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Integral Solutions - Past Year Questions

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Q1:

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
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Q2:

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
29
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Q3:

The number of integral solutions of the equation 7(y+1y)−2(y2+1y2)=9 is 7\left(y+\frac{1}{y}\right)-2\left(y^2+\frac{1}{y^2}\right)=9 \text { is }
Answer options
Option: 2
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Integral Solutions - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Integral Solutions Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!