Recent questions tagged arithmetic-mean

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CAT 2021 Set-3 | Quantitative Aptitude | Question: 8
The arithmetic mean of scores of $25$ students in an examination is $50.$ Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being $30,$ then the maximum possible score of the toppers is

The arithmetic mean of scores of $25$ students in an examination is $50.$ Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being $30,$ then the maximum possible score of the toppers is

asked Jan 20 in Quantitative Aptitude soujanyareddy13 2.7k points 76 views

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CAT 2018 Set-2 | Question: 87
Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a_{2},a_{3},\dots , a_{52}$. If $a_{52}=100$ , then the largest possible value of $a_{1}$ is ________ $20$ $23$ $48$ $45$

Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a_{2},a_{3},\dots , a_{52}$. If $a_{52}=100$ , then the largest possible value of $a_{1}$ is ________ $20$ $23$ $48$ $45$

asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.3k points 214 views

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CAT 2017 Set-2 | Question: 92
If $\log\left ( 2^{a} \times 3^{b}\times 5^{c}\right )$ is the arithmetic mean of $\log\left ( 2^{2} \times 3^{3}\times 5 \right ),$ $\log\left ( 2^{6} \times3\times 5^{7} \right ),$ and $\log\left ( 2 \times3^{2}\times 5^{4} \right ),$ then $a$ equals $2$ None of these $6$ $7$

If $\log\left ( 2^{a} \times 3^{b}\times 5^{c}\right )$ is the arithmetic mean of $\log\left ( 2^{2} \times 3^{3}\times 5 \right ),$ $\log\left ( 2^{6} \times3\times 5^{7} \right ),$ and $\log\left ( 2 \times3^{2}\times 5^{4} \right ),$ then $a$ equals $2$ None of these $6$ $7$

asked Mar 16, 2020 in Quantitative Aptitude go_editor 13.3k points 155 views

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CAT 2012 | Question: 27
$S$ is a set given by $S=\{1,2,3,\dots,4n\}$, where $n$ is a natural number. $S$ is partitioned into $n$ disjoint subsets $A_{1},A_{2},A_{3}\dots,A_{n}$ each containing four elements. It is given that in everyone of these subsets there is one element, ... equal to $2$ $n\neq2$ but can be equal to $1$ It is possible to satisfy the requirement for $n=1$ as well as for $n=2$

$S$ is a set given by $S=\{1,2,3,\dots,4n\}$, where $n$ is a natural number. $S$ is partitioned into $n$ disjoint subsets $A_{1},A_{2},A_{3}\dots,A_{n}$ each containing four elements. It is given that in everyone of these subsets there is one element, which is the ... can be equal to $2$ $n\neq2$ but can be equal to $1$ It is possible to satisfy the requirement for $n=1$ as well as for $n=2$

asked Mar 5, 2020 in Quantitative Aptitude Chandanachandu 308 points 146 views

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