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Two numbers are in ratio 4 : 5 and their LCM is 180. The smaller number is

a) 9
b) 15
c) 36
d) 45

Answer: c
Explanation: Let two numbers be 4x and 5x
Their LCM = 180 and HCF = x
Now,
1st number × 2nd number = LCM × HCF
4x × 5x = 180 × x
20x = 180
x = 9
The smaller number = 4 × 9 = 36

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