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Mathematics Test 184

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Mathematics Test 184
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    If (y²+5y+3) (x²+x+1) <2x for all xR, then y lies in the interval

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    A boat is to be manned by eight men of whom 2 can only row on bow side and 3 can only row on stroke side, the number of ways in which the crew can be arranged is

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    An A.P., a G.P., and a H.P. have a and b for their first two terms. Their (n + 2)th terms will be in G.P. if 

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    Two lines are given by (x – 2y)² + k (x – 2y) = 0. The value of k, so that the distance between them is 3, is

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    ~(p q) [(~p) (~ q)] is

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