NIFT PG 2020 Question Paper with solutions

Question : 10 of 150

Marks: +1, -0

The HCF and LCM of two number are 21 and

84,

respectively. If the ratio of the two numbers is

1: 4,

then the larger of the two numbers is

Solution:

Let the numbers be

x

and

4 x

.
Product of numbers

= {HCF} × {LCM}

∴ x × 4 x=21 × 84 ⇒ x^{2}=21 × 21 ⇒ x=21

Hence, larger number

=4 x=84

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