IPMAT Indore 2022 (SA) - Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________. | PYQs + Solutions

IPMAT Indore 2022

Arithmetic

Medium

Entered answer:

✅ Correct Answer: 3150

Related questions:

IPMAT Indore 2024

The following table shows the number of employees and their median age in eight companies located in a district.

Company	Number of employees	Median age
A	32	24
B	28	30
C	43	39
D	39	45
E	35	49
F	29	54
G	23	59
H	16	63

It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.

The highest possible age of an employee of company A is:

IPMAT Indore 2025

Suppose $a, b$ and $c$ are three real numbers such that Max $(a, b, c) \ +$ Min $(a, b, c) = 15$ , and Median $(a, b, c) \ -$ Mean $(a, b, c) = 2.$ Then the median of $a, b$ and $c$ is

IPMAT Indore 2021

A class consists of 30 students. Each of them has registered for 5 courses. Each course instructor conducts an exam out of 200 marks. The average percentage marks of all 30 students across all courses they have registered for, is 80%. Two of them apply for revaluation in a course. If none of their marks reduce, and the average of all 30 students across all courses becomes 80.02%, the maximum possible increase in marks for either of the 2 students is

IPMAT Indore 2022 (SA) PYQs

Keyboard Shortcuts