RRB Assistant Loco Pilot and Technician Model Paper 16 with key

Question : 39 of 75

Marks: +1, -0

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 number is 2400, then the second number is:

Validate

Solution:

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

a/8

b/9

c/{12}

a = 8k; b= 9k; c = 12k
given 8k×12k = 2400

k^2

{2400}/{96}

⇒ k = 5
Second number = 9k = 9×5 = 45

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