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Integral Solutions - Past Year Questions

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Q1:

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
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Q2:

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
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Q3:

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
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Q4:

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 }
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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.

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