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Recent questions in Quantitative Aptitude

0 votes
1 answer
1524
CAT 2008 | Question: 11
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 value of $a+b+c?$ $9$ $14$ $13$ $37$ 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 val...
1 votes
1 answer
1536
Train Crossing problems
Two trains starting at the same time from two stations 200 km apart, and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds . Explain with proper steps. Answer : 11:9
Two trains starting at the same time from two stations 200 km apart, and going in opposite directions cross each other at a distance of 110 km from one of the stations. W...
2 votes
1 answer
1548
CAT 2001 | Question: 48
Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and $6,$ no digit being repeated in the numbers. What is the value of $n?$ $144$ $168$ $192$ None of these
Let $n$ be the number of different $5$ digit numbers, divisible by $4$ with the digits $1, 2, 3, 4, 5$ and $6,$ no digit being repeated in the numbers. What is the value ...
0 votes
3 answers
1549
CAT 2001 | Question: 47
The figure below shows the network connecting cities A, B, C, D, E and F. The arrows indicate permissible direction of travel. What is the number of distinct paths from A to F? $9$ $10$ $11$ None of these
The figure below shows the network connecting cities A, B, C, D, E and F. The arrows indicate permissible direction of travel. What is the number of distinct paths from A...
1 votes
0 answers
1554
CAT 2001 | Question: 42
Let $b$ be a positive integer and $a = b^2 – b$. If b $\geq$ 4, then $a^2 – 2a$ is divisible by $15$ $20$ $24$ None of these
Let $b$ be a positive integer and $a = b^2 – b$. If b $\geq$ 4, then $a^2 – 2a$ is divisible by$15$$20$$24$None of these
0 votes
0 answers
1555
CAT 2001 | Question: 41
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, in metres, is the walkway? $43$ m $4.3$ m $3$ m $3.5$ m
A rectangular pool $20$ metres wide and $60$ metres long is surrounded by a walkway of uniform width. If the total area of the walkway is $516$ square metres, how wide, i...
1 votes
1 answer
1556
CAT 2001 | Question: 40
Based on the figure below, what is the value of $x,$ if $y = 10?$ $0$ $11$ $12$ None of these
Based on the figure below, what is the value of $x,$ if $y = 10?$$0$$11$$12$None of these
2 votes
1 answer
1558
CAT 2001 | Question: 37
Let $x, y$ be two positive numbers such that $x + y =1.$ Then, the minimum value of $\left(x+ \frac{1}{x} \right)^2 + \left(y + \frac{1}{y}\right)^2$ is $12$ $20$ $12.5$ $13.3$
Let $x, y$ be two positive numbers such that $x + y =1.$ Then, the minimum value of $\left(x+ \frac{1}{x} \right)^2 + \left(y + \frac{1}{y}\right)^2$ is$12$$20$$12.5$$13....
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