model 5 lcm & hcf vs ratios Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

The LCM and the HCF of the numbers 28 and 42 are in the ratio :

a) 3 : 2

b) 6 : 1

c) 2 : 3

d) 7 : 2

Answer: (b)

L.C.M. of 28 and 42

228, 42
214, 21
77, 21
1, 3

= 2 × 2 × 7 × 3 = 84

H.C. F. of 28 and 42

∴ H.C. F = 14

Required ratio = $84/14$ = 6 : 1

Question : 12 [SSC CAPFs SI 2013]

The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is :

a) 15

b) 10

c) 60

d) 12

Answer: (c)

If the numbers be 3x and 4x,

then

HCF = x = 5

∴ Numbers = 15 and 20

∴ LCM = 60

Question : 13 [SSC CGL 2015]

The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

a) 48

b) 12

c) 108

d) 84

Answer: (d)

HCF of numbers = 21

∴ Numbers = 21x and 21y

Where x and y are prime to each other.

Ratio of numbers = 1 : 4

∴ Larger number = 21 × 4 = 84

Question : 14 [SSC CGL 2014]

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

a) 4, 8, 12

b) 12, 24, 36

c) 5, 10, 15

d) 10, 20, 30

Answer: (b)

Numbers = x , 2 x and 3 x (let)

Their H.C.F. = x = 12

∴ Numbers = 12, 24 and 36

Question : 15

The ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is

a) 150

b) 130

c) 140

d) 160

Answer: (d)

Let the numbers be 4x and 5x.

∴ H.C.F. = x = 8

∴ Numbers = 32 and 40

∴Their LCM = 160

IMPORTANT quantitative aptitude EXERCISES

model 5 lcm & hcf vs ratios Shortcuts »

Click to Read...

model 5 lcm & hcf vs ratios Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

Series Completion Questions & Answers PDF IBPS Clerk 2024

Top Alphabet Number Series Completion based Verbal Reasoning Multiple choice questions with answers PDF, & Free IBPS Mock tests For IBPS Clerk Prelims 2024

06-May-2024 by Careericons

Continue Reading »

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 »