Aptitude Overflow - Recent questions tagged average
https://aptitude.gateoverflow.in/tag/average
Powered by Question2AnswerCAT 2001 | Question: 39
https://aptitude.gateoverflow.in/8804/cat-2001-question-39
<p>The batting average $\text{(BA)}$ of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following manner:</p>
<ul>
<li>$r_1$ = number of runs scored in completed innings;</li>
<li>$n_1$ = number of completed innings</li>
<li>$r_2$ = number of runs scored in incomplete innings;</li>
<li>$n_2$ = number of incomplete innings </li>
<li>$\text{BA} =\frac{r_1 + r_2}{n_1}$</li>
</ul>
<p>To better assess batsman's accomplishments, the ICC is considering two other measures $\text{MBA}_1$ and $\text{MBA}_2$ defined as follows:</p>
<ul>
<li>$\text{MBA}_1 = \frac{r_1}{n_1} + \frac{n_2}{n_1} \: \: \max\left[0, \left(\frac{r_2}{n_2} - \frac{r_1}{n_1}\right)\right]$</li>
<li>$\text{MBA}_2 = \frac{r_1 + r_2}{n_1 + n_2}$</li>
</ul>
<p>An experienced cricketer with no incomplete innings has a $\text{BA}$ of $50.$ The next time he bats, the innings is incomplete and he scores $45$ runs. It can be inferred that:</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$\text{BA}$ and $\text{MBA}_1$ will both increase</li>
<li>$\text{BA}$ will increase and $\text{MBA}_2$ will decrease</li>
<li>$\text{BA}$ will increase and not enough data is available to assess change in $\text{MBA}_1$ and $\text{MBA}_2$</li>
<li>None of these</li>
</ol>
<p> </p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8804/cat-2001-question-39Sat, 09 Apr 2022 12:45:04 +0000CAT 2021 Set-2 | Quantitative Aptitude | Question: 11
https://aptitude.gateoverflow.in/8442/cat-2021-set-2-quantitative-aptitude-question-11
In a football tournament, a player has played a certain number of matches and $10$ more matches are to be played. If he scores a total of one goal over the next $10$ matches, his overall average will be $0.15$ goals per match. On the other hand, if he scores a total of two goals over the next $10$ matches, his overall average will be $0.2$ goals per match. The number of matches he has played isQuantitative Aptitudehttps://aptitude.gateoverflow.in/8442/cat-2021-set-2-quantitative-aptitude-question-11Thu, 20 Jan 2022 09:24:35 +0000CAT 2021 Set-1 | Quantitative Aptitude | Question: 16
https://aptitude.gateoverflow.in/8365/cat-2021-set-1-quantitative-aptitude-question-16
Suppose hospital $\text{A}$ admitted $21$ less Covid infected patients than hospital $\text{B},$ and all eventually recovered. The sum of recovery days for patients in hospitals $\text{A}$ and $\text{B}$ were $200$ and $152,$ respectively. If the average recovery days for patients admitted in hospital $\text{A}$ was $3$ more than the average in hospital $\text{B}$ then the number admitted in hospital $\text{A}$ wasQuantitative Aptitudehttps://aptitude.gateoverflow.in/8365/cat-2021-set-1-quantitative-aptitude-question-16Wed, 19 Jan 2022 05:24:03 +0000CAT 2021 Set-1 | Quantitative Aptitude | Question: 21
https://aptitude.gateoverflow.in/8360/cat-2021-set-1-quantitative-aptitude-question-21
<p>Onion is sold for $5$ consecutive months at the rate of $\text{Rs}\; 10, 20, 25, 25,$ and $50 \; \text{per kg},$ respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, $\text{in rupees per kg},$ for the family over these $5 \; \text{months}$ is closest to</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$18$</li>
<li>$16$</li>
<li>$26$</li>
<li>$20$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8360/cat-2021-set-1-quantitative-aptitude-question-21Wed, 19 Jan 2022 05:24:03 +0000CAT 2020 Set-3 | Question: 74
https://aptitude.gateoverflow.in/8104/cat-2020-set-3-question-74
<p>A batsman played $n + 2$ innings and got out on all occasions. His average score in these $n + 2$ innings was $29$ runs and he scored $38$ and $15$ runs in the last two innings. The batsman scored less than $38$ runs in each of the first $n$ innings. In these $n$ innings, his average score was $30$ runs and lowest score was $x$ runs. The smallest possible value of $x$ is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$2$</li>
<li>$3$</li>
<li>$4$</li>
<li>$1$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8104/cat-2020-set-3-question-74Fri, 17 Sep 2021 13:40:32 +0000CAT 2020 Set-2 | Question: 76
https://aptitude.gateoverflow.in/8024/cat-2020-set-2-question-76
<p>In a group of $10$ students, the mean of the lowest $9$ scores is $42$ while the mean of the highest $9$ scores is $47.$ For the entire group of $10$ students, the maximum possible mean exceeds the minimum possible mean by </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$3$</li>
