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Mega Quiz 27 & Weekly Revision II Quantitative Aptitude II CAT 2021 II 19th September

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Question 1

If a + b + c = 8, a3 + b3 + c3 – 3abc = 552, then what is the value of ab + bc + ca?

Question 2

If 3x2 – 11x + 7 = 0, then what is the value of ?

Question 3

If (x – 2) and (x – 4) are factors of x2 + bx + c = 0, then find the values of b and c.

Question 4

If  and m and n are the maximum and minimum value of , then find the value of m – n:

Question 5

If x2 + 4x – 5 = 0 and y2 + 6y – 16 = 0 , then the maximum value of  to which number ?

Question 6

If  x = 2 - 21/3 + 22/3 then the value of x3 - 6x2 + 18x + 18 is-

Question 7

If the equation x3 – 9x2 + 26x – p = 0 has 3 positive real roots, then

Question 8

The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.

Question 9

What is the minimum value of K such that the equation 20x + 27y = K has exactly 8 positive integral solutions?

Question 10

When f(x) = x3 – 3x2 + x + 2 is divided by a polynomial g(x), the quotient and remainder were x – 2 and -2x + 4 respectively. Here, g(x) is equal to
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