model 1 Basic formula of LCM & HCF Practice Questions Answers Test with Solutions & More Shortcuts
LCM & HCF PRACTICE TEST [5 - EXERCISES]
model 1 Basic formula of LCM & HCF
model 2 find lcm of numbers
model 3 find hcf of numbers
model 4 addition, subtraction, multiplication and division with lcm & hcf
model 5 lcm & hcf vs ratios
Question : 26
The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32, then the other number is
a) 80
b) 48
c) 112
d) 96
Answer »Answer: (a)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
We know that,
First number × Second number = LCM × HCF
⇒ Second number = ${16 × 160}/32$ = 80
Question : 27 [SSC Investigator 2010]
The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is
a) 144
b) 126
c) 238
d) 198
Answer »Answer: (b)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
Second number =${HCF × LCM}/{First number} $
= ${18 ×378}/54$ = 126
Question : 28 [SSC CGL Prelim 2008]
The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is
a) 3
b) 4
c) 1
d) 2
Answer »Answer: (d)
Let the number be 15x and 15y, where x and y are co –prime.
∴ 15x × 15y = 6300
⇒ xy = $6300/{15 ×15}$ = 28
So, two pairs are (7, 4) and (14, 2)
Question : 29 [SSC CGL Tier-1 2011]
The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?
a) 12
b) 8
c) 35
d) 24
Answer »Answer: (c)
LCM = 2 × 2 × 2 × 3 × 5
Hence, HCF = 4, 8, 12 or 24
According to question
35 cannot be H.C.F. of 120.
Question : 30
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
IMPORTANT quantitative aptitude EXERCISES
model 1 Basic formula of LCM & HCF Shortcuts »
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Click to Start..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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