Cat 2009 Quanttest 109
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Quant Test 109
1. Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be
j 85.5 k l m n j 92.5 k l m n j 90.5 k l m n j 87.5 k l m n j 91.5 k l m n i Skip this question j k l m n
2.
Out of two -thirds of the total number of basket-ball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win three-fourths of the total number of matches, if it is true that no match can end in a tie?
j 4 k l m n j 6 k l m n j 5 k l m n j 3 k l m n j None of these k l m n i Skip this question j k l m n
3. A new flag is to be designed with six vertical stripes using some or all of the colours yellow, green, blue and red. Then, the number of ways this can be done such that no two adjacent stripes have the same colour is
j 12x81 k l m n j 16 x 192 k l m n j 20x 125 k l m n j 24x216 k l m n j None of these k l m n i Skip this question j k l m n
4. A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle?
j 4 sqrt (2) k l m n j 2 sqrt(2) k l m n j 3 srt (2) k l m n j sqrt (2) k l m n j None of these k l m n i Skip this question j k l m n
5. N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a twominute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?
j 5 k l m n j 6 k l m n j 7 k l m n j 8 k l m n
j 9 k l m n i Skip this question j k l m n
6. A milkman mixes 20 litres of water with 80 litres of milk. After selling onefourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?
j 2:3 k l m n j 1:2 k l m n j 1:3 k l m n j 3:4 k l m n j None of these k l m n i Skip this question j k l m n
7. Suppose n is an integer such that the sum of the digits of n is 2, and 10 10 < n < 1011 . The number of different values for n is
j 11 k l m n j 10 k l m n j 9 k l m n j 8 k l m n j 7 k l m n i Skip this question j k l m n
8. Karan and Arjun run a 100-metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100-metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
j Karan and Arjun reach the finishing line simultaneously. k l m n j Arjun beats Karan by 1 metre. k l m n j Arjun beats Karan by 11metres k l m n j Karan beats Arjun by 1 metre k l m n j None of these k l m n i Skip this question j k l m n
9. In the figure below, ABCDEF is a regular hexagon and angle AOF = 90°. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?
j 1/12 k l m n j 1/6 k l m n j 1/24 k l m n j 1/18 k l m n j None of these k l m n i Skip this question j k l m n
10. A leather factory produces two kinds of bags, standard and deluxe bag. The profit margin is Rs. 20 on a standard bag and Rs. 30 on a deluxe bag. Every bag must be processed on machine A and on machine B. The processing times per bag on the two machines are as follows: Time required (Hours/bag) Machine A Standard Bag
4
Machine B 6
Deluxe Bag
5
10
The total time available on machine A is 700 hours and on machine B is 1250 hours. Among the following production plans, which one meets the machine availability constraints and maximizes the profit?
j Standard 75 bags, Deluxe 80 bags k l m n j Standard 100 bags Deluxe 60 bags k l m n j Standard 50 bags, Deluxe 100 bags k l m n j Standard 60 bags, Deluxe 90 bags k l m n j None of these k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
Archives
Forums
B-Schools
Events
MBA
Vocabulary
Quant Test 109
1. Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be
j 85.5 k l m n j 92.5 k l m n j 90.5 k l m n j 87.5 k l m n j 91.5 k l m n i Skip this question j k l m n
2.
Out of two -thirds of the total number of basket-ball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win three-fourths of the total number of matches, if it is true that no match can end in a tie?
j 4 k l m n j 6 k l m n j 5 k l m n j 3 k l m n j None of these k l m n i Skip this question j k l m n
3. A new flag is to be designed with six vertical stripes using some or all of the colours yellow, green, blue and red. Then, the number of ways this can be done such that no two adjacent stripes have the same colour is
j 12x81 k l m n j 16 x 192 k l m n j 20x 125 k l m n j 24x216 k l m n j None of these k l m n i Skip this question j k l m n
4. A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle?
j 4 sqrt (2) k l m n j 2 sqrt(2) k l m n j 3 srt (2) k l m n j sqrt (2) k l m n j None of these k l m n i Skip this question j k l m n
5. N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a twominute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?
j 5 k l m n j 6 k l m n j 7 k l m n j 8 k l m n
j 9 k l m n i Skip this question j k l m n
6. A milkman mixes 20 litres of water with 80 litres of milk. After selling onefourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?
j 2:3 k l m n j 1:2 k l m n j 1:3 k l m n j 3:4 k l m n j None of these k l m n i Skip this question j k l m n
7. Suppose n is an integer such that the sum of the digits of n is 2, and 10 10 < n < 1011 . The number of different values for n is
j 11 k l m n j 10 k l m n j 9 k l m n j 8 k l m n j 7 k l m n i Skip this question j k l m n
8. Karan and Arjun run a 100-metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100-metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
j Karan and Arjun reach the finishing line simultaneously. k l m n j Arjun beats Karan by 1 metre. k l m n j Arjun beats Karan by 11metres k l m n j Karan beats Arjun by 1 metre k l m n j None of these k l m n i Skip this question j k l m n
9. In the figure below, ABCDEF is a regular hexagon and angle AOF = 90°. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?
j 1/12 k l m n j 1/6 k l m n j 1/24 k l m n j 1/18 k l m n j None of these k l m n i Skip this question j k l m n
10. A leather factory produces two kinds of bags, standard and deluxe bag. The profit margin is Rs. 20 on a standard bag and Rs. 30 on a deluxe bag. Every bag must be processed on machine A and on machine B. The processing times per bag on the two machines are as follows: Time required (Hours/bag) Machine A Standard Bag
4
Machine B 6
Deluxe Bag
5
10
The total time available on machine A is 700 hours and on machine B is 1250 hours. Among the following production plans, which one meets the machine availability constraints and maximizes the profit?
j Standard 75 bags, Deluxe 80 bags k l m n j Standard 100 bags Deluxe 60 bags k l m n j Standard 50 bags, Deluxe 100 bags k l m n j Standard 60 bags, Deluxe 90 bags k l m n j None of these k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
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