Cat 2009 Quant Test 27
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Quant Test 27
1. If a man cycles at 10 km/hr, then he arrives at a certain place at I p.m. If he cycles at 15 km/ hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?
j 11 km/hr k l m n j 12 km/hr k l m n j 13 Km/hr k l m n j 14 Km/hr k l m n j None of these k l m n i Skip this question j k l m n
2. 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 4Sqrt(2) k l m n j 2Sqrt(2) k l m n j Sqrt(2) k l m n j Sqrt(1/2) 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 3 to 4: Answer the questions on the basis of the information given below. A company intending to advertise its products through a particular TV channel, finds that the advertisement rates applicable for a particular day are as follows. Times Slots Rates 0600 to 1200 hrs $300 per min 1200 to 1800 hrs $125 per min The channel has 70,000 viewers during the time slot 0600 to 1200 hours.
3. If the channel charges the same amount per viewer per minute for an advertisement in both the mentioned time slots, then how many viewers watch that channel in the time slot 1200 to 1800 hours?
j 30,266 k l m n j 29,166 k l m n j 28,000 k l m n j 31,000 k l m n j 25,000 k l m n i Skip this question j k l m n
4. The company has $10,000 to spend on advertising on the given day. If the company does not want less than 25% of its total number of advertisements to be aired in either of the mentioned time slots, then how many one minute advertisements should the company book so that the channel can air maximum possible number of advertisements of that company in the time slot 0600 to 1200 hours? (Assume that the entire budget of $10,000 need not be completely spent.)
j 32 k l m n j 34 k l m n j 46 k l m n j 29 k l m n j 39 k l m n i Skip this question j k l m n
5. In the X-Y plane, P and Q are points on straight lines 4y = x and 3y = x respectively. If R(10, 3) is the midpoint of line segment PQ, then find the length of line segment PQ.
www.complore.com/test4PDF.php?id=79 j 2sqrt( 5)units k l m n
Page 1 / 3
5. In the X-Y plane, P and Q are points on straight lines 4y = x and 3y = x respectively. If R(10, 3) is the midpoint of line segment PQ, then find the length of line segment PQ.
j 2sqrt( 5)units k l m n j 3 sqrt(5) units k l m n
j 4 sqrt(2) units k l m n j 5 sqrt(2) units k l m n j None of these k l m n i Skip this question j k l m n
6. In the figure shown below, O is the center of a circle with radius 10 cm. A line AB passes through the point M which lies on the circle. With M as the centre and AM as the radius, a semicircle ATB is drawn. If AT is a tangent to the circle at point T, then find the length of BS.
j 5 sqrt(3)cm k l m n j 8 sqrt(3)cm k l m n j 12 cm k l m n j 10 cm k l m n j 8 cm k l m n i Skip this question j k l m n
7. If the sum of lengths of three sides of a rectangle is 100 units, then find the maximum possible area of the rectangle ?
j 1110.9 sq. units k l m n j 1250 sq. unit k l m n j 990 sq. units k l m n j 1008 sq. units k l m n j 1225 sq. units k l m n i Skip this question j k l m n
8. Two cyclists are travelling at a speed of 3 km/hr and 10 km/hr around a circular track. What should be the ratio of number of distinct points that they would meet on that track if they travel in the same direction first and in the opposite direction next?
j 7 : 13 k l m n j 3 : 10 k l m n j 3:7 k l m n j 30 : 13 k l m n j Cannot be determined k l m n i Skip this question j k l m n
9. What is the remainder when 77 + 77 7 + 7777 + 77777 +…+ 7 77777777 is divided by 8?
j 5 k l m n j 1 k l m n j 3 k l m n j 7 k l m n j 0 k l m n i Skip this question j k l m n
10. Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
j 15 k l m n j 18 k l m n j 45 k l m n
www.complore.com/test4PDF.php?id=79 j 90 k l m n j 36 k l m n
Page 2 / 3
j 18 k l m n j 45 k l m n j 90 k l m n j 36 k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
www.complore.com/test4PDF.php?id=79
Page 3 / 3
Search MBA
Quant
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English
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Quant Test 27
1. If a man cycles at 10 km/hr, then he arrives at a certain place at I p.m. If he cycles at 15 km/ hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?
