51. From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is
Answer: 500/_/3
Explanation:Here is no explanation for this answer
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Green Valley Motor
52. Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
Answer: 3
Explanation:Here is no explanation for this answer
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Green Valley Motor
53. Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. I f this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is
Answer: 100
Explanation:Here is no explanation for this answer
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Green Valley Motor
54. If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?
Answer: 207
Explanation:Here is no explanation for this answer
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Green Valley Motor
55. In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to
Answer: 10
Explanation:Here is no explanation for this answer
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Green Valley Motor
56. Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and makes a profit of Rs 150. How many dozens of candies did he buy altogether?
Answer: 50
Explanation:Mayank buys some candies for Rs 15 a dozen and an equal number of different c
Let the number of
Let the number of dozens of candies he bought of each variety be x
Hence total cost = 12x + 15x = 27x
Total selling price = 16.50*2x = 33x
Profit = 33x - 27x = 6x
Given 6x = 150 => x = 25
Hence he bought 50 dozens of candies in total
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Green Valley Motor
57. Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Answer: 13000
Explanation:Let the total number of shirts be x.
Hence number of non defective shirts = x - 15% of x = 0.85x
Number
of shirts left for export = No of non defective shirts - number of
shirts sold in domestic market
= No of non defective shirts - 20% of No of non defective shirts
= 80% of No of non defective shirts
Hence 8840 = 0.8 * (0.85x) .
Solving for x we get, x = 13000
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Green Valley Motor
58. Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is
Answer: 65 miles
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
59. A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B7
Answer: 378
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
60. Consider three mixtures - the first having water and liquid A in the ratio 1:2, the second having water and liquid B in the ratio 1:3, and the third having water and liquid C in the ratio 1:4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4: 3: 2. Then the resulting mixture has
Answer: More water than liquid B
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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