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 daily wage of 8 men, 10 women and 2 girls is Rs. 280. If the average daily wage of the men is Rs. 10 more than that of the women and the average daily wage of the women is Rs. 10 more than that of the girls, then the average daily wage of the men is

  1. Rs. 287

  2. Rs. 280

  3. Rs. 282

  4. Rs. 286

  5. Rs. 285
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let girl wage = g. Woman wage = g+10. Man wage = g+20. Total wage = 8(g+20) + 10(g+10) + 2g = 280 * 20. 8g + 160 + 10g + 100 + 2g = 5600. 20g + 260 = 5600. 20g = 5340. g = 267. Man wage = 267 + 20 = 287.

Multiple choice

Directions: The question below is followed by statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative. What is the student's overall average in four subjects? (A) The weightages of the subjects are: Science - 4, Maths - 5, Physics - 3 and Biology - 1. (B) He obtained 28 in Science, 94 in Maths, 71 in Physics and 76 in Biology.

  1. Statement (A) alone is sufficient, but statement (B) alone is not sufficient.

  2. Statement (B) alone is sufficient, but statement (A) alone is not sufficient.

  3. Both (A) and (B) together are sufficient, but neither of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the weighted average, you need both the weights (Statement A) and the individual scores (Statement B). Neither provides enough information on its own.

Multiple choice

In a group of 16 students, the age of the tallest student is 16 years and the age of the shortest student is 3/4 of the age of the tallest one. If the ages of the tallest and the shortest students are excluded, then the average age of 14 students becomes 1 year less than the average age of all students. What is the average age of 16 students?

  1. 6 years

  2. 14 years

  3. 7 years

  4. 21 years

  5. Cannot be Determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let S be the sum of ages of 16 students, A = S/16. Tallest = 16, Shortest = 3/4 * 16 = 12. Sum of remaining 14 = S - 28. Average of 14 = (S - 28)/14 = A - 1. S - 28 = 14A - 14. Since S = 16A, 16A - 28 = 14A - 14. 2A = 14, A = 7.