SSC MTS 2022 PYQ — Question 61

The correct answer is option 4 i.e K1 × K2

 

As we know that the product of two distinct prime numbers is equal to the product of the HCF(highest common factor) and LCM(least common multiple) of those
numbers.

So HCF x LCM  = K1 x K2 ....Eq(1)

So the product of the highest common factor and the least common multiple of K1 and K2=

K1 x K2

By example

We can understand this by assuming the values of K1 and K2.

So K1 = 2

K2 = 3

So the HCF and LCM of K1 and K2 are 1 and 6.

Now we can put these in Eq.(i).

1 x 6 - 2 × 3

6 = 6

The given equation is satisfied.