model 1 Basic formula of LCM & HCF 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) 135
(b) 132
(c) 144
(d) 140
The correct answers to the above question in:
Answer: (c)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
First number × Second number = HCF × LCM
⇒ 864 × Second number
= 96 × 1296 ⇒ Second number
${96 × 1296}/864$ = 144
Discuss Form
Read more finding lcm Based Quantitative Aptitude Questions and Answers
Question : 1
L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then the other number is :
a) 1690
b) 70
c) 1264
d) 364
Answer »Answer: (d)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
Given that
L.C.M. of two numbers = 1820
H.C.F. of those numbers = 26
One of the number is 130
∴ Another number = ${1820×26}/130$ = 364
Question : 2
The HCF of two numbers 12906 and 14818 is 478. Their LCM is
a) 200043
b) 400086
c) 800172
d) 600129
Answer »Answer: (b)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
Product of two numbers = HCF × LCM
⇒ 12906 × 14818 = LCM × 478
⇒ LCM = ${12906 × 14818}/478$
= 400086
Question : 3
The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is
a) 25
b) 20
c) 5
d) 15
Answer »Answer: (d)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
First number × second number = LCM × HCF
Let the second number be x.
∴ 10x = 30 × 5
>⇒ $x ={30 × 5}/10$ = 15
Question : 4
The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is
a) 528
b) 147
c) 264
d) 132
Answer »Answer: (d)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
First number = 2 × 44 = 88
∴ First number × Second number
= H.C.F. × L.C.M.
⇒ 88 × Second numebr
= 44 × 264
⇒ Second number = ${44 × 264}/88$ = 132
Question : 5
LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:
a) 25
b) 5
c) 225
d) 45
Answer »Answer: (d)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
LCM × HCF = 1st Number× 2nd Number
⇒225 × 5 = 25 × x
∴ x = ${225 × 5}/25$ = 45
Question : 6
The H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is
a) 36
b) 48
c) 16
d) 24
Answer »Answer: (c)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
First number × second number = HCF × LCM
⇒ 24 × second number = 8 × 48
∴ Second number =${8 × 48}/24$ = 16
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 »