Recent questions tagged cat2009 / Aptitude Overflow

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41

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, what are their respective expectations. $\text{Rs.}\; 7, \text{Rs.}\; 4$ $\text{Rs.}\; 6, \text{Rs.}\; 5$ $\text{Rs.}\; 4, \text{Rs.}\; 7$ $\text{Rs.}\; 5, \text{Rs.}\; 6$

$\text{A}$ 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...

makhdoom ghaya

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makhdoom ghaya asked Jan 1, 2016

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42

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. $p^{2}(4p-3)$ $p^{3}(4p-3)$ $p(4p-3)$ $p^{3}$

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^...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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43

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 $\pi=3$) $100$ sq. units $114$ sq. units $50$ sq. units $200$ sq. units

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...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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44

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-posts are $60^{\circ}$ and $30^{\circ}$. Find the distance of $\text{P}$ from the lamp-post which makes angle of $60^{\circ}$. $25$ m $12.5$ m $16.5$ m $20.5$ m

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-...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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45

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 $y$. $\frac{x^{1/2} y^{1/3}}{x^{1/2}+y^{1/3}-1}$ $\frac{xy}{x+y-1}$ $\frac{x^{1/3}y^{2/3}}{x^{1/3}+y^{1/2}-1}$ None of these.

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...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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46

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 $1$ minute $52$ seconds Data inadequate.

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...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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47

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 $5^{\text{th}}$ minute, for the first time after the start of the race. All the runners ... runner, what is the time taken by the fastest runner to finish the race? $20$ mins $15$ mins $10$ mins $5$ mins

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 ...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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48

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 an hour. Find the average rate of sailing that she may just reach the shore as she begins to sink. $5.5$ km/h $6.5$ km/h $7.5$ km/h $8.5$ km/h

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 ...

makhdoom ghaya

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makhdoom ghaya asked Dec 31, 2015

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1 answer

49

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 server at $11:00$ am, and one technician per hour is added beginning at $5:00$ pm, at what time will the server be completed? $6:40$ pm $7:00$ pm $7:20$ pm $8:00$ pm

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...

makhdoom ghaya

8.1k points

866 views

makhdoom ghaya asked Dec 31, 2015

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1 answer

50

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 withdrawn $\text{Rs.}\; 5000$. Three years ago he had not withdrawn any money. How much money had he ... simple interest is $10\%?$ $\text{Rs.}\; 15600$ $\text{Rs.}\; 16500$ $\text{Rs.}\; 17280$ None of these.

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...

makhdoom ghaya

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950 views

makhdoom ghaya asked Dec 31, 2015

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