JIPMAT (QA) PYQs

Amicable numbers are a pair of distinct natural numbers (a, b) such that the sum of the proper divisors of a equals b and the sum of the proper divisors of b equals a. Given that (220, y) is a pair of amicable numbers, y equals:

Given below are two statements:

Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1: 5: 12. The product of the two numbers is 18.

Statement (II): The last digit in the decimal representation of 2⁹¹ is 6.

In light of the above statements, choose the most appropriate answer from the options given below.

Arrange the following fractions in descending order.

(A) $\frac{5}{9}$

(B) $\frac{7}{11}$

(C) $\frac{8}{15}$

(D) $\frac{11}{17}$