CAT Exam

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

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CAT Other Question

While the Delhi-Lahore bus service has _____ reopened the door to India-Pakistan interaction, Noor has in more senses than one opened a/an/the _____ of sub-continental friendship.

Option
(1) really . . . deluge
(2) literally . . . profusion
(3) symbolically . . . floodgates
(4) suddenly . . . outpouring 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