scheme by withdrawing $\text{Rs.}\; 10,000$. One year ago he had withdrawn $\text{Rs.}\; 6000$. Two years ago he had withdraw...
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