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ANSWERS - HURDLE 36 : QUADRATIC EQUATION + PROFIT AND LOSS

Below are the answers and and the solution of Hurdle 36. Those who got 25 questions correct in less than 15 minutes are
among the top 1 percentile.

Ans 1. 3

Ans 2. 4

Ans 3. 4

Ans 4. 15

Ans 5. 15

Ans 6. 13

Ans 7. 16

Ans 8. 16

Ans 9. 16

Ans 10. 6

Ans 11. 9

Ans 12. 9

Ans 13. 8

Ans 14. 8

Ans 15. 8

Ans 16. 8

Ans 17. 8

Ans 18. 16

Ans19. 22

Ans20. 22

Ans21. 22

Ans22. 10

Ans23. 40

Ans24. J , Ans25. D , Ans26. E , Ans27. A , Ans28. C , Ans29. B , Ans30. H

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SOLUTIONS OF SOME QUESTION
Solution1. As a^2.b +b^2.c +C^2.a >= 3abc
so we have 3abc>=30
so abc>=10

Solution2. As a^2.b +b^2.c +C^2.a >= 3abc
we have 3abc>=120 or abc>=40
as a.b>=10 , c>=4

Solution3. As a^2.b +b^2.c +C^2.a >= 3abc
we have 3abc>=150 or abc>=50
as a.b >=5, c>=10

Solution4. Let the cost of Rice be X per kg.
S.P at 32 % = 1.32 X per Kg
S.P at 15% = 1.15 X per Kg
Average S.P = 1.2 X per Kg.
(\Qty of Cheap/ Qty of expensive) =
(Price of expensive-Average price)/ ( Avg. Price-price of cheaper)
= (1.32X-1.2X)/ (1.2X-1.15X)= .12/.05
=12/5
so the two quantities are in ratio of 12:5
So the Qty sold at 32% profit = 51*12/17= 36
 Alternatively  can use mixture and allegation method.


Solution6. Let the cost of Rice be X per kg.
S.P at 4 % = 1.04 X per Kg
S.P at 7% = 1.07 X per Kg
Average S.P = 1.06 X per Kg.
(Qty of Cheap/ Qty of expensive) =
(Price of expensive-Average price)/ ( Avg. Price-price of cheaper)
= (1.07X-1.06X)/ (1.04X-1.06X)= .01/.02
=1/2
so the two quantities are in ratio of 1:2
So the Qty sold at 4% profit = 39*1/3= 13

The rest of the questions may be solved using the same method.

Hurdle 36 : Quadratic Equation
If a^2.b +b^2.c +C^2.a >= 30. What can be said about a.b.c ?
Hurdle36.htm

  Hurdle 37 : Geometry
In an Triangle ABC, side AB= 9cms, AC=13cms and BC = 10cms. Find the length of the median AD .
Hurdle37.htm
  Links of Hurdle 1 to 30
Our Hurdles are prepared on the basis of past entrance tests  papers.

Hurdle.htm
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