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CAT 2002 | Question: 68

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CAT 2020 Set-1 | Question: 68
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is $0$ $40$ $10$ $20$
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CAT 2002 | Question: 92
There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y, Z. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets. How many three-lettered words can be formed such that at least one symmetrical letter is there? $12870$ $18330$ $16420$ None of these
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CAT 2002 | Question: 90
The $n$th element of a series is represented as $X_n = (-1)^n x_{n-1}$ If $X_0 =x$ and $x>0$, then which of the following is always true? $X_n$ is positive if $n$ is even $X_n$ is positive if $n$ is odd $X_n$ is negative if $n$ is even None of these
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