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) 204
(b) 240
(c) 260
(d) 320
The correct answers to the above question in:
Answer: (b)
Using Rule 1 :
1st number × 2nd number = L.C. M. × H.C.F,
We have,
First number × second number = LCM × HCF
∴ Second number = ${1920 × 16}/128$ = 240
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Read more finding lcm Based Quantitative Aptitude Questions and Answers
Question : 1
The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be ?
a) 160
b) 150
c) 120
d) 140
Answer »Answer: (a)
Product of two numbers = HCF × LCM
1280 = 8 × LCM
160 = LCM
Question : 2
The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is ?
a) 105
b) 90
c) 60
d) 45
Answer »Answer: (d)
First Number x Second Number = HCF x LCM
Then, 75 x Second Number = 15 x 225
Second Number $latex = ${15 x 225}/75 = 45$
Therefore, other number is 45.
Question : 3
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is
a) 0
b) 1
c) 2
d) 3
Answer »Answer: (c)
The HCF and LCM of two numbers are 12 and 924.
Let the numbers be 12p and 12q where p and q are prime to each other.
∴ LCM = 12pq
∴ 12pq = 924
⇒ pq = 77
∴ Possible pairs are (1 , 77) and (7 ,11)
Hence , required answer is 2.
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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