Ⅰ. √784x + 1234 = 1486Ⅱ. √1089y

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Ⅰ. √784x + 1234 = 1486Ⅱ. √1089y

Home » Aptitude » Quadratic Equation » Question

Direction: In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer
( 1 ) if x > y
( 2 ) if x ≥ y
( 3 ) if x < y
( 4 ) if x ≤ y
( 5 ) if x = y or the relationship cannot be established.

Ⅰ. √784x + 1234 = 1486
Ⅱ. √1089y + 2081 = 2345

1. 1
2. 2
3. 3
4. 4
5. 5

Correct Option: A

According to question ,we can say that
From equation Ⅰ. √784x + 1234 = 1486
⇒ √784x = 252
⇒ 28x = 252
⇒ x = 9
From equation Ⅱ. √1089y + 2081 = 2345
⇒ √1089y = 264
⇒ 33y = 264
⇒ y = 8
∴ x > y
Thus , required answer will be x > y .