Cat Quant Test No 15
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Quant Test 15
1. A trapezium ABCD is inscribed in a circle with centre O. AB is parallel to CD and the tangent at the point C intersects the line AB produced at E. If BE = 2 units, CE = 4 units and ΔBCE is isosceles, then what is the area of the trapezium ABCD?
j 32 square units k l m n j 24 square units k l m n j 7 sqrt(15) square units k l m n j 8 sqrt(15) square units k l m n j 28 square units k l m n i Skip this question j k l m n
2. A, B, C and D are four friends each of whom weighs less than 100 kg. From amongst them they form a group and find the total weight of the group. If the sum of the total weights of all possible distinct groups, each having the same number of members as in the first is 882 kg, then the average weight of the four friends is
j 41.75 kg k l m n j 63.5 kg k l m n j 73.5 kg k l m n j 83.5 kg k l m n j Cannot be determined k l m n i Skip this question j k l m n
3. The cubic equation x3 – Ax2 + Bx – C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?
j If C is an even number then B must be an even number k l m n j If B is an even number then A must be an even number. k l m n j If A is an even number then C must be an even number. k l m n j If C is an odd number then A must be an even number. k l m n j None of the above. k l m n i Skip this question j k l m n
4. On Monday, a factory produced ten units of a product on a machine. To meet additional requirements, the factory had to produce 20 and 30 additional units on Tuesday and Wednesday respectively, in excess of the planned 10 units. The increase in the total cost of production on Tuesday and Wednesday was Rs. 2600 and Rs. 4800 respectively, in comparison with the cost on Monday. When the total costs of production were plotted against the number of units produced for the three days, a quadratic curve is traced. If 20 units are produced on Thursday, then what is the difference between the total costs of production on Thursday and on Monday ?
j Rs. 1800 k l m n j Rs. 1000 k l m n j Rs. 1400 k l m n j Rs. 2100 k l m n j Cannot be determined k l m n i Skip this question j k l m n
5. Find the number of positive integral solutions of the equation (xy)z = 64.
j 14 k l m n j 15 k l m n
j 16 k l m n
j 17 k l m n j 18 k l m n i Skip this question j k l m n
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j 18 k l m n i Skip this question j k l m n
6. 5 concentric squares each having different area are drawn on a sheet of paper. If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1.5 units, then find the difference between the areas of the largest and the smallest square in square units. (Take pie = 22/7)
j 240 k l m n j 264 k l m n j 224 k l m n j 216 k l m n j 256 k l m n i Skip this question j k l m n
7. A class of 24 boys was divided into two sub-sections containing 12 boys each. What is the probability that the two shortest boys of the class are in different sub-sections, if all boys have different heights?
j 7/24 k l m n j 6/23 k l m n j 12/23 k l m n j 14/23 k l m n j None of these k l m n i Skip this question j k l m n
8. Two wheels of diameters 7 cm and 14 cm start rolling simultaneously towards each other from two points which are 1990.5 cm apart. Both wheels make the same number of revolutions per second. If both the wheels meet (touch externally) after 10 seconds, then what is the speed of the smaller wheel?
j 132 cm/sec k l m n j 66 cm/sec k l m n j 44 cm/sec k l m n j 22 cm/sec k l m n j 67 cm/sec k l m n i Skip this question j k l m n
9. ‘S’ denotes the sum to infinity and ‘Sn ’ denotes the sum to ‘n’ terms of the series 1 + 4/5 + 16/25 + ...+ If S - Sn < 5/2. then the least value of ‘n’ is
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
10. Three positive real numbers ‘x’, ‘y’ and ‘z’ exist such that they are in an arithmetic progression and the product of x, y and z is 25. If the common difference of the arithmetic progression is 2 sqrt(5), then find the value of (x + y + z).
