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CAT 2013 | Question: 23
admin
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Quantitative Aptitude
Mar 6, 2020
edited
Mar 26, 2022
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Lakshman Bhaiya
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If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will be
maximum when $p>0,q>0$
minimum when $p<0,q<0$
minimum when $p>0,q<0$
maximum when $p>0,q<0$
cat2013
quantitative-aptitude
functions
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CAT 2013 | Question: 1
Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by $n$. If $n=10$, find the value of $g(g(a_2,a_8),g(a_1,a_7))$, $a_9$ $a_7$ $a_2$ $a_0$
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CAT 2013 | Question: 2
Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by ... $1\leq m < n$ and $0 \leq k < n$, and $m$ is a natural number, find $k$. $0$ $1$ $n-1$ $n-2$
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Let $\text{P, Q, S, R, T, U}$ and $\text{V}$ represent the seven distinct digits from $0$ to $6$, not necessarily in that order. If $\text{PQ}$ and $\text{RS}$ are both two-digit numbers adding up to the three-digit number $\text{TUV}$, find the value of $\text{V}$. $3$ $6$ $5$ Cannot be determined
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