If A : B = 3 : 2, B : C = 5 : 4, C : D = 3 : 7 then what is A : B : C : D.

  1. 45 : 30 : 24 : 56
  2. 45 : 30 : 56 : 24
  3. 30 : 45 : 56 : 24
  4. 30 : 56 : 45 : 24

Answer (Detailed Solution Below)

Option 1 : 45 : 30 : 24 : 56
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RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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Given:

A : B = 3 : 2

B : C = 5 : 4

C : D = 3 : 7 

Calculation:

According to the question,

A : B = (3 : 2) × 5 = 15 : 10

B : C = (5 : 4) × 2 = 10 : 8

A : B : C = 15 : 10 : 8

Again,

A : B : C = (15 : 10 : 8) × 3 = 45 : 30 : 24

C : D = (3 : 7) × 8 = 24 : 56

A : B : C : D = 45 : 30 : 24 : 56

∴ The value of A : B : C : D is 45 : 30 : 24 : 56.

Alternate MethodConcept used:

If A : B, B : C, C : D is given then way to find A : B : C : D

Calculation:

According to the question,

A : B : C : D = 45 : 30 : 24 : 56

∴ The value of A : B : C : D is 45 : 30 : 24 : 56.

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