The HCF and the LCM of two numbers are 35 and 840, respectively. If the ratio of the two numbers is 3 : 8, then the smaller of the two numbers is:

35 280 105 210

105

HCF × LCM = Product of the numbers 35 × 840 = 3x × 8x x2 = 1225 x = 35 so the smaller number = 35 × 3 = 105