model 1 Basic formula of LCM & HCF Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on LCM & HCF topic of quantitative aptitude

Questions : The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.

(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

Practice LCM & HCF (model 1 Basic formula of LCM & HCF) Online Quiz

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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: (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: (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: (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.

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