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· 1 Months ago

10/21 > 9/21

Question:

DIRECTIONS: In the following question, two statements numbered I and II are given, on solving them, we get quantities I and II respectively. Compare both the quantities and choose the correct option. 


Quantity I- If A : B = 3 : 4, B : C = 5 : 7 and C : D = 8 : 9, then A : D is equal to:


Quantity II-  A : D = 9/ 21


Options:
A)

Quantity I > Quantity II 

B)

Quantity I < Quantity II

C)

Quantity I ≥ Quantity II

D)

Quantity I ≤ Quantity II

E)

Quantity I = Quantity II or the relation can’t be determined   

Solution:

From Quantity I- 


A:D= \(\cfrac{A}{D}=\cfrac{A}{B}\times\cfrac{B}{C}\times\cfrac{C}{D}\)

=\(\cfrac{3}{4}\times\cfrac{5}{7}\times\cfrac{8}{9}=\cfrac{10}{21}\)


Quantity II- 9/21

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