51. Cost of an item is x. It's value increases by p% and decreases by p% Now the new value is 1 rupee, what is the actual value ?
Answer: 10000/[10000-(p^2)]
Explanation:Given cost of an item = Rs. X
Item cost by increasing p% will be = x(100+p)/100
After p% decrement, value = {x+(xp/100)}-[{x+(xp/100)}p/100]
= [x+(xp/100)] [1-(p/100)]
= x[1+(p/100)][1-(p/100)]
Givne new value is 1
x[1-((p^2)/10000)] = 1
x = 1/[1-((p^2)/10000)] = 10000/[10000-(p^2)]
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Accenture
52. how many matches would have to be played to decide a winner in a knockout tournament consisting of eight teams?
Answer: 7
Explanation:1 match for 2 team, first 8 team = 4 match
4 team - 2 match
2 team - 1 match
So, Total = 4+2+1=7 match
Workspace
Accenture
53. A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village.
Answer: 20 Km.
Explanation:Average speed = (2*a*b)/(a + b) here a = 25 b = 4
Average speed = 2*25 * 4/(25 + 4) = 200/29 kmph.
Distance covered in 5 hours 48 minutes = Speed * time
Distance = (200/29)*(29/5) = 40 kms
Distance covered in 5 hours 48 minutes = 40 kms
Distance of the post office from the village = (40/2) =20 km.
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Accenture
54. There ara two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is choosen from a bag randomly. What is the probability that the flower choosen is pink?
Answer: 5/9
Explanation:Probability of pink ball=((1/2)*3/9)+((1/2)*7/9)=5/9
Workspace
Accenture
55. Three friends Gerard, Rooney and Ronaldson work together to dig a hole. Gerard alone can complete the work in 10 days, Rooney in 8 days and together all three can complete it in 4 days. They earn a total of Rs. 1,200. Find the share of Rooney if the money that they receive is proportional to the work that they do?
Answer: Rs 600
Explanation:Ronaldson can complete work in 40 days ( 1/4-1/10-1/8)
So, ratio of work done = 1/10 :1/8 : 1/40 = 4 : 5 : 1
So, amount payed rooney = 1200 * (5 / (5+4+1) ) = 1200 * 1/2 = 600
So, Rooney share = 1200/2 = 600
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Accenture
56. A train runs first half of the distance at 40 km/hr and the remaining half at 60 km/hr. What is the average speed for the entire journey?
Answer: 48 Km/hr.
Explanation:Avg speed=2xy/(x+y)
=2*40*60/100 = 48 Km/hr.
Workspace
Accenture
57. