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Mathematics Quiz on Algebra : 31.05.2021

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Question 1

On dividing the expression 27x3 + 27x2 y + 9xy2 + y3 by y + 3x, the quotient and remainder are

Question 2

If (x – 2) is a factor of x3 + ax2 + bx + 16 and b = 4a, then respective values of a and b are respectively

Question 3

If xy = 6 and then the value of is

Question 4

Find the roots of the equation 2x2 –5x + 3 = 0

Question 5

The square of a positive integer is more than its five times by 14. What is the positive integer?

Question 6

If a + b = 8 and ab = 4 find the value of a3 + b3

Question 7

If  = , then find the value of

Question 8

If  and , then value of  = ?

Question 9

If p2 + q2 + r2 = 68 and p + q + r = 14, then the value of pq + qr + rp is

Question 10

x2 – y2 – 9z2 + 6yz is factorized as
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