# Solved CAT Questions (Arithmetic) - Set 12

• Q1. (CAT 2001)
Fresh grapes contain 90% water by weight while dry grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
(1) 2 kg
(2) 2.4 kg
(3) 2.5 kg
(4) None of these

Fruit content in Fresh grapes = Fruit content in dried grapes
20 * 10/100 = x * 80/100
x = 20/8 = 2.5

Q2. (CAT 1999)
Rajiv reaches city B from city A in 4 hours, driving at speed of 35 kmph for the first two hour and at 45 kmph for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 kmph, covering an equal distance in each speed segment. The two cars are similar with petrol consumption characteristics (km per litre) shown in the figure below.

The quantity of petrol consumed by Aditi for the journey is
a. 8.3 L
b. 8.6 L
c. 8.9 L
d. 9.2 L

Q3. (CAT 2003 Leaked)
In a 4000 metre race around a circular stadium having a circumference of 1000 metres, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?
(1) 20 min
(2) 15 min
(3) 10 min
(4) 5 min

Q4. (CAT 2003 Leaked)
At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
(1) p = q
(2) p < q
(3) p > q
(4) p = q/2

Q5.

• ans to these??

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