Quantitative Aptitude

Averages

1,527 Questions

All Basic average and reverse calculation 405 Adding or removing an observation 342 Weighted and combined averages 320 Replacement and correction of a recorded value 233 Ratio shortcut for two-group mixtures 111 Equal-distance average speed 59 Age, score, weight, and spending applications 32 Consecutive terms and arithmetic progressions 25

Averages Questions

Multiple choice

The average of marks obtained by 120 condidates was 35. If the average of the passed candidates was 39 and that of the failed candidates was 15, then the number of those candidates who passed the examination was

100
110
120
150

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Multiple choice

The average age of a group of men and women is $30$ years. If average age of men is $32$ and that of women is $27$, then the percentage of women in the group is

$60$
$50$
$40$
$30$

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Multiple choice

The average of $8$ numbers is $20$. The average of first two numbers is $\displaystyle 15\frac{1}{2}$ and that of next three is $\displaystyle 21\frac{1}{3}$. If the sixth number be less than the seventh and eighth numbers by $4$ and $7$, respectively, then find the eighth number?

$20$
$22$
$25$
$27$

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Multiple choice

A class has two section in one of which there are 40 students with an average age of 14.5 years. The average of the class is 14.2 years. If there are 32 students in the other section, then its average age is

13.7 years
13.6 years
13.5 years
None of the above

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Multiple choice

Out of $14$ numbers, the average of first $10$ terms is $10$ and the average of the remaining $4$ is $24$. Find the average of all the numbers?

$12$
$16$
$14$
$15$

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Multiple choice

The average of $25$ results is $18$. The average of first twelve of them is 14 and of last twelve is $17$. Find the thirteenth result.

$80$
$79$
$78$
$77$

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Multiple choice

A student's average (arithmetic mean) test score on $4$ tests is $78$.What must be the student's score on a $5^{th}$ test for the student's average score on the $5$ tests to be $80 $?

$80$
$82$
$84$
$86$
$88$

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Multiple choice

Andrew has taken $5$ of the $8$ equally weighted tests in his U.S. Maths class this semester, and he has an average score of exactly $78.0$ points. How many points does he need to earn on the $6^{th}$ test to bring his average score up to exactly $80.0$ points?

$90$
$88$
$82$
$80$
79

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Multiple choice

A college math professor informs her students that rather than curving final grades, she will replace each students lowest test score with the next to lowest test score, and then re-average the test grades. If Leeza has test scores of $86,92,81,64$ and $83$, by how many points does her final test average change based on the professor's policy?

$2$
$3$
$4$
$5$

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Multiple choice

In a certain game, each of $5$ players received a score between $0$ and $100$, inclusive. If their average (arithmetic mean) score was $80$, what is the greatest possible number of the $5$ players who could have received a score of $50$?

None
One
Two
Three

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Multiple choice

Two high school classes took the same test. One class of $20$ students made an average grade of $80$%; the other class of $30$ students made an average grade of $70$%. The average grade for all students in both classes is

$75$%
$74$%
$72$%
$77$%
None of these

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Multiple choice

The number of saplings planted by students are 44,61,84,50,36 and 85. Find the average of this date.

62
60.5
72
60

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Multiple choice

The average of the scores of a group of students in a test was $52$. The brightest $20\%$ of them secured an average score of $80$ and the dullest $25\%$ secured an average score of $31$. Then the average score of remaining $55\%$ is:

$45$
$50$
$51.4$ approx
$54.6$ approx

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Multiple choice

At a certain fruit stand, the price of each apple is $40$ cents and the price of each orange is $60$ cents. Mary selects a total of $10$ apples and oranges from the fruit stand, and the average (arithmetic mean) price of the $10$ pieces of fruit is $56$ cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is $52$ cents?

$1$
$2$
$3$
$4$
$5$

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Multiple choice

If the average marks of three batches of $55, 60$ and $45$ students respectively is $50, 55, 60$, then the average marks of all the students is:

$53.33$
$54.68$
$55$
None of these

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