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CDS || Mathematics || Algebra || 08-04-2019

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Question 1

If a and b are two odd positive integers, by which of the following integers is (a4 – b4) always divisible

Question 2

If then y is equal to

Question 3

If and ; then (x + y) is equal to

Question 4

If three numbers are added in pairs, the sum is equal to 10, 19 and 21. Find the difference between greatest and smallest.

Question 5

If a = x + y , b = x - y , c = x + 2y , then a2 + b2 + c2 - ab - bc - ca is:

Question 6

If and then the value of xy is

Question 7

If x2 + y2 = 29 and xy = 10, where x>0, y>0, x>y then the value of is

Question 8

If then the value of m3-3m2+3m+3n+3n2+n3 is

Question 9

If , then is

Question 10

The value of
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