Friday, October 2, 2009

CAT 2009: The Final Preparation

10 comments:

Anonymous said...

A man observes the top of a tower at some angle 'A'. After walking a distance 100m the angle becomes '2A'.After a further distance of 75m the angle becomes '3A' then find sinA

Please discuss this question in the next class
Thanks

Anonymous said...

ABC is an equilateral triangle inscribed in circle of radius 'R'. Show that the side of the largest square inscribed in the triangle is 3R(2-sqrt3)

Anonymous said...

If x is real the the value of
[(x^2-x+1)/(x^2+x+1)] lies between
(a)1/2 and 2
(b) 1/3 and 3
(c) 1/4 and 4
(d) None of these

Anonymous said...

The Zeroes of f[x^(1/9)]=x^2-3x-4 are
(a) 4 and -1
(b) 4 and 1
(c)4^(1/9) and 1
(d)4^(1/9) and -1
Please solve the above question and discuss in the next wiziq.com session

Anonymous said...

For positive real values of x and y the minimum value of
[xy+x+y+1/x+1/y+1/(XY)] is
(a)3
(b)6
(c)8
(d)12
(e) None of these

Anonymous said...

In a music school 28 learn trumpet,30learn violin and 32 learn guitar. 6learn trumpet and violin, 8 learn violin and guitar,10 learn guitar and trumpet. The number of learners who learn only one instrument is 54. Also 20 students learn only violin. Every student learns at least one instrumentThen the number of students inthis school is:-
(a)80 (b)75(c)70 (d) 65

Please discuss this question in the next class.
Thanks

Prof B L Raina said...
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Anonymous said...

Here's a question:
If x+y+z=0 and x^2+y^2+z^2=1
Then x^4+y^4+z^4 is equal to
(a) 1/2
(b) 1/4
(c) 1
(d) 2
(e) none of these
Please find time in your next CAT class and show me the solution of the above question
Thanks

Anonymous said...

A and B are two points on the same level as Q the foot of the vertical tower PQ. The angles of the elevation of P from A and B are alpha and beta.Also Base angles triangle QBA are given and AB=c. Find the height of PQ

Anonymous said...

A ladder makes an angle alpha with the ground. The lower end is taken a distance 'a' away from the vertical wall and it causes a drop of 'b' to the other end of the ladder.The ladder now makes an angle beta with the ground.Show that
a/b =tan [(alpha+beta)/2]
Please sole these question in your next class. Thanks