model 5 lcm & hcf vs ratios 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 ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is

(a) 150

(b) 130

(c) 140

(d) 160

The correct answers to the above question in:

Answer: (d)

Let the numbers be 4x and 5x.

∴ H.C.F. = x = 8

∴ Numbers = 32 and 40

∴Their LCM = 160

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Read more finding with ratios Based Quantitative Aptitude Questions and Answers

Question : 1

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are

a) 4, 8, 12

b) 12, 24, 36

c) 5, 10, 15

d) 10, 20, 30

Answer: (b)

Numbers = x , 2 x and 3 x (let)

Their H.C.F. = x = 12

∴ Numbers = 12, 24 and 36

Question : 2

The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

a) 48

b) 12

c) 108

d) 84

Answer: (d)

HCF of numbers = 21

∴ Numbers = 21x and 21y

Where x and y are prime to each other.

Ratio of numbers = 1 : 4

∴ Larger number = 21 × 4 = 84

Question : 3

The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is :

a) 15

b) 10

c) 60

d) 12

Answer: (c)

If the numbers be 3x and 4x,

then

HCF = x = 5

∴ Numbers = 15 and 20

∴ LCM = 60

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GET LCM & HCF PRACTICE TEST 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
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