CAT Exam

ABC is a triangle with sides AB = 10, BC = 8, and CA = 7 units. D and E are the feet of the altitudes form the vertices A and B to the respective opposite sides. What is the ratio of the length of CD to that of CE?

Option
(1) 7 : 8
(2) 12 : 7
(3) 3 : 2
(4) 2 : 3

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CAT Other Question

From 7 men and 5 ladies a committee of 4 is to be formed. If Mrs. X is not willing to join the committee in which Mr.Y is a member whereas Mr. Y is willing to join the committee only if Mrs. Z is included, how many such committees in all are possible?

Option
(1) 366
(2) 375
(3) 450
(4) 495 The Congress government promised in 1991 that they would bring down prices in 100 days. They failed to do so and the prices went up by 10% each year for the next five years i.e., from 1992 to 1996. Then BJP got elected and successfully brought down the prices by 10% each year from 1997 onward. Find approximately by what percentage will prices in 1999 be more than those in 1992?

Option
(1) 18%
(2) 5%
(3) 8%
(4) 7%