Recent questions tagged average

1
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: $r_1$ = number of runs scored in completed innings; $n_1$ = number of completed innings $r_2$ = ... $\text{MBA}_1$ and $\text{MBA}_2$ None of these
1 vote
2
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 is
1 vote
3
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 ... $\text{A}$ was $3$ more than the average in hospital $\text{B}$ then the number admitted in hospital $\text{A}$ was
1 vote
4
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 ... for onion, $\text{in rupees per kg},$ for the family over these $5 \; \text{months}$ is closest to $18$ $16$ $26$ $20$
5
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 $2$ $3$ $4$ $1$
6
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 $4$ $3$ $5$ $6$
1 vote
7
The mean of all $4-$digit even natural numbers of the form $`aabb\text{’},$ where $a>0,$ is $5050$ $4466$ $5544$ $4864$
8
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 $6$ $5$ $7$ $4$
9
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 ? $24.8$ $26.5$ $27.6$ $29.4$
10
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 : $29.3$ years $28.5$ years $23$ years $19$ years
1 vote
11
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? $4$ $3.5$ $4.5$ $5$
12
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? $27$ $28$ $26$ $25$
13
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 ________
1 vote
14
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 $30$ $28$ $32$ $26$
1 vote
15
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? $12$ $13$ $11$ $14$
1 vote
16
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 $9.5$ $10$ $4.5$ $6$
17
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 ________
18
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 ... respectively. $13\:\text{and}\:19$ $13\:\text{and}\:20$ $14\:\text{and}\:19$ $14\:\text{and}\:20$
1 vote
19
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 $49$ $48$ $51$ $53$
20
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: $r_1$ = number of runs scored in completed innings; $n_1$ = number of completed innings $r_2$ = number of runs scored ... $\text{MBA}_2 \leq \text{BA} \leq \text{MBA}_1$ None of these
21
Three math classes; $\text{X, Y},$ and $\text{Z},$ take an algebra test. The average score in class $\text{X}$ is $83.$ The average score in class $\text{Y}$ is $76.$ The average score in class $\text{Z}$ is $85.$ The average score of all students in classes $\text{X}$ ... in classes $\text{Y}$ and $\text{Z}$ together is $81.$ What is the average for all three classes? $81$ $81.5$ $82$ $84.5$
22
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 ... building, what should be the average donation from the remaining people to be solicited? Rs $300$ Rs $250$ Rs $400$ Rs $500$
23
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? $60$ $62$ $64$ Cannot be determined
24
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is $n$ $n+1$ $\text{K} \times n, \text {where K is a function of } n$ $n + \frac{2}{7}$
25
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 $b?$ $4$ $2$ $6$ $8$
1 vote
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 $\text{X-Y}?$ $0$ $1$ $n/2$ $n+1/2n$ $2008$