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 A

Explanation:

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