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1 answer
5523
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
5524
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
5529
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$$-10...
0 votes
1 answer
5543
check the question
How many 3-digit numbers can be formed from the digits 2,3,5,6,7 and 9,which are divisible by 5 and none of the digits is repeated ?
How many 3-digit numbers can be formed from the digits 2,3,5,6,7 and 9,which are divisible by 5 and none of the digits is repeated ?
1 votes
1 answer
5553
CAT 2008 | Question: 19
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist? $5$ $21$ $10$ $15$ $14$
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist?$5$$21$$10$$15$$14$
0 votes
1 answer
5557
CAT 2008 | Question: 14
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$ $-\frac{1}{\sqrt{3} }$ $-1$ $0$ $1$ $\frac{1}{\sqrt{3} }$
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$$-\frac{1}{\sqrt{3} }$$-1$$0$$1$$\frac...
2 votes
1 answer
5558
CAT 2008 | Question: 13
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$ $0$ $\frac{1}{4}$ $\frac{1}{2}$ $1$ cannot be determined
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$$0$$\frac{1}{4}$$\frac{1}{2...
0 votes
2 answers
5559
CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is $78$ $19$ $20$ $27$ $22$
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
2 votes
1 answer
5560
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 other root of $f(x)=0?$ $-7$ $-4$ $2$ $6$ 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 ot...
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