Solved CAT Question Paper 2005

As CAT 2021 is just days away, here is the Solved CAT Question Paper 2005. The most important aspect of CAT exam preparation is solving the past year CAT previous year question papers. Solving previous year CAT question papers and attempting the CAT mock tests before the main exam helps in getting familiar with the CAT. Download CAT 2005 for practising 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 of lengths 32 cm and 24 cm in a circle of radius 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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