<li>$5$</li>
<li>$6$ </li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8024/cat-2020-set-2-question-76Fri, 17 Sep 2021 04:49:06 +0000CAT 2020 Set-1 | Question: 64
https://aptitude.gateoverflow.in/7957/cat-2020-set-1-question-64
<p>The mean of all $4-$digit even natural numbers of the form $`aabb\text{’},$ where $a>0,$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$5050$</li>
<li>$4466$</li>
<li>$5544$</li>
<li>$4864$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/7957/cat-2020-set-1-question-64Thu, 16 Sep 2021 02:16:31 +0000CAT 2020 Set-1 | Question: 73
https://aptitude.gateoverflow.in/7948/cat-2020-set-1-question-73
<p>Let $\text{A, B}$ and $\text{C}$ be three positive integers such that the sum of $\text{A}$ and the mean of $\text{B}$ and $\text{C}$ is $5$. In addition, the sum of $\text{B}$ and the mean of $\text{A}$ and $\text{C}$ is $7$. Then the sum of $\text{A}$ and $\text{B}$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li> $6$</li>
<li> $5$</li>
<li> $7$</li>
<li> $4$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/7948/cat-2020-set-1-question-73Thu, 16 Sep 2021 02:16:30 +0000NIELIT 2019 Feb Scientist D - Section C: 21
https://aptitude.gateoverflow.in/6802/nielit-2019-feb-scientist-d-section-c-21
<p>The average of $8$ readings is $24.3$, out of which the average of first two is $18.5$ and that of next three is $21.2$. If the sixth reading is $3$ less than seventh and $8$ less than eighth, what is the sixth reading ?</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$24.8$</li>
<li>$26.5$</li>
<li>$27.6$</li>
<li>$29.4$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6802/nielit-2019-feb-scientist-d-section-c-21Fri, 03 Apr 2020 02:55:44 +0000NIELIT 2016 DEC Scientist B - Section A: 52
https://aptitude.gateoverflow.in/6380/nielit-2016-dec-scientist-b-section-a-52
<p>The average of the husband and his wife age was $23$ years at the time of their marriage. After five years they have a one year old child. The average age of the family now is :</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$29.3$ years</li>
<li>$28.5$ years</li>
<li>$23$ years</li>
<li>$19$ years</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6380/nielit-2016-dec-scientist-b-section-a-52Tue, 31 Mar 2020 01:38:40 +0000CAT 2019 Set-2 | Question: 75
https://aptitude.gateoverflow.in/6177/cat-2019-set-2-question-75
<p>The average of $30$ integers is $5$. Among these $30$ integers, there are exactly $20$ which do not exceed $5$. What is the highest possible value of the average of these $20$ integers?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$3.5$</li>
<li>$4.5$</li>
<li>$5$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6177/cat-2019-set-2-question-75Fri, 20 Mar 2020 07:16:44 +0000CAT 2018 Set-1 | Question: 75
https://aptitude.gateoverflow.in/6036/cat-2018-set-1-question-75
<p>In an apartment complex, the number of people aged $51$ years and above is $30$ and there are at most $39$ people whose ages are below $51$ years. The average age of all the people in the apartment complex is $38$ years. What is the largest possible average age, in years, of the people whose ages are below $51$ years?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$27$</li>
<li>$28$</li>
<li>$26$</li>
<li>$25$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6036/cat-2018-set-1-question-75Thu, 19 Mar 2020 22:39:08 +0000CAT 2018 Set-1 | Question: 86
https://aptitude.gateoverflow.in/6025/cat-2018-set-1-question-86
A $\text{CAT}$ aspirant appears for a certain number of tests. His average score increases by $1$ if the first $10$ tests are not considered, and decreases by $1$ if the last $10$ tests are not considered. If his average scores for the first $10$ and the last $10$ tests are $20$ and $30$, respectively, then the total number of tests taken by him is ________Quantitative Aptitudehttps://aptitude.gateoverflow.in/6025/cat-2018-set-1-question-86Thu, 19 Mar 2020 22:39:06 +0000CAT 2017 Set-2 | Question: 72
https://aptitude.gateoverflow.in/5869/cat-2017-set-2-question-72
<p>The average height of $22$ toddlers increases by $2$ inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original $22$, then the average height, in inches, of the remaining $20$ toddlers is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$30$</li>
<li>$28$</li>
<li>$32$</li>
