1) Of the three numbers, the ratio of the first and the second is 8:9 and that of the second and third is 3:4. If the product of the first and third numbers is 2400, then the second number is A) 45 B) 40 C) 30 D) 55 E) 60 Answer: Option AExplanation:Let the numbers a,b,c Given a:b =8:9 b:c =3:4 a:b:c =8×3:9×3:9×4 =24:27:36 =8:9:12 Let a8=b9=c12 a=8k, b=9k, c=12k Given 8k×12k =2400 k2=240096 k=5 Second number =9k =9×5 =45