MBA Exam

if 2 equations x2+px+q=0 & x2+lx+m=0 have one common root,then how many of following 3 statements can be true?1) Common root is (pm-ql)/(q-m)2)Common root is ( q-m )/(l-p)3) Square of common root is (pm-ql)/(l-p)

1) 0
2) 1
3) 2
4) 3

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MBA Other Question

If sum of the numbers (a25)^2 and a^3 is divisible by 9, then which of the following may be a value for a??kindly post solution as well

1) 1
2) 7
3) 9
4) 8
5) No value
Some mice live in house A. A cat attacks and kills 24 mice. The remaining mice run to the next house B and gets doubled there. The cat follows the mice and kills 24 mice again. The remaining mice run to the next house C and gets doubled there. The cat pursues the mice and kills another 24 of them in the house C. Finally when the remaining mice go to the house D and double their number, the cat kills all the 24 mice present there. How many mice were living in house A to start with?

1) 32 mice
2) 49 mice
3) 45 mice
4) 37 mice
5) 47 mice