Two numbers are in the ratio 3 5 and the difference between the square of the given numbers is equal...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Two numbers are in the ratio 3:5, and the difference between the square of the given numbers is equal to the square of 36.

Quantity I: Find the difference between the digits of the smaller number.

Quantity II: Find the tens place digit of the larger number.

Quantity I < Quantity II

Quantity I > Quantity II

Quantity II > Quantity I

Quantity I >= Quantity II

No relation.

(5x)^2 – (3x)^2 = 36^
=> x = 9 27 and 45 are the two numbers.
From I: 7-2 = 5
From II: 4
Quantity I > Quantity II

Hence, option 2 is the correct answer.

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