Question : 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?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 5
Answer (1)
21st Jan, 2024
Correct Answer: 3
Solution :
Given: P = 2
5
× 3
8
and Q = 2
3
× 3
K
The HCF of P and Q = 2
3
× 3
3
⇒ HCF(2
5
× 3
8
, 2
3
× 3
K
) = 2
3
× 3
3
By comparison, the value of K = 3.
Hence, the correct answer is 3.
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