j 11 km/hr k l m n j 12 km/hr k l m n j 13 Km/hr k l m n j 14 Km/hr k l m n j None of these k l m n i Skip this question j k l m n
2. 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 4Sqrt(2) k l m n j 2Sqrt(2) k l m n j Sqrt(2) k l m n j Sqrt(1/2) 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 3 to 4: Answer the questions on the basis of the information given below. A company intending to advertise its products through a particular TV channel, finds that the advertisement rates applicable for a particular day are as follows. Times Slots Rates 0600 to 1200 hrs $300 per min 1200 to 1800 hrs $125 per min The channel has 70,000 viewers during the time slot 0600 to 1200 hours.
3. If the channel charges the same amount per viewer per minute for an advertisement in both the mentioned time slots, then how many viewers watch that channel in the time slot 1200 to 1800 hours?
j 30,266 k l m n j 29,166 k l m n j 28,000 k l m n j 31,000 k l m n j 25,000 k l m n i Skip this question j k l m n
4. The company has $10,000 to spend on advertising on the given day. If the company does not want less than 25% of its total number of advertisements to be aired in either of the mentioned time slots, then how many one minute advertisements should the company book so that the channel can air maximum possible number of advertisements of that company in the time slot 0600 to 1200 hours? (Assume that the entire budget of $10,000 need not be completely spent.)
j 32 k l m n j 34 k l m n j 46 k l m n j 29 k l m n j 39 k l m n i Skip this question j k l m n
5. In the X-Y plane, P and Q are points on straight lines 4y = x and 3y = x respectively. If R(10, 3) is the midpoint of line segment PQ, then find the length of line segment PQ.
www.complore.com/test4PDF.php?id=79 j 2sqrt( 5)units k l m n
Page 1 / 3
5. In the X-Y plane, P and Q are points on straight lines 4y = x and 3y = x respectively. If R(10, 3) is the midpoint of line segment PQ, then find the length of line segment PQ.
j 2sqrt( 5)units k l m n j 3 sqrt(5) units k l m n
j 4 sqrt(2) units k l m n j 5 sqrt(2) units k l m n j None of these k l m n i Skip this question j k l m n
6. In the figure shown below, O is the center of a circle with radius 10 cm. A line AB passes through the point M which lies on the circle. With M as the centre and AM as the radius, a semicircle ATB is drawn. If AT is a tangent to the circle at point T, then find the length of BS.
j 5 sqrt(3)cm k l m n j 8 sqrt(3)cm k l m n j 12 cm k l m n j 10 cm k l m n j 8 cm k l m n i Skip this question j k l m n
7. If the sum of lengths of three sides of a rectangle is 100 units, then find the maximum possible area of the rectangle ?
j 1110.9 sq. units k l m n j 1250 sq. unit k l m n j 990 sq. units k l m n j 1008 sq. units k l m n j 1225 sq. units k l m n i Skip this question j k l m n
8. Two cyclists are travelling at a speed of 3 km/hr and 10 km/hr around a circular track. What should be the ratio of number of distinct points that they would meet on that track if they travel in the same direction first and in the opposite direction next?
j 7 : 13 k l m n j 3 : 10 k l m n j 3:7 k l m n j 30 : 13 k l m n j Cannot be determined k l m n i Skip this question j k l m n
9. What is the remainder when 77 + 77 7 + 7777 + 77777 +…+ 7 77777777 is divided by 8?
j 5 k l m n j 1 k l m n j 3 k l m n j 7 k l m n j 0 k l m n i Skip this question j k l m n
10. Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
j 15 k l m n j 18 k l m n j 45 k l m n
www.complore.com/test4PDF.php?id=79 j 90 k l m n j 36 k l m n
Page 2 / 3
j 18 k l m n j 45 k l m n j 90 k l m n j 36 k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
www.complore.com/test4PDF.php?id=79
Page 3 / 3
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