j 10 + 2sqrt(5) k l m n j 15 k l m n j 8 + 4sqrt(5) k l m n j 20 k l m n j 10 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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Search MBA
Quant
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Quant Test 15
1. A trapezium ABCD is inscribed in a circle with centre O. AB is parallel to CD and the tangent at the point C intersects the line AB produced at E. If BE = 2 units, CE = 4 units and ΔBCE is isosceles, then what is the area of the trapezium ABCD?
j 32 square units k l m n j 24 square units k l m n j 7 sqrt(15) square units k l m n j 8 sqrt(15) square units k l m n j 28 square units k l m n i Skip this question j k l m n
2. A, B, C and D are four friends each of whom weighs less than 100 kg. From amongst them they form a group and find the total weight of the group. If the sum of the total weights of all possible distinct groups, each having the same number of members as in the first is 882 kg, then the average weight of the four friends is
j 41.75 kg k l m n j 63.5 kg k l m n j 73.5 kg k l m n j 83.5 kg k l m n j Cannot be determined k l m n i Skip this question j k l m n
3. The cubic equation x3 – Ax2 + Bx – C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true?
j If C is an even number then B must be an even number k l m n j If B is an even number then A must be an even number. k l m n j If A is an even number then C must be an even number. k l m n j If C is an odd number then A must be an even number. k l m n j None of the above. k l m n i Skip this question j k l m n
4. On Monday, a factory produced ten units of a product on a machine. To meet additional requirements, the factory had to produce 20 and 30 additional units on Tuesday and Wednesday respectively, in excess of the planned 10 units. The increase in the total cost of production on Tuesday and Wednesday was Rs. 2600 and Rs. 4800 respectively, in comparison with the cost on Monday. When the total costs of production were plotted against the number of units produced for the three days, a quadratic curve is traced. If 20 units are produced on Thursday, then what is the difference between the total costs of production on Thursday and on Monday ?
j Rs. 1800 k l m n j Rs. 1000 k l m n j Rs. 1400 k l m n j Rs. 2100 k l m n j Cannot be determined k l m n i Skip this question j k l m n
5. Find the number of positive integral solutions of the equation (xy)z = 64.
j 14 k l m n j 15 k l m n
j 16 k l m n
j 17 k l m n j 18 k l m n i Skip this question j k l m n
www.complore.com/test4PDF.php?id=43
Page 1 / 2
j 18 k l m n i Skip this question j k l m n
6. 5 concentric squares each having different area are drawn on a sheet of paper. If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1.5 units, then find the difference between the areas of the largest and the smallest square in square units. (Take pie = 22/7)
j 240 k l m n j 264 k l m n j 224 k l m n j 216 k l m n j 256 k l m n i Skip this question j k l m n
7. A class of 24 boys was divided into two sub-sections containing 12 boys each. What is the probability that the two shortest boys of the class are in different sub-sections, if all boys have different heights?
j 7/24 k l m n j 6/23 k l m n j 12/23 k l m n j 14/23 k l m n j None of these k l m n i Skip this question j k l m n
8. Two wheels of diameters 7 cm and 14 cm start rolling simultaneously towards each other from two points which are 1990.5 cm apart. Both wheels make the same number of revolutions per second. If both the wheels meet (touch externally) after 10 seconds, then what is the speed of the smaller wheel?
j 132 cm/sec k l m n j 66 cm/sec k l m n j 44 cm/sec k l m n j 22 cm/sec k l m n j 67 cm/sec k l m n i Skip this question j k l m n
9. ‘S’ denotes the sum to infinity and ‘Sn ’ denotes the sum to ‘n’ terms of the series 1 + 4/5 + 16/25 + ...+ If S - Sn < 5/2. then the least value of ‘n’ is
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
10. Three positive real numbers ‘x’, ‘y’ and ‘z’ exist such that they are in an arithmetic progression and the product of x, y and z is 25. If the common difference of the arithmetic progression is 2 sqrt(5), then find the value of (x + y + z).
j 10 + 2sqrt(5) k l m n j 15 k l m n j 8 + 4sqrt(5) k l m n j 20 k l m n j 10 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=43
Page 2 / 2
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