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Q.

The HCF and LCM of the two numbers are 16 and 192 respectively. If one of the numbers is 64 the other one is.


Sub Grade: 9


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a

48

b

24

c

72

d

None 

answer is A.

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Detailed Solution

Let a and b 2 number such that
a= 64
HCF ( a, b )= 16   and LCM ( a, b = 192 )
∵ a X b = HCF x LCM ( relation between HCF and LCM of 2 no.)
aXb  = HCF (a,b0 X LCM (a,b)
64 X b = 16 X 192 / 64
B = 48
∴ second no. is 48.
 
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The HCF and LCM of the two numbers are 16 and 192 respectively. If one of the numbers is 64 the other one is.Sub Grade: 9