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

Passage

Directions: The following pie chart shows the percentage (%) distribution of students who like different sports in a school. Total number of students = 1300 The following table shows the ratio of girls to boys. Sports Girls : Boys Football 9 : 4 Hockey 7 : 6 Badminton 3 : 2 Cricket 2 : 3 Basketball 4 : 5

Find the difference in the average number of girls who like Cricket and Basketball and the average number of boys who like Football and Badminton.

  1. 16

  2. 20

  3. 36

  4. 40

  5. 42
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Passage

Directions: Read the passage and answer the following question. Three students, namely Tarun, Tapu, and Mridul, appear in the class 11 exams. They have 5 subjects: English, Hindi, Geography, History, and Economics. The maximum marks for each of the Hindi and English exams are 35. The maximum marks for the Geography exam are 5 more than those for the English exam and 10 more than those for the History exam. The total maximum marks for all the subjects are 160. The marks of Mridul are 60% in English, while Tapu scores 50% in the same exam. Tarun scores 13.5 marks in English and 24 marks in Hindi. Tarun's marks in Hindi are 60% more than Tapu's marks in the same exam. The total marks obtained in Hindi by all three of them are 58. Mridul scores 15.5 marks in Geography, while Tapu scores 35% in the same exam. Tarun scores 29 marks in Geography, which are the highest of all three. In History, Tarun scores 40% marks, and Tapu scores 50% more marks than Tarun in the same exam. Mridul scores 14 marks in History. The ratio of the marks of Tarun to those of Tapu in Economics is 9 : 7, while the sum of the same is 32. Mridul scores 77.5% marks in Economics.

What are the average marks (round off to the nearest integer) scored by Tarun, Tapu and Mridul in History?

  1. 18

  2. 17

  3. 16

  4. 15

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Study the table given below carefully and answer the question that follows. It represents the marks obtained by 5 students in 4 different subjects. Each student was given marks out of 100 in each of the given subjects. Student English Mathematics Science Hindi 1 87 96 90 81 2 74 99 94 89 3 89 99 99 92 4 62 89 96 91 5 95 92 92 86

The average marks per student in English is what percent of the average marks per student in Hindi?

  1. 91.48

  2. 97.12

  3. 92.71

  4. 98.18
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average English marks = (87+74+89+62+95)/5 = 407/5 = 81.4. Average Hindi marks = (81+89+92+91+86)/5 = 439/5 = 87.8. Percentage = (81.4 / 87.8) * 100 = 92.7107%.

Multiple choice

Passage

Directions: Study the table carefully to answer the question that follows. Number of athletes (in hundreds) who participated in a sports event from five different countries over the years is given below. A B C D E Year Male Female Male Female Male Female Male Female Male Female 2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1 2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2 2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5 2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8 2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2 2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8

What was the average number of female athletes who participated from country B over all the years together?

  1. 1200

  2. 360

  3. 600

  4. 6000

  5. 3600
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Female athletes from B: 4.2, 6.2, 4.8, 8.4, 5.2, 7.2. Sum = 36.0 (hundreds). Average = 36/6 = 6 hundreds = 600.

Multiple choice

Passage

Directions: Study the following table carefully and answer the given question accordingly. Percentage of Marks Obtained by Various Students in Various Subjects in an Examination: Students Aptitude (Out of 100) Maths (Out of 100) English (Out of 150) Social Science (Out of 160) Computer (Out of 150) Urdu (Out of 140) Abhilasha 68 75 82 60 96 55 Bilal 88 73 85 65 88 65 Chandra 75 56 72 75 75 80 Deepti 70 66 80 80 72 62 Ishrat 72 60 68 74 68 75 Farroq 85 70 90 70 74 70

What is the approximate average marks obtained by all the students together in English?

  1. 95

  2. 110

  3. 114

  4. 120

  5. 127
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Read the following instructions carefully and answer the question that follows. There are 6 men X, Y, Z, C, D and F in a gym, all having different weights. The weight of C is 1.25 times the weight of X and half the weight of F. D weighs more than only Z. Also, F is not the heaviest. The person who is third lightest has a weight of 60 kg, which is 15 kg more than the person with the least weight.

What can be the average weight of C and Z?

  1. 50 kg

  2. 55 kg

  3. 60 kg

  4. 65 kg

  5. 70 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Based on the constraints: Z < D < X < C < F. Third lightest is 60kg, which is 15kg more than the least (Z). So Z = 45kg. Third lightest is X = 60kg. C = 1.25 * X = 75kg. Average of C and Z = (75 + 45) / 2 = 60kg.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.

Average age of A, B and C is 37 years and average age of A and B is 23 years Quantity I : What is the age of C Quantity II : 78 years

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average age of A, B, C is 37 years, so A+B+C = 37 × 3 = 111 years. Average age of A and B is 23 years, so A+B = 23 × 2 = 46 years. C's age = (A+B+C) - (A+B) = 111 - 46 = 65 years. Comparing: 65 years < 78 years, so Quantity I < Quantity II.

Multiple choice

Passage

Find the correct relationship between Quantity 1and Quantity 2.

Quantity 1 : The age of teacher, if the average age of 36 students is 14. When teacher’s age is included the average increases by 1. Quantity 2 : The age of professor if the average age of 19 students is 35. When professor’s age is included the average increases by 0.5.

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 1 < Quantity 2

  4. Quantity 1 ≤ Quantity 2

  5. Quantity 1 = Quantity 2 or relationship cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity 1: Average of 36 students = 14, so total = 36 * 14 = 504. With teacher, average becomes 15 for 37 people, so new total = 37 * 15 = 555. Teacher's age = 555 - 504 = 51 years. Quantity 2: Average of 19 students = 35, so total = 19 * 35 = 665. With professor, average becomes 35.5 for 20 people, so new total = 20 * 35.5 = 710. Professor's age = 710 - 665 = 45 years. Comparing: 51 > 45, so Quantity 1 > Quantity 2.

Multiple choice

Passage

Study the following information carefully and answer the question given below. Seven boxes P, Q, R, S, T, U and V are kept one above the other but not necessarily in the same order. The bottommost box is numbered 1, the box immediately above it is numbered 2 and the topmost box is numbered 7. The boxes are of different colours i.e., Pink, Purple, White, Black and Green. Not more than two boxes are of the same colour. Weights of all the boxes are of different from 1 kg to 7 kg. Box S weight is of prime even number and kept three places above of Purple coloured box. Box R and U are of the same colours but not Pink and White and two boxes are kept between them. Only V likes the Purple coloured box and kept it at an odd number position. The number of boxes kept above box R is the same as the number of boxes kept below White coloured box. Only one box is placed between S and Black coloured box, which is 5kg more than box S. The pink-coloured box is 6kg and is kept two places above the box which is half of the weight of Pink colored box. The white colored box has an even number of weights. More than four boxes are kept between the box P and box T. Both boxes Q and T are of the same colour but not of Pink colour. Box V is 1 kg more than box R which is not black in colour.

Which of the following statements is true? I. The average weight of boxes P, Q and S is 5 kg. II. Box S is white coloured. III. Pink coloured box is thrice heavier to box S.

  1. All I, II and III

  2. Only I

  3. Only II

  4. Both II and III

  5. Both I and II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

All three statements must be verified from the bar graph data. Statement I requires calculating (P+Q+S)/3 = 5, Statement II requires identifying that box S is white, and Statement III requires showing pink box weight = 3 × box S weight. If all three are true, then A is correct.

Multiple choice

Passage

Read the given information carefully and answer the following questions Ratio of the number of Mobile to laptops sold in shop P is 12:7 respectively. The number of Mobile charger sold in shop P is 33.33 % of the number of Mobile sold in the same shop. In shop Q, the number of Mobile and Mobile charger sold is 50 less and 10 more than that of the number of laptops sold. The average number of Mobile charger and laptops sold in shop P is 110 and the number of Mobile sold in shop Q is 150. Ratio of the number of Mobile sold in shops P to R is 4:5 respectively. The number of Mobile and laptops sold in shop R is 66.67% more and 16.67% less than the number of Mobile charger sold in the same shop.

Find the average number of Mobiles sold in shops P, Q and R together.

  1. 170

  2. 320

  3. 110

  4. 230

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This question asks for the average number of mobiles sold in shops P, Q, and R together. The calculation requires the actual mobile sales data from a table or passage. Without knowing the individual mobile sales figures for shops P, Q, and R, the average of 230 cannot be independently verified.

Multiple choice

Passage

A competitive firm sells as much as of its product as it chooses at a market price of Rs. 100 per unit. Its fixed cost is Rs. 300 and its variable costs (in rupees) for different levels of production are shown in the following table. Quantity VC FC TC AVC ATC MC 0 0 5 250 10 470 15 700 20 980 25 1350 30 1850 35 2520 40 3400 45 4530 50 5950

When production is 40 units, the average total cost is ________.

  1. Rs. 48.40

  2. Rs. 75.50

  3. Rs. 85

  4. Rs. 92.50
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

At 40 units, Total Cost (TC) = Fixed Cost (FC) + Variable Cost (VC). From the table, FC = 300, VC = 3400. TC = 3700. Average Total Cost (ATC) = TC / Quantity = 3700 / 40 = 92.50.

Multiple choice

Passage

Directions: In the following item, quantity I and quantity II are given. Determine the relationship between the quantities and choose the appropriate option. (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I = Quantity II or the relationship cannot be established from the information given (5) If Quantity I ≤ Quantity II

The average weight of a class of 16 students is 25. Quantity I: The average weight of the class, if 8 students joined with an average weight of 26. Quantity II: The average weight of the class, if 10 students joined with an average weight of 25.5.

  1. (1)

  2. (2)

  3. (3)

  4. (4)

  5. (5)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial total weight = 16 * 25 = 400. Quantity I: (400 + 8 * 26) / 24 = 608 / 24 = 25.33. Quantity II: (400 + 10 * 25.5) / 26 = 655 / 26 = 25.19. Since 25.33 > 25.19, Quantity I > Quantity II.

Multiple choice

Passage

Directions: Study the table and answer the question that follows. The given table shows the number of seats reserved in different classes in a train on six days of a week. The number of seats available in each class is given in brackets. Day 2 nd Class Non-AC (900) 1 st Class Non-AC (400) AC III Tier (500) AC II Tier (300) AC 1 st Class (120) Monday 690 240 340 195 70 Tuesday 720 250 410 240 90 Wednesday 840 280 360 175 85 Thursday 800 360 420 160 95 Friday 750 275 350 170 100 Saturday 760 320 380 230 108

The total vacant seats in AC 1st Class on all the given six days is what percentage of the average number of reserved seats in 2nd Class Non-AC on Wednesday and Saturday?

  1. 21.5%

  2. 25%

  3. 20%

  4. 20.5%
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: The following question is accompanied by three statements (I), (II), and (III). You have to determine which statement(s) is/are sufficient/necessary to answer the question.

What are the average marks of all the students of the class? I. Average marks of the boys of the class are 55 and the average marks of the girls of the class are 70. II. Ratio of the number of boys to the total number of students in the class is 3 : 5. III. Number of boys in the class is 5 more than the number of girls in the class and the average marks of boys is 15 less than the average marks of girls.

  1. Only I and II

  2. Only I and III

  3. Only I and either II or III

  4. Only I

  5. All three statements
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let B be number of boys, G be girls. Avg = (55B + 70G) / (B+G). Statement I gives avg marks. Statement II gives B/(B+G) = 3/5, so B = 3x, G = 2x. Avg = (55*3x + 70*2x) / 5x = (165+140)/5 = 61. Both I and II are sufficient. Statement III gives B = G + 5 and AvgB = AvgG - 15. This is not enough to find the total average without knowing the total number of students.

Multiple choice

Passage

Directions: Number of Boys and Girls (in hundreds) in six different years in 5 different schools data is given below: Schools A B C D E Years Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls 2014 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6 2015 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6 2016 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4 2017 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7 2018 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5 2019 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7

What is the average number of girls in school A in all years taken together?

  1. 600

  2. 800

  3. 860

  4. 760
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Girls in school A: 3.6 + 4.2 + 6.9 + 9.6 + 12.9 + 14.4 = 51.6 (hundreds). Average = 51.6 / 6 = 8.6 (hundreds) = 860.