<li>$26$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5869/cat-2017-set-2-question-72Mon, 16 Mar 2020 05:43:48 +0000CAT 2017 Set-1 | Question: 69
https://aptitude.gateoverflow.in/5785/cat-2017-set-1-question-69
<p>An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum possible number of people in the group?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$12$</li>
<li>$13$</li>
<li>$11$</li>
<li>$14$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5785/cat-2017-set-1-question-69Fri, 13 Mar 2020 07:23:50 +0000CAT 2017 Set-1 | Question: 80
https://aptitude.gateoverflow.in/5774/cat-2017-set-1-question-80
<p>A class consists of $20$ boys and $30$ girls. In the mid-semester examination, the average score of the girls was $5$ higher than that of the boys. In the final exam, however, the average score of the girls dropped by $3$ while the average score of the entire class increased by $2$. The increase in the average score of the boys is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$9.5$</li>
<li>$10$</li>
<li>$4.5$</li>
<li>$6$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5774/cat-2017-set-1-question-80Fri, 13 Mar 2020 07:23:49 +0000CAT 2015 | Question: 99
https://aptitude.gateoverflow.in/5553/cat-2015-question-99
Amol was asked to calculate the arithmetic mean of $10$ positive integers, each of which had $2$ digits. By mistake, he interchanged the $2$ digits, say $a$ and $b$, in one of these $10$ integers. As a result, his answer for the arithmetic mean was $1.8$ more than what is should have been. Then $b – a$ equals ________Quantitative Aptitudehttps://aptitude.gateoverflow.in/5553/cat-2015-question-99Mon, 09 Mar 2020 09:49:54 +0000CAT 2011 | Question: 3
https://aptitude.gateoverflow.in/5548/cat-2011-question-3
<p>Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commision and cost. His commission is fixed and equals $ ₹560$ per assignment while the cost equals $ ₹2n^2$ where, $n$ is the total number of chairs he makes. If for a certain assignment the average cost per chair is not more than $₹68$, then the minimum and maximum possible number of chairs in the assignment are, respectively.</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$13\:\text{and}\:19$</li>
<li>$13\:\text{and}\:20$</li>
<li>$14\:\text{and}\:19$</li>
<li>$14\:\text{and}\:20$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5548/cat-2011-question-3Mon, 09 Mar 2020 06:28:09 +0000CAT 2019 Set-1 | Question: 73
https://aptitude.gateoverflow.in/5438/cat-2019-set-1-question-73
<p>Ramesh and Gautam are among $22$ students who write an examination. Ramesh scores $82.5$. The average score of the $21$ students other than Gautam is $62$. The average score of all the $22$ students is one more than the average score of the $21$ students other than Ramesh. The score of Gautam is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$49$</li>
<li>$48$</li>
<li>$51$</li>
<li>$53$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5438/cat-2019-set-1-question-73Sun, 08 Mar 2020 10:24:41 +0000CAT 2001 | Question: 38
https://aptitude.gateoverflow.in/1306/cat-2001-question-38
<p>The batting average $\text{(BA)}$ of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following manner:</p>
<ul>
<li>$r_1$ = number of runs scored in completed innings;</li>
<li>$n_1$ = number of completed innings</li>
<li>$r_2$ = number of runs scored in incomplete innings;</li>
<li>$n_2$ = number of incomplete innings </li>
<li>$\text{BA} =\frac{r_1 + r_2}{n_1}$</li>
</ul>
<p>To better assess batsman's accomplishments, the ICC is considering two other measures $\text{MBA}_1$ and $\text{MBA}_2$ defined as follows:</p>
<ul>
<li>$\text{MBA}_1 = \frac{r_1}{n_1} + \frac{n_2}{n_1} \: \: \max\left[0, \left(\frac{r_2}{n_2} - \frac{r_1}{n_1}\right)\right]$</li>
<li>$\text{MBA}_2 = \frac{r_1 + r_2}{n_1 + n_2}$</li>
</ul>
<p>Based on the information provided which of the following is true?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$\text{MBA}_1 \leq \text{BA} \leq \text{MBA}_2$</li>
<li>$\text{BA} \leq \text{MBA}_2 \leq \text{MBA}_1$</li>
<li>$\text{MBA}_2 \leq \text{BA} \leq \text{MBA}_1$</li>
<li>None of these</li>
</ol>
<p> </p>
<ol>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/1306/cat-2001-question-38Thu, 31 Mar 2016 06:05:02 +0000CAT 2001 | Question: 22
https://aptitude.gateoverflow.in/1289/cat-2001-question-22
<p>Three math classes; $\text{X, Y},$ and $\text{Z},$ take an algebra test.</p>
<ul>
<li>The average score in class $\text{X}$ is $83.$</li>
