Recent questions tagged goclasses2024-mockgate-12

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There are real numbers $a$ and $b$ for which the function $f$ has the properties that $f(x)=a x+b$ for all real numbers $x$, and $f(b x+a)=x$ for all real numbers $x$. What is the value of $a+b?$2$-1$0$-2$
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In the sum shown, $P, Q$ and $R$ represent three different single digits. The value of $P+Q+R$ is ______.$\begin{array}{ccc}& P \;7 \;R \\+ & 3\;9\; R \\\hline & R\; Q\; 0\end{array}$$13$12$14$3$
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A town has $2017$ houses. Of these $2017$ houses, $1820$ have a dog, $1651$ have a cat, and $1182$ have a turtle. If $x$ is the largest possible number of houses ... $ is ______.$1182$638$563$619$
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The integers $1,2,4,5,6,9,10,11,13$ are to be placed in the circles and squares below with one number in each shape.Each integer must be used exactly once ... the rightmost square, what is the largest possible value of $x+y?$19$20$21$24$
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Renu saw no _______ in the exercises that had been set for her and worked at them in a _______ manner.reason...organisedpoint...desultorystrength...carelessmeaning...dutiful