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Recent activity by Vijay Thakur

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HCF and LCM
Calculate number of pairs Whose LCM is 800 and HCF is 20
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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 val...
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CAT 2004 | Question: 66
Consider the sequence of the numbers $a_1, a_2, a_3, \dots$ to infinity where $a_1 = 81.33$ and $a_2 = -19$, and $a_j = a_{j-1} - a_{j-2}$ for $j \geq 3$. What is the sum...
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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$$120$
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CAT 2008 | Question: 10
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$.What is the ot...
1 answers 1 answer
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CAT 2008 | Question: 14
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$$-\frac{1}{\sqrt{3} }$$-1$$0$$1$$\frac...