Cat 2009 Di Test 75

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DI Test 75 Directions for Questions from 1 to 3: Answer the questions on the basis of the information given below. A transportation company Dilli Ki Kanak, has a fleet of 30 trucks. It is in the business of transporting wheat to various cities from Delhi. The following table shows the freight charges(in Rs.) per truck, for transporting wheat from Delhi to various cities.

The maximum capacity of each truck owned by the company is 5000 tons. Also, there are some additional charges as described below: I. Any truck upon entering any of the three given states has to pay an additional state entry fees of Rs.5000, Rs.8000 and Rs.10000 for Punjab, Uttar Pradesh and Madhya Pradesh respectively from Delhi. II. State entry fees is reduced by 30% for any truck which does not come directly from Delhi, irrespective of which state it enters from. III. For a truck commuting between two cities of a state, the freight charges will be equal to the difference between the freight charges of the cities from Delhi. IV. If a truck is commuting between two cities of different states, the freight charges will be equal to double the difference between the freight charges of the cities from Delhi.

1. Recently, the company bought a smaller truck with the maximum capacity of 3000 tons and the total charges (freight + entry fees) for these trucks is 65% of the ones the company already has. If the wheat requirement in Kanpur is 9000 tons, then which of the following schemes should the company choose to minimize the cost of transporting wheat from Delhi to Kanpur?

j 2 big trucks k l m n j 1 big and 2 small trucks k l m n j 1 big and 2 small trucks k l m n j Either (1) or (2) k l m n j Either (1) or (3) k l m n i Skip this question j k l m n

2. If on a particular day the entry fee collected at the entry points of Uttar Pradesh is Rs.1,68,000, then which of the following cases is definitely false?

j Ten trucks came from Punjab, Ten from MP and Seven from Delhi. k l m n j There was no truck from Delhi. k l m n j The total number of trucks that entered UP cannot exceed 24 on that day. k l m n j Not more than 21 trucks came from Delhi. k l m n j Seven from Delhi, Seven from MP and thirteen trucks from Punjab k l m n i Skip this question j k l m n

3. The requirement at Jalandhar and Jabalpur are 2000 tons and 3000 tons respectively. What will be the minimum cost of transporting wheat to these two cities from Delhi?

j Rs.25680 k l m n j Rs.300800 k l m n j Rs.32200 k l m n

j Rs.34200 k l m n j Rs.30800 k l m n i Skip this question j k l m n Directions for Questions from 4 to 7: Answer the questions on the basis of the information given below. BCCI has to select a committee of five persons to serve as their representative on the board of ICC. The committee must have two coaches and three players, Their are three coaches namely A, B and C that are available for selection and there are five players namely, D, E, F, G and H that are available for selection. Additional information given: • B and H cannot be selected simultaneously. • F and G cannot be selected simultaneously. • E and H cannot be selected simultaneously. Additional information for second and third Questions : A is always selected in the committee.

4. If E and F always are selected together, then in how many ways a committee can be selected?

j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n j 6 k l m n i Skip this question j k l m n

5. In how many ways a committee can be selected?

j 3 k l m n j 4 k l m n j 7 k l m n j 5 k l m n j 6 k l m n i Skip this question j k l m n

6. Who will be definitely selected in the committee?

j C k l m n j B k l m n j E k l m n j D k l m n j None of these k l m n i Skip this question j k l m n

7. For every possible acceptable selection of the committee representing BCCI on the board of ICC, which of the following replacement will always result in another acceptable selection of the committee representing BCCI on the board of ICC?

j B for C k l m n j F for E k l m n j F for G k l m n j B for A k l m n j E for G k l m n i Skip this question j k l m n Directions for Questions from 8 to 10: Answer the questions on the basis of the information given below. The following table provides information about the marks alloted to various topics in a particular examination called KAT in the last six years from 1998 to 2003. In each of these years, the questions were asked from the given topics only. The KAT examination is conducted only once every year.

8. In how many of these years, the aggregate number of marks alloted to all the topics is less than the aggregate number of marks alloted to all the topics in the year 1999 but more than aggregate number of marks alloted to all the topics in the year 2001?

j 0 k l m n j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n i Skip this question j k l m n

9. Which topic has been alloted the second lowest aggregate number of marks over the given period?

j Arithmetic k l m n j Parajumbles k l m n j Analogies k l m n j Modern Maths k l m n j Number system k l m n i Skip this question j k l m n

10. In how many of these years, the number of marks alloted to Geometry is less than the number of marks alloted to Analogies as well as Arithmetic?

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

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