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CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS

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CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 21

If a, b, c, and d are integers such that a + b + c + d = 30, then the minimum possible value of (a - b)2 + (a - c)2 + (a - d)2 is (TITA)

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CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 28

Let m and n be positive integers, If x2 + mx + 2n = 0 and x2 + 2nx + m = 0 have real roots, then the smallest possible value of m + n is

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CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 43

For all real numbers x the condition |3x - 20| + |3x - 40| = 20 necessarily holds if

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 44

For how many integral values of m (3m-8)x2 -2mx+4>0?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 45

Find the number of terms in the expansion of (p + q)3(r + s + t)4.

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 46

Find the sum of coefficients of the polynomial (2x-1)3(x-3)2+ (1-3x) 6(x-2)2+ (x+2)2(1-x)4?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 47

If p and q are root of the equation (x+1)(x+8)+2=0. What are the roots of (x-p)(x-q)+10=0?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 48

If p3 + q3+ r3 – 3pqr= p+q+r

q= 1997

r= 1998

Find p, if p is a positive number?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 49

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 50

If p3 + q3+ r3 – 3pqr= p+q+r

q= 1997

r= 1998

Find p, if p is a positive number?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 51

Find the sum of coefficients of the polynomial (2x-1)3(x-3)2+ (1-3x) 6(x-2)2+ (x+2)2(1-x)4?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 52

If p and q are root of the equation (x+1)(x+8)+2=0. What are the roots of (x-p)(x-q)+10=0?

CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 53

P(x) is a quadratic polynomial such that P(1) = 0, P(2) = 1 and P(3) = 4. Find P(4).

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CAT QA QUADRATIC EQUATION POLYNOMIALS QUESTIONS - Question 56

If x=4100, y= 5100, z= 6100. Which of the following is true?

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