51. A Student brought 4 1/3m of yellow ribbon, 61/6 m of red ribbons and 3 2/9m of blue ribbon to decorate his room. How many meters of ribbons didd he buy in all ?
Answer: 13 13/18m
Explanation:Length of yellow ribbon = 4 1/3 m = 13/3 m
Length of red ribbon = 6 1/6 m = 37/6 m
Length of blue ribbon = 3 2/9 m = 29/9 m
So, the total length of all 3 ribbons = (13/3 + 37/6 + 29/9) = (78+111+58)/18 = (247/18) = 13 13/18 m
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52. In a group of 15 workers, 5 are good at both Plumping and woodwork, 3 workers are good only at woodwork, and 3 are not good at either of them. How many of them are good at Plumping?
Answer: 4
Explanation:Here is no explanation for this answer
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53. vijay weighed 65 1/2kg, He gained 1 2/5kg during the first week, 1 1/1 kg during the second week, but lost 5/16kg during the third week. What is his weight after the third week?
Answer: 67 47/80 kg
Explanation:After 3rd week his weight = (65 1/2 + 1 2/5 + 1 1/1 - 5/16)
By solving the above Answer will be 67 47/80 kg.
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54. ( 517 * 517 * 517 + 483 * 483 * 483)/(517 * 517 - 517 * 483 + 483 * 483).
Find the result of this expression.
Answer: 1000
Explanation:(a^3+b^3) = (a+b)(a^2-ab+b^2)
so [(a+b)(a2-ab+b^2)] / (a^2-ab+b^2) = (a+b) => 517 + 483 = 1000.
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55. If 3 numbers are in the ratio of 3:2:5 such that sum of their squares is equal to 186 what is the middle number?
Answer: 14
Explanation:Let the numbers are 3x, 2x, 5x
Now,
(3x)^2 + (2x)^2 + (5x)^2 = 1862
=> x^2 = 49
=> x = 7
middle number is 2x = 2 * 7 = 14
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56. The cost price of a television is rs 2400 which is 20% below the market price if it is sold at a discount of 16% on the market price then find its market price, selling price and profit?
Answer: Rs. 3000 Rs. 2520 5%
Explanation:CP = 2400
Let MP = x
So, MP = x * 80/100 = 2400
MP = x = 3000
SP = 3000 * 16/100 = 480+3000 = 2520
Profit = 2520 - 2400 = 120
Profit% = 120*100/2400 = 5
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57. A rectangular park, 70m * 30m has two roads which are 5m wide one parallel to its length and the other to its breadth. How much will it costs to gravel the roads at rs 4 per sq.m?
Answer: Rs. 1,900
Explanation:Area of road parallel to the length= 70*5=350 sq.m.
Area of road parallel to the breadth=30*5=150 sq.m.
Total area of road=350+150=500 sq.m.
As these two road contains common area of 5*5=25 sq.m,
so subtract once this common area, so actual area of road = 500-25 = 475
Cost to gravel @ 4 Rs./sq.m.= 475*4 = 1900 Rs.
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58. The profit on a certain article is 25% had it been brought at 10% discount and sold for 20% more than the earlier cost,the profit would have been rs 600. What is the cp of the article
Answer: 2000
Explanation:Let the CP be x.
Gain % = 25%
Then, SP = x*125/100
=> SP = 5x/4
If it had been bought at 10% discount, then
CP = x*90/100
CP = 9x/10
Sold at 20% more that the earliest cost ( at CP = x)
Then SP = x*120/100 = 600+(9x/10).
=> 6x/5 = (6000+9x/10).
=> 12x = 6000+9x.
=> 3x = 6000.
=> x = 2000.
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59. Bob receives scores of 65, 70, 75, 78 and 11 What is the median test score?
Answer: 75
Explanation:In ascending order: 65,70,75,78,112
middle number is 3rd i.e 75
so, median = 75
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60. The ratio between the boys and girls in a class in 6:5 if 8 more boys join the class and two girls leave the class then the ratio becomes 11: 7 What is the number of boys in the class now?
Answer: 44
Explanation:Here is no explanation for this answer
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