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Question 1
When f(x) = 12x3 – 13x2 – 5x + 7 is divided by (3x + 2), then the remainder is
Question 2
If the roots of the equation x2 + bx + c be two consecutive natural numbers, then the value of b2 – 4c is
Question 4
If α and β are roots of the equation x2 + bx + c =0, find the value of ?
Question 5
The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?
Question 6
If ax = b, by = c, cz = a, then the value of xyz is:
Question 7
If a + b + c = 27, then what is the value of (a – 7)3 + (b – 9)3 + (c – 11)3 – 3(a – 7)(b – 9)(c – 11)?
Question 8
If the equation x2 – 5x + 6 =0 and x2 + (p – 3)x + 1 – 3p = 0 have a common root, then the value of p is,
Question 9
If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?
Question 10
If the value of
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May 26CDS & Defence