114. यदि a : b = 2:3, b: ८ = 4:5 तथा C: d = 6:7 हो, तो a : d का मान होगा- (A) 8 : 15 (B) 16 : 35 (C) 12:36 (D) 5: 12

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( frac{a}{b}=frac{2}{3}, quad frac{b}{c}=frac{4}{5}, quad frac{c}{d}=frac{6}{7} ) ( frac{a}{d}=? ) ( frac{a}{d}=frac{a}{b} times frac{b}{c} times frac{c}{d}=frac{2}{3} times frac{4}{5} times frac{b}{7}=frac{2 times 4 times 6}{3 times 5 times 7}= ) ( frac{a}{4}=frac{48}{105}=frac{16}{35} ) ( therefore a: d=16: 35 )

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