P = 25 × 38 and Q = 23 × 3K . If the highest common factor of P and Q is 23 × 33, then what is the value of K?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3.
P = 25 × 38 and Q = 23 × 3K
Highest common factor of P and Q = 23 × 33
Comparing the values of P and Q with HCF we get
Q = 23 × 33
Hence, K = 3