There are two electrical wires, one is 9 m
60 cm long aluminium wire and the other is
5 m 12 cm long copper wire. Find the
maximum length that can be equally cut from
each wire in such a way that the total length
of each wire is exactly divisible by it.
A 40 cm
B 46 cm
C. 64 cm
D. 60 cm
Answers
Answer:
The given two wires are 9m60cm and 5m12cm long. We know that 1m=100cm, therefore,
The length of the respective wires will be:
Aluminium wire =9×100+60=900+60=960cm
Copper wire =(5×100)+12=500+12=512cm
Now, let us factorize the length of the wires as follows:
960=2×2×2×2×2×2×3×5
512=2×2×2×2×2×2×2×2×2
The highest common factor (HCF) is 2×2×2×2×2×2=64
Hence, the maximum length that can be equally cut from each wire in such a way that the total length of each wire is exactly divisible by it is 64cm.
Answer:
(C) C
Step-by-step explanation:
The given two wires are 9m60cm and 5m12cm long. We know that 1m=100cm, therefore,
The length of the respective wires will be:
Aluminium wire =9×100+60=900+60=960cm
Copper wire =(5×100)+12=500+12=512cm
Now, let us factorize the length of the wires as follows:
960=2×2×2×2×2×2×3×5
512=2×2×2×2×2×2×2×2×2