Cat 2009 Quant Test 23

  • April 2020
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Quant Test 23 Directions for Questions from 1 to 2: Answer the questions on the basis of the information given below. Three pe sons Anil, Biswas and Chandra are standing at three different points on a circular track. At time t = 0 they start running simultaneously in the clock wise direction on the circular track with uniform speeds. At time t = T it was observed that Anil, Biswas and Chandra are at the points where Biswas, Chandra and Anil were at time t = 0. The time taken by Anil, Biswas and Chandra to complete one lap of the track is 4, 6 and 12 minutes respectively.

1. What is the minimum possible value of T(in seconds)?  

j 60 k l m n j 75 k l m n j 90 k l m n j 120 k l m n j 150 k l m n i Skip this question j k l m n

2. If the length of the circular track is 240 metres, then what is the shortest distance(along the circular track) between Anil and Chandra at time t = 900 seconds?  

j 80 k l m n j 60 k l m n j 120 k l m n j 90 k l m n j 100 k l m n i Skip this question j k l m n Directions for Questions from 3 to 4: Answer the questions on the basis of the information given below. The total number of students in three different sections namely I, II and III is ‘AA’, ‘BB’ and ‘C C’ respectively. The total number of students in the mentioned three sections is ‘DD0’. Assume that A, B and C are distinct natural numbers and D is a non zero digit. All the mentioned numbers are in the same base and the base is not greater than 9.

3. How many distinct values of (A, B and C) are possible?  

j 10 k l m n j 12 k l m n j 14 k l m n j 8 k l m n j 6 k l m n i Skip this question j k l m n

4. What is the maximum value of (A + B + C) ?  

j 12 k l m n j 14 k l m n j 16 k l m n j 18 k l m n j None of these k l m n i Skip this question j k l m n Directions for Questions from 5 to 7: Answer the questions on the basis of the information given below. In the following figure, arc AB is a quadrant of the circle with center at point O and radius 4 units. Further, OC = OD, OC:OA = 3:4.

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5. What is the ratio of the length of AG to GD?  

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

6. What is the area (in square units) of the ΔAGC?  

j 2/3 k l m n j 7/ 8 k l m n j 3/2 k l m n j 6/7 k l m n j 1/2 k l m n i Skip this question j k l m n

7. A circle C is drawn such that it touches the quadrant at the point E and the mid point of AB at F. What is the radius(in units) of the circle C?  

j 2− sqrt(2) k l m n j sqrt(2)−1 k l m n j 4−2 sqrt(3) k l m n j sqrt(3)−1 k l m n j None of these k l m n i Skip this question j k l m n Directions for Questions from 8 to 9: Answer the questions on the basis of the information given below. A natural number ‘N’ less than 1000 exists such that when the units digit of ‘N’ is erased, the resulting number is the factor of ‘N’

8. What is the sum of all the possible value of ‘N’ such that ‘N’ is a two-digit number more than 35?  

j 942 k l m n j 968 k l m n j 934 k l m n j 994 k l m n j 912 k l m n i Skip this question j k l m n

9. How many values of ‘N’ are possible such that ‘N’ is a three-digit number?  

j 100 k l m n j 101 k l m n j 90 k l m n j 91 k l m n j None of these k l m n i Skip this question j k l m n

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The cost of 6 desks is equal to the aggregate cost of 6 chairs and 1 table. The aggregate cost of 6 desks and 3 tables is equal to the cost of 12

j None of these k l m n i Skip this question j k l m n

10. The cost of 6 desks is equal to the aggregate cost of 6 chairs and 1 table. The aggregate cost of 6 desks and 3 tables is equal to the cost of 12 chairs. Which of the following statements is false? Assume that the cost of each chair is same and this holds true for the desks as well as the tables.  

j The cost of 5 tables is equal to the aggregate cost of 5 chairs and 2 desks. k l m n j The cost of 5 chairs is equal to the cost of 4 desks. k l m n j The cost of 2 desks is equal to the aggregate cost of 1 chair and 1 table. k l m n j The cost of 3 desks is equal to the aggregate cost of 2 chairs and 1 table. k l m n j The cost of 10 chairs is equal to the aggregate cost of 5 tables and 2 desks. k l m n i Skip this question j k l m n

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