<li>The average score in class $\text{Y}$ is $76.$</li>
<li>The average score in class $\text{Z}$ is $85.$</li>
<li>The average score of all students in classes $\text{X}$ and $\text{Y}$ together is $79.$</li>
<li>The average score of all students in classes $\text{Y}$ and $\text{Z}$ together is $81.$</li>
</ul>
<p>What is the average for all three classes?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$81$</li>
<li>$81.5$</li>
<li>$82$</li>
<li>$84.5$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/1289/cat-2001-question-22Thu, 31 Mar 2016 05:20:05 +0000CAT 2001 | Question: 13
https://aptitude.gateoverflow.in/1280/cat-2001-question-13
<p>A college has raised $75\%$ of the amount it needs for a new building by receiving an average donation of Rs. $600$ from the people already solicited. The people already solicited represent $60\%$ of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Rs $300$</li>
<li>Rs $250$</li>
<li>Rs $400$</li>
<li>Rs $500$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/1280/cat-2001-question-13Thu, 31 Mar 2016 05:00:26 +0000CAT 2000 | Question: 103
https://aptitude.gateoverflow.in/1227/cat-2000-question-103
<p>A shipping clerk has five boxes of different but unknown weights each weighing less than $100$ kg. The clerk weighs the boxes in pairs. The weights obtained are $110, 112, 113, 114, 115, 116, 117, 118, 120$ and $121$ kg. What is the weight, in kg, of the heaviest box?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$60$ </li>
<li>$62$</li>
<li>$64$ </li>
<li>Cannot be determined</li>
</ol>
<p> </p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/1227/cat-2000-question-103Tue, 29 Mar 2016 05:30:27 +0000CAT 2000 | Question: 61
https://aptitude.gateoverflow.in/1198/cat-2000-question-61
<p>Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$n$</li>
<li>$n+1$</li>
<li>$\text{K} \times n, \text {where K is a function of } n$</li>
<li>$n + \frac{2}{7}$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/1198/cat-2000-question-61Mon, 28 Mar 2016 01:16:17 +0000CAT 2002 | Question: 60
https://aptitude.gateoverflow.in/1075/cat-2002-question-60
<p>A boy finds the average of $10$ positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say $ba$ for $ab.$ Due to this, the average becomes $1.8$ less than the previous one. What is the difference between two digits $a$ and $b?$</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$2$</li>
<li>$6$</li>
<li>$8$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/1075/cat-2002-question-60Tue, 01 Mar 2016 11:35:54 +0000CAT 2007 | Question: 23
https://aptitude.gateoverflow.in/600/cat-2007-question-23
<p>Consider the set $S = \{2, 3, 4, \dots , 2n+1\} $ where $n$ is a positive integer larger than $2007.$ Define $\text{X}$ as the average of the odd integers in $S$ and $\text{Y}$ as the average of the even integers in $S$. What is the value of $\text{X-Y}?$</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$0$</li>
<li>$1$</li>
<li>$n/2$</li>
<li>$n+1/2n$</li>
<li>$2008$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/600/cat-2007-question-23Mon, 07 Dec 2015 04:17:32 +0000Question on Averages
https://aptitude.gateoverflow.in/432/question-on-averages
The average age of Sachin and Ganguli is 35 yrs. If Kaif replaces Sachin, the average age is 32 yrs, if Kaif replaces Ganguly average age is 38 yr. If the average age of Dhoni and Irfan is half of average age of Sachin, Ganguli and Kaif. then average age of all the five people is<br />
<br />
A: 28 yrs<br />
<br />
B: 32 yrs<br />
<br />
C: 25 yrs<br />
<br />
D:none of theseQuantitative Aptitudehttps://aptitude.gateoverflow.in/432/question-on-averagesSat, 31 Oct 2015 06:56:05 +0000In a class of 51 students, the difference between the highest mark and the least mark is 70.
https://aptitude.gateoverflow.in/285/class-students-difference-between-highest-mark-least-mark
<p>In a class of 51 students, the difference between the highest mark and the least mark is 70. If the average score is calculated without considering the student who got the highest mark, then the average score decreases by 1%. If the average score is calculated without considering the student who got the least mark, then the average score increases by 1.33%. What is the original average score of the class?</p><ol><li>60</li><li>70</li><li>80</li><li>40</li></ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/285/class-students-difference-between-highest-mark-least-markSat, 22 Aug 2015 11:34:57 +0000