Question

1. If two numbers are 500 and 400. The ratio of their HCF and LCM is
a. 5:4
b. 4-5
c. 1:20
d. 25:16​

Answer 1

Answer:

a). 5:4 is the ratio of 500 and 400

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If two numbers are 500 and 400. The ratio of their HCF and LCM is

a. 5 : 4

b. 4 : 5

c. 1 : 20

d. 25 : 16

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here the given numbers are 500 and 400

We now prime factorise the given numbers

500 = 2 × 2 × 5 × 5 × 5

400 = 2 × 2 × 2 × 2 × 5 × 5

HCF

= 2 × 2 × 5 × 5

= 100

LCM

= 2 × 2 × 2 × 2 × 5 × 5 × 5

= 2000

Hence the required ratio

= 100 : 2000

= 1 : 20

FINAL ANSWER

Hence the correct option is c. 1 : 20

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