In which city did the gender gap, in terms of 2025 prices, change the least, from 2005 to 2015, in terms of percentage?

From the passage: In an 8-week course, a professor administered a test at the end of eac...

If Ravi scored 1 mark in the second test, what is the maximum possible value of Sumana's total marks in all the eight tests together?

From the passage: The diagram below represents a road network connecting five towns, nam...

Tyrion Lannister drove from Meereen to Oldtown, then from Oldtown to Lannisport, and finally from Lannisport to Winterfell, always taking the shortest paths. He always drove at a speed 10 km/hr below the maximum speed limits for the stretches he took. What was his total driving t…

Arun selected an integer x between 2 and 40, both inclusive. He noticed that the greatest common divisor of the selected integer x and any other integer between 2 and 40, both inclusive, is 1. How many different choices for such an x are possible?

Eight employees of an organization have been rated on a scale of 1 to 50 for their performance. All ratings are integers. The overall average rating of the eight employees is 30. While the five employees with the highest ratings average 38, the five employees with the lowest rati…

Consider the quadratic function f(x) = ax² + bx + a having two irrational roots, with a and b being two positive integers, such that a, b ≤ 9. If all such permissible pairs (a, b) are equally likely, what is the probability that a + b is greater than 9?

A farmer has a quadrilateral parcel of land with a perimeter of 700 feet. Two opposite angles of that parcel of land are right angles, while the remaining two are not. The farmer wants to do organic farming on that parcel of land. The cost of organic farming is Rs. 400 per square…

For how many distinct real values of x does the equation below hold true? (Consider a > 0.) x²·logₐ(16)/logₐ(32) − logₐ(64)/logₐ(32) − x = 0

There are five dustbins along a circular path at different places. Ramesh takes multiple rounds of the path every morning, always at the same speed. He noticed that it took him a different number of steps to walk between any two consecutive dustbins. Ramesh also noticed that star…