model 7 average on ages/weight 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 30 students in a class. The average age of first 10 students is 12.5 years. The average age of the remaining 20 students is 13.1 years. The average age (in years) of the students of the whole class is

(a) 12.7 years

(b) 12.5 years

(c) 12.9 years

(d) 12.8 years

The correct answers to the above question in:

Answer: (c)

Using Rule 10,

( If the average of 'n1 ’ numbers is a1 and the average of 'n2 ’ numbers is a2 , then average of total numbers n1 and n2 is

Average = ${n_1a_1 + n_2a_2}/{n_1 + n_2}$ )

Average age = ${10 × 12.5 + 20 × 13.1}/{10+20}$

= ${125+262}/30$ =12.9 years

Practice average (model 7 average on ages/weight) 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 ages weights Based Quantitative Aptitude Questions and Answers

Question : 1

The average age of 30 boys in a class is 15 years. One boy, aged 20 years, left the class, but two new boys came in his place whose age differ by 5 years. If the average age of all the boys now in the class becomes 15 years, the age of the younger newcomer is :

a) 15 years

b) 20 years

c) 8 years

d) 10 years

Answer: (a)

Total age of 30 boys = 30 × 15 = 450 years

One boy, aged 20 years, left the class

Now, total age of 29 boys = 450 – 20 = 430 years

Again, two new boys join the class

Then, the total age of 31 boys = 15 × 31 = 465 years

∴ Age of two new boys = 465 – 430 = 35 years

Let the individual age of two boys be x and y years

∴ x + y = 35

x – y = 5 (According to the question)

∴ 2x = 40

x = $40/2$ = 20 years

∴ y = 15 years

∴ Age of the younger new comer = 15 years

Question : 2

The average age of a family of 10 members is 20 years. If the age of the youngest member of the family is 10 years, then the average age of the members of the family just before the birth of the youngest member was approximately

a) 12.5 years

b) 27.14 years

c) 11$1/9$ years

d) 14.28 years

Answer: (c)

Sum of the present age of 10 members

= 20 × 10 = 200 years

Total age of 9 members, 10 years ago = 100 years

Required average = $100/9$ =11$1/9$ years

Question : 3

From a class of 42 boys, a boy aged 10 years goes away and in his place, a new boy is admitted. If on account of this change, the average age of the boys in that class increases by 2 months, the age of the newcomer is :

a) 17 years

b) 19 years

c) 12 years 2 months

d) 10 years 6 months

Answer: (a)

Age of new boy = $(10 + {2 × 42}/12)$ = 17 years

Question : 4

The average age of group of 20 girls is 15 years and that of another group of 25 boys it is 24 years. The average age of the two groups mixed together is

a) 20 years

b) 19.5 years

c) 21.5 years

d) 21 years

Answer: (a)

Required average age = $({20 × 15 + 25 × 24}/{20 + 25})$years

= $({300 + 600}/45)$years

= $(900/45)$ years = 20 years

Question : 5

Average age of 8 men is increased by 3 years when two of them whose age are 30 and 34 years are replaced by 2 persons. What is the average age of the 2 persons ?

a) 32 years

b) 24 years

c) 48 years

d) 44 years

Answer: (d)

Sum of the age of two new persons

= 30 + 34 + 3 × 8 = 88 years

∴ Required average = $88/2$ = 44 years

Question : 6

There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a newcomer. If the average of the class thereby, was lowered by one month, the age of the newcomer is

a) 15 years

b) 14 years

c) 17 years

d) 16 years

Answer: (d)

Total age decrease = 24 × 1 = 24 months = 2 years

∴ Age of newcomer = 18 – 2 = 16 years.

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 »