# CAT Exam: Important Questions of Quadratic Equation Questions

# Quadratic Equation Questions

In this blog we will solve and learn about some quadratic equation questions. quadratic equation questions are mostly asked in al CAT examination papers and is one of the important topic for all CAT aspirants.

## Questions:-

**3x + 4|y| = 33. How many integer values of (x, y) are possible?**

- 6
- 3
- 4
- More than 6

**x ^{2} – 9x + |k| = 0 has real roots. How many integer values can ‘k’ take?**

- 40
- 21
- 20
- 41

**Equation x ^{2} + 5x – 7 = 0 has roots a and b. Equation 2x^{2} + px + q = 0 has roots a + 1 and b + 1. Find p + q.**

- 6
- 0
- -16
- 2

**If (3x+2y-22) ^{2} + (4x-5y+9)^{2} = 0 and 5x-4y = 0. Find the value of x+y.**

- 7
- 9
- 11
- 13

**Let x ^{3}– x^{2} + bx + c = 0 has 3 real roots which are in A.P. which of the following could be true**

- b=2,c=2
- b=1,c=1
- b= -1,c = 1
- b= -1,c= -1

**A merchant decides to sell off 100 articles a week at a selling price of Rs. 150 each. For each 4% rise in the selling price he sells 3 less articles a week. If the selling price of each article is Rs x, then which of the below expression represents the rupees a week the merchant will receive from the sales of the articles?**

- 175 – x/2
- x/3 + 156
- 350 – x
^{2}/2 - x
^{2}– 2x + 75

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