JIPMAT 2023 (QA) PYQs

Arrange the following fractions in descending order.

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

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

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

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

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:

The expression 2x³ + ax² + bx + 3, where a and b are constants, has a factor of x-1 and leaves a remainder of 15 when divided by x + 2. Then, (a, b) =