Solved CAT Question Paper 2005

As CAT 2011 is just days away, here is the Solved CAT Question Paper 2005. Certain changes have been made in CAT 2011, including the changes in number of sections. Now there will be just 2 sections of 70 minutes duration each. Download CAT 2005 for practicing and analyzing the kind of questions asked in this prestigious exam

DIRECTIONs For questions 1 to 6 : Answer the questions independently of each other.

1. A chemical plant has four tanks (A, B, C and D) each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows:

From A to B @20 litres/minute        From C toA@ 90 litres/minute

From A to D @ 10 litres/minute       From C to D @ 50 litres/minute

From B to C @ 100 litres/minute      From D to B @ 110 litres/minute

Which tank gets emptied first, and how long does it take (in minutes) ,) get empty after pumping starts?

(a) A, 16.66    

(b) C,20    

(c) D,20    

(d) D,25

Ans: (C)

4. What is the distance in em between two parallel chords oflengths 32 cm and 24 cm in a circle ofradius 20 cm?

(a) 1 or 7    

(b) 2 or l4    

(c) 3 or 21    

(d) 4 or 28

Ans: (D)

5. For which value of k does the following pair of equations yield a unique solution for x such that the solution is positive?
                  x²-y²=0
               (x-k)²+y²=1              

(a) 2

(b) 0    

(c) √2 

(d) -√2

Ans: (c)

6. If x = (16³ + 17³ + 18³ + 19³), then x divided by 70 leaves a remainder of

(a) 0    

(b) 1    

(c) 69

(d) 35

Ans: (A)

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