CAT 2012 based questions

1. There are 2 concentric circles. A man runs at speed 60 km/hr from point A on outer circle to B on same circle such that his run is tangent to inner circle for 50 minutes. Find radius of outer circle.

a) 25√2

b) 40

c) 60

d) 30√2

2. Which of the following is the roots of the equation 4x^3− 3x^2 + 4x – 5 =0

(1) -1/√3

(2) -1

(3) 0

(4) 1

3. When the curves y = log10x and y = x–1 are drawn in the x-y plane, how many times do they intersect for values x ≥ 1 ?

2. Once

3. Twice

4. More than twice

5. If f(x)=-5x ; g(x)=3x-5. Which of the following is true

6. A person starts from hill top A, goes downhill on car, then along a plain walking and finally climbs to hill top B. He takes a total of 4 hours for the jouney travelling downhill @72kmph, on plains @63kmph and uphill @56kmph. However while returning back, from B to A, he takes 4 hours 40 mins with speeds being same. Find distance AB.

a) 273

b) 427

c) 723

d) 373

7. If (BE)^2 = MPB,

where B, E, M and P are distinct integers. Then M =

a. 2

b. 3

c. 9

d. None

CAT 2012 based question

8. What is the equation of the line that is parallel to the line 3x + 7y = 10 and passes through the point (4, 8 )

7x – 3y = 46

3x + 7y = 44

9x + 21y + 184 = 0

3x + 7y = 68

CAT 2012 questions

9. Equation of a circle is

x^2 + y^2 – 2x – 4y = 4

Where does the point (2,3) lies

a. Within the circle

b. Outside the circle

c. On the curve

d. Not clear

10. The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x ≤ y is:

(1) 7 (2) 13

(3) 14 (4) 18

Solutions for these CAT 2012 based questions…

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Respecting the NDA by CAT.. None of the questions are actual in this group but based on CAT 2012 questions