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Maths Puzzle
Find the number of common roots of equations
x4 + 22x3 + 179x2 + 462x + 912 = 0
x4 + 22x3 + 163x2 + 638x + 432 = 0
A. 0
B. 1
C. 2
D. 3
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self Other Question
If product P of 3 positive integers is 6 times their sum and one of the integers is the sum of other two, then the sum of all possible values of P is
A. 240
B. 360
C. 336
D. 432
Albert and Fernandez have a two lap swimming race. Both start from opposite ends of the pool. On the first lap, the boys pass each other at 18 m from the deep end of the pool. During the second lap they pass at 10 m from the shallow end of the pool. Both go at constant speed but one of them is faster. Each boy rests for 4 seconds at the end of the first lap. What is the length of the pool?
Ops: A. 50 m
B. 44 m
C. 48 m
D. 64 m