model 6 find average of excluded number Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on average topic of quantitative aptitude

Questions : There are 50 students in a class. Their average weight is 45 kg. When one student leaves the class the average weight reduces by 100g. What is the weight of the student who left the class ?

(a) 47.9 kg

(b) 49.9 kg

(c) 45 kg

(d) 50.1 kg

The correct answers to the above question in:

Answer: (b)

Weight of the student who left = 50 × 45 – 49 × 44.9

= 2250 – 2200.1 = 49.9 kg.

Practice average (model 6 find average of excluded number) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more excluded numbers Based Quantitative Aptitude Questions and Answers

Question : 1

The mean weight of 34 students of a school is 42 kg. If the weight of the teacher be included, the mean rises by 400 grams. Find the weight of the teacher (in kg).

a) 57 kg

b) 66 kg

c) 55 kg

d) 56 kg

Answer: (d)

Weight of the teacher = 42 kg. + ${35 × 400}/1000$kg

= 42 + 14 = 56 kg.

Aliter : Using Rule 24,

Here, x = $400/100$ = 0.4, n = 34

Weight of teacher = Average + x (n + 1)

= 42 + 0.4 (34 + 1)

= 42 + 14 = 56 kg

Question : 2

The average of five numbers is 140. If one number is excluded, the average of the remaining four numbers is 130. The excluded number is :

a) 134

b) 180

c) 135

d) 150

Answer: (b)

Required number = 5 × 140 – 4 × 130

= 700 – 520 = 180

Aliter : Using Rule 25,

Here, x = (140 – 130) = 10, n = 5

Excluded number = Average + x (n – 1)

= 140 + 10 × 4 = 180

Question : 3

The average of marks of 28 students in Mathematics was 50; 8 students left the school, then this average increased by 5. What is the average of marks obtained by the students who left the school ?

a) 37.5

b) 42.5

c) 50.5

d) 45

Answer: (a)

Total marks of 28 students = 28× 50 = 1400

Total marks of 20 students = 20 × 55 = 1100

∴Total marks of 8 students = 1400 – 1100 = 300

∴ Average = $300/8$ = 37.5

Question : 4

The average weight of 40 children of a class is 36.2 kg. When three more children with weight 42.3 kg, 39.7 kg and 39.5 kg join the class, the average weight of the 43 children in the class is

a) 36.5 kg

b) 38.35 kg

c) 39.2 kg

d) 37.3 kg

Answer: (a)

Total weight of 40 children = 40 × 36.2 kg = 1448 kg

Total weight of 43 children = 1448 + 42.3 + 39.7 + 39.5 = 1569.5 kg

∴ Required average weight = $1569.5/43$ = 36.5 kg

Question : 5

The average of five numbers is 7. When three new numbers are included, the average of the eight numbers becomes 8.5. The average of the three new numbers is

a) 10.5

b) 11

c) 9

d) 11.5

Answer: (b)

Sum of the three new numbers

= 8 × 8.5 – 5 × 7 = 68 – 35 = 33

∴ Required average = $33/3$ = 11

Question : 6

Average weight of 25 students of a class is 50 kg. If the weight of the class teacher is included, the average is increased by 1 kg. The weight of the teacher is

a) 77 kg

b) 74 kg

c) 76 kg

d) 75 kg

Answer: (c)

Weight of teacher = 50 + 26 × 1 = 76 kg

Aliter : Using Rule 24,

( If a new member is added in a group then. age (or income) of added member = Average (or income) ± x (n + 1)

where x = increase (+) or decrease (–) in average age (or income) n = Number of members. )

Here, N = 50, T = 45, t = $1/10$ = 0.1

Weight of teacher = Average + × (n + 1)

= 50 + 1 (25 + 1)

= 50 + 26 = 76 kg

Recently Added Subject & Categories For All Competitive Exams

Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024

Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam

17-May-2024 by Careericons

Continue Reading »

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »