Question

Let a, b, c and d be four natural numbers,where 

a - 999 = b - 888 = c + 77.7% of 1000 = d - (37 × 18)

1. a > b > c > d
2. b > c > a > d
3. a > b > d > c 
4. a = c > d > b 

Answer 1

Correct Answer - Option 3 : a > b > d > c 

Given :

a - 999 = b - 888 = c + 77.7% of 1000 = d - (37 × 18)

Calculations :

a - 999 = b - 888 

a - b =  999 - 888

a - b = 111

⇒ a = b + 111  

Now, 

b - 888 = c + 77.7% of 1000 

b - 888 = c + 777 

b - c = 777 + 888 

⇒ b = c + 1665  

Now, 

c + 777 = d - (37 × 18) 

c + 777 = d - 666 

⇒ d - c = 777 + 666 

⇒ d = c + 1443 

Here we can see that a > b > d > c 

∴ Option 3 will be the correct choice