IPMAT Indore: Number SystemIntegral Solutions. Free, no login required.

Q1:

IPMAT Indore 2026

Integral Solutions

Medium

The number of integer solutions (x,y)(x, y) of the inequality x2+y2≤10x^2 + y^2 \leq 10 is

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2026 MCQ question 1

Q2:

IPMAT Indore 2025

Integral Solutions

Medium

If mm and nn are two positive integers such that 7m+11n=2007m + 11n = 200, then the minimum possible value of m+nm + n is

Q3:

IPMAT Indore 2023

Integral Solutions

Medium

Let [x][x] denote the greatest integer not exceeding xx and {xx} =x−[x]= x - [x] If nn is a natural number, then the sum of all values of xx satisfying the equation 2[x]=x+n2[x] = x + n{xx} is

Answer options
Option 1
Correct Answer
Explanation for IPMAT Indore 2023 MCQ question 3

Q4:

IPMAT Indore 2019

Integral Solutions

Hard

If ∣x∣<100|x| <100 and ∣y∣<100|y| <100, then the number of integer solutions of (x,y)(x, y) satisfying the equation 4x+7y=34x + 7y = 3 is