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Recent questions tagged cat2007

2 votes
1 answer
59
CAT 2007 | Question: 25
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$ $80$ $240$ $200$ $100$ $120$
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$$80$$240$$200$$100$$120$
3 votes
2 answers
63
CAT 2007 | Question: 21
How many pairs of positive integers, $m, n$ satisfy $1/m +4/n=1/12$ where $n$ is an odd integer less than $60?$ $6$ $4$ $7$ $5$ $3$
How many pairs of positive integers, $m, n$ satisfy $1/m +4/n=1/12$ where $n$ is an odd integer less than $60?$$6$$4$$7$$5$$3$
1 votes
1 answer
64
CAT 2007 | Question: 20
Suppose you have a currency, named Miso, in three denominations. $1$ Miso, $10$ Misos and $50$ Misos. In how many ways you can pay a bill of $107$ Misos? $17$ $16$ $18$ $15$ $19$
Suppose you have a currency, named Miso, in three denominations. $1$ Miso, $10$ Misos and $50$ Misos. In how many ways you can pay a bill of $107$ Misos?$17$$16$$18$$15$$...
0 votes
1 answer
68
CAT 2007 | Question: 11
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n > 5$. Each team consists of $k$ players, $k>3$ ... in the tournament, considering all the $n$ teams together? $n(k-1)$ $k(n-1)$ $n(k-2)$ $k(k-2)$ $(n-1) (k-1)$
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n 5$. Each team consists of $k$ players, $k>3$. The following pairs of teams have one player in common:$...
1 votes
1 answer
69
CAT 2007 | Question: 10
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $0$ $1$
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?$3$$2$$4$$0$$1$
2 votes
1 answer
74
CAT 2007 | Question: 02
A quadratic function f(x) attains a maximum of $3$ at $x=1.$ The value of the function at $x=0$ is $1.$ What is the value of $f(x)$ at $x=10?$ $-119$ $-159$ $-110$ $-180$ $-105$
A quadratic function f(x) attains a maximum of $3$ at $x=1.$ The value of the function at $x=0$ is $1.$ What is the value of $f(x)$ at $x=10?$$-119$$-159$$-110$$-180$$-10...
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