Three metal rods of length 77 cm, 110 cm and 121 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 28.
Concept used:
Prime factorization method
Calculations:
Prime factorization of 77 = 7 × 11
Prime factorization of 110 = 2 × 5 × 11
Prime factorization of 121 = 112
HCF of 77, 110 and 121 = 11
Maximum number of pieces,
⇒ 77/11 + 121/11 + 110/11
⇒ 7 + 11 + 10
⇒ 28