AFCAT Model Paper 4

Given:
A:B=

2

3

:

3

4

and C:B=

1

2

:

3

5

A – C = 121 m
Calculation:
A : B =(

2

3

:

3

4

)×12=8:9
C : B =(

1

2

:

3

5

)×10=5:6
B is common in both ratio so you can equal the ratio of B.
A : B = (8 : 9) × 2 = 16 : 18
C : B = (5 : 6) × 3 = 15 : 18
A : B : C = 16 : 18 : 15
Let the value of A, B and C be 16x, 18x and 15x.
16x – 15x = 121
⇒ x = 121
B = 18x = 18 × 121
√B=11×3√2=33√2m
∴ Required answer √B is 33√2m.