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Recent questions tagged cat2008

1 votes
1 answer
75
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
79
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$$\frac...
2 votes
1 answer
80
CAT 2008 | Question: 13
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$ $0$ $\frac{1}{4}$ $\frac{1}{2}$ $1$ cannot be determined
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$$0$$\frac{1}{4}$$\frac{1}{2...
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