model 1 basic average questions Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

If the average of x and $1/x (x ≠ 0)$ is M, then the average of $x^2$ and $1/x^2$is :

a) $1-M^2$

b) $1-2M$

c) $2M^2-1$

d) $2M^2+1$

Answer: (c)

Question : 12

If the average of m numbers is $n^2$ and that of n numbers is $m^2$, then average of (m + n) numbers is

a) $m/n$

b) m+n

c) mn

d) m-n

Answer: (c)

The average of m numbers = n2

Total number of ‘m’ numbers = m × n²

And the average of n numbers = m2

Total number of ‘n’ numbers = n × m²

∴ Average of (m + n) numbers

= ${mn² + m²n}/{m + n} = {mn(n + m)}/{m + n} = mn$

Question : 13

Numbers of boys and girls are ‘x’ and ‘y’ respectively. Ages of a girl and a boy are ‘a’ years and ‘b’ years respectively. The average age (in years) of all boys and girls is

a) $\text"x+y"/\text"bx+ay"$

b) $\text"x+y"/\text"bx+ay"$

c) $\text"bx+ay"/\text"x+y"$

d) $\text"x+y"/\text"ax+by"$

Answer: (c)

According to question,

Total age of boys = ap years

Total age of girls = bq years

∴ Required average =${ap + bq}/{p +q}$

Question : 14

Six friends have an average height of 167 cms. A boy with height 162 cm leaves the group. Find the new average height.

a) 169 cm

b) 167 cm

c) 166 cm

d) 168 cm

Answer: (d)

Total height of 5 friends

= (6 × 167 – 162) cm.

= (1002 – 162) cm.

= 840 cm.

∴ Required average = $840/ 5$

= 168 cm.

Question : 15 [SSC CGL Tier-I 2015]

The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).

a) 66

b) 43

c) 65

d) 67

Answer: (a)

Using Rule 18,

If in the group of N persons, a new person comes at the place of a person of ‘T’ years, so that average age, increases by ‘t’ years

Then, the age of the new person = T + N.t

If the average age decreases by ‘t’ years after entry of new person, then the age of the new person = T – N.t

Here, N = 15, T = 42, t = 1.6

Weight of new oarsman

= (42 + 15 × 1.6) kg.

= (42 + 24) kg. = 66 kg.

IMPORTANT quantitative aptitude EXERCISES

model 1 basic average questions Shortcuts »

Click to Read...

model 1 basic average questions Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

New 150+ Percentage Questions For IBPS Clerk Prelims 2024

Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam

04-May-2024 by Careericons

Continue Reading »

Classification Reasoning MCQ For IBPS Clerk Prelims 2024

Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024

03-May-2024 by Careericons

Continue Reading »

Ratio and Proportion Questions with Solutions, IBPS Clerk

New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam

02-May-2024 by Careericons

Continue Reading »

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »