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) xy z
(b) yz
(c) xz y
(d) xyz
The correct answers to the above question in:
Answer: (d)
Using Rule 1,
1st number × 2nd number = L.C.M. × H.C.F
Product of two numbers
= HCF × LCM
⇒ Numbers = zx and zy
∴ zx × zy = z × LCM
⇒ LCM = xyz
Discuss Form
Read more finding with ratios Based Quantitative Aptitude Questions and Answers
Question : 1
Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is
a) 60
b) 100
c) 80
d) 50
Answer »Answer: (a)
Let the number be 3x and 4x.
Their LCM = 12x
According to the question,
12x = 240
⇒ x = $240/12$ = 20
∴ Smaller number = 3x = 3 × 20 = 60
Question : 2
The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is
a) 40
b) 28
c) 32
d) 64
Answer »Answer: (a)
If the numbers be 2x and 3x,
then LCM = 6x
∴ 6x = 48 ⇒ x = 8
∴ Required sum = 2x + 3x = 5x
= 5 × 8 = 40
Question : 3
Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is
a) 28
b) 21
c) 24
d) 84
Answer »Answer: (a)
Let the numbers be 3x and 4x.
∴ Their LCM = 12x
∴ 12x = 84
⇒ x = $84/12$ = 7
∴ Larger number = 4x = 4 × 7 = 28
Question : 4
Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12. The L.C.M. of the numbers is
a) 96
b) 144
c) 192
d) 72
Answer »Answer: (b)
Let the numbers be 2x, 3x and 4x respectively.
∴ HCF = x = 12
∴ Numbers are : 2 ×12 = 24
3 ×12 = 36, 4 ×12 = 48
LCM of 24, 36, 48
= 2 × 2 × 2 × 3 × 3 × 2 = 144
Question : 5
The ratio of two numbers is 4 : 5 and their L.C.M. is 120. The numbers are
a) 24, 30
b) 30, 40
c) 40, 32
d) 36, 20
Answer »Answer: (a)
Suppose the numbers are 4x and 5x respectively
According to question
x × 4 × 5 = 120
⇒ x = 6
∴ Required numbers
= 4 × 6 = 24
and = 5 × 6 = 30
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
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »