Cracking IPMAT Quant: Master Integral Solutions with Headache Tutorials! 🎯
- Aug 21
- 2 min read
Q1.Find the number of natural number combinations of the values of X and Y in each of the following cases: 5X + 12Y = 245
Q2.Find the number of natural number combinations of the values of X and Y in each of the following cases: 3X + 5Y = 99
Q3.The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x ≤ y is:
a.13
b.14
c.18
d.20
Q4.Number of all possible non-negative integer solutions for : 2x + 11y = 70
Q5.Find all possible non-negative integer solutions for :4x + 10y = 40
a.2
b.3
c.4
d.None of the above
Q6.Find all possible non-negative integer solutions for : 6x + 9y = 100
Q7. Find all possible non-negative integer solutions for : x + 2y + 7z = 10
Q8. Find all non-negative integer solutions for (x, y) where:x + y = 4
Q9. Find all non-negative integer solutions for (x, y) where: 2x + 3y = 18
Q 10.Find all non-negative integer solutions for (x, y) where:11x + 2y = 30
Q11.Find all non-negative integer solutions for (x, y) where: 4x + 6y = 36
a.2
b.3
c.4
d.None of the above
Q12.How many non-negative integer solutions for x and y exist if: x + y = 100
Q13.How many non-negative integer solutions for x and y exist if: 4x – y = 100
a.50
b.27
c.ထ
d.None
Q14.How many non-negative integer solutions for x and y exist if: 2x + 5y = 100
Q15. How many non-negative integer solutions for x and y exist if: 3x + 6y = 100
Q16.Find solutions for the following (where x, y and z are all natural numbers) x + 3y + 10z = 25
Q 17. Find solutions for the following (where x, y and z are all natural numbers) x + 7z – 20 = 10 – 2y + z
Q 18. If 3x + 7y = 84 then the number of non negative integer solutions for (x, y) are
a.4
b.5
c.3
d.6
Q 19.If 5x + 4y = 150 where x and y are positive integers then the values that y can take
a.Multiples of 10
b.Multiples of 4
c.Any even number
d.Multiples of 5
Q 20. Find the number of pairs (x, y) of 7x + 13y = 364, when (x, y) are Non-negative integers.
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