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CDS || Mathematics || Algebra || 15-04-2019

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Question 1

Consider the following pairs of numbers:
1) (8, 12)
2) (9, 11)
3) (6, 24)
Which pairs of numbers have the same harmonic mean?

Question 2

If x * y = (x + y) + xy then what is the value of (3 * 4 – 2 * 3) ?

Question 3

If then the relation among a, b, c would be

Question 4

If 2x = 4y=8z and x.y.z = 288, the value of

Question 5

If 27 x (81)2n+3 – 3m = 0, then what is m equal to?

Question 6

If (x – 3)2 + (y – 5)2 + (z – 4)2 = 0, then the value of is:

Question 7

The value of is

Question 8

Which one of the following is not correct in respect of the sets A and B?

Question 9

The value of k, for which the expression is divisible by is

Question 10

If x=(a+) + (a-) then what is the value of x3 + 3bx – 2a?
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