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) 48
(b) 24
(c) 60
(d) 56
The correct answers to the above question in:
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
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Read more finding lcm Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
a) 1
b) 0
c) 3
d) 2
Answer »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)
Question : 4
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 : 5
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 : 6
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
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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