model 5 lcm & hcf vs ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 5 EXERCISES
The following question based on LCM & HCF topic of quantitative aptitude
(a) 4, 8, 12
(b) 12, 24, 36
(c) 5, 10, 15
(d) 10, 20, 30
The correct answers to the above question in:
Answer: (b)
Numbers = x , 2 x and 3 x (let)
Their H.C.F. = x = 12
∴ Numbers = 12, 24 and 36
Discuss Form
Read more finding with ratios Based Quantitative Aptitude Questions and Answers
Question : 1
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 »Answer: (d)
Let the numbers be 4x and 5x.
∴ H.C.F. = x = 8
∴ Numbers = 32 and 40
∴Their LCM = 160
Question : 2
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 »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 : 3
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 »Answer: (c)
If the numbers be 3x and 4x,
then
HCF = x = 5
∴ Numbers = 15 and 20
∴ LCM = 60
Question : 4
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 »Answer: (b)
L.C.M. of 28 and 42
2 | 28, | 42 |
2 | 14, | 21 |
7 | 7, | 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
LCM & HCF Shortcuts and Techniques with Examples
-
model 1 Basic formula of LCM & HCF
Defination & Shortcuts … -
model 2 find lcm of numbers
Defination & Shortcuts … -
model 3 find hcf of numbers
Defination & Shortcuts … -
model 4 addition, subtraction, multiplication and division with lcm & hcf
Defination & Shortcuts … -
model 5 lcm & hcf vs ratios
Defination & Shortcuts …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
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
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
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
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
Continue Reading »