Question

HCF of two numbers is 25 and their LCM is 3600. If one of the numbers is 400, then the other number is
(1) 252
(2) 225
(3) 522
(4) 360​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

HCF of two numbers is 25 and their LCM is 3600. If one of the numbers is 400, then the other number is

(1) 252

(2) 225

(3) 522

(4) 360

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 it is given that

HCF = 25 and

LCM = 3600

One of the number = 400

Now we have

HCF × LCM = Product of the numbers

⇒ 25 × 3600 = 400 × Second number

∴ Second number

$\sf = \dfrac{25 \times 3600}{400}$

$\sf = 25 \times 9$

$\sf = 225$

FINAL ANSWER

Hence the correct option is (2) 225

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