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
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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 …
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