Find the length of the longest rod which can be used to measure exactly the lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm.
Answer & explanation
Correct answer: option 4
Given lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm or 513 cm , 1134 cm, 1215 cm
513 = 3*3*3*19
1134 = 2*3*3*3*3*7
1215 = 3*3*3*3*3*5
HCF of 513, 1134, 1215 = 27
The correct answer is Option (4) → 27 cm