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) 1
(b) 0
(c) 3
(d) 2
The correct answers to the above question in:
Answer: (d)
Let the numbers be 12x and 12y where x and y are prime to each other.
∴ LCM = 12xy
∴ 12xy = 924
⇒ xy = 77
∴ Possible pairs = (1,77) and (7,11)
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Read more finding lcm Based Quantitative Aptitude Questions and Answers
Question : 1
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
Question : 2
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 : 3
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 : 4
The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be :
a) 150
b) 160
c) 140
d) 120
Answer »Answer: (b)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
HCF × LCM = Product of two numbers
⇒ 8 × LCM = 1280
⇒ LCM = $1280/8$ =160
Question : 5
The product of two numbers is 216. If the HCF is 6, then their LCM is
a) 60
b) 72
c) 36
d) 48
Answer »Answer: (c)
Let the numbers be 6x and 6y where x and y are prime to each other.
∴ 6x × 6y = 216
⇒ xy = $216/{6 × 6}$ = 6
∴ LCM = 6xy = 6 × 6 = 36
Question : 6
The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?
a) 48
b) 24
c) 60
d) 56
Answer »Answer: (c)
HCF of two numbers is 8.
This means 8 is a factor common to both the numbers. LCM is common multiple for the two numbers, it is divisible by the two numbers. So, the required answer = 60
LCM & HCF Shortcuts and Techniques with Examples
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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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