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CDS || Mathematics || Algebra || 01-04-2019

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Question 1

What is the value of

Question 2

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

Question 3

If ,, are real numbers such that which one of the following is correct ?

Question 4

If the HCF of x3 – 27 and x3 + 4x2 + 12x + k is quadratic polynomial, then what is the value of k?

Question 5

What is log10(3/2) + log10(4/3) + log10(5/4) + ....  up to 8 terms equal to?

Question 6

is divisible by

Question 7

For which value of a and b will the following two equation have infinitely many solution,
4x + 5y – 2 = 0 and (2a + 7b)x + (a + 8b)y – 2b + a – 1 = 0

Question 8

If p(x) is a common multiple of degree 6 of the polynomials f(x)=x3+x2-x-1 and g(x)=x3-x2+x-1 then which one of the following is correct?

Question 9

If a + b = 8 and ab = 15, then what is the value of a3 + b3?

Question 10

if is equal to which one of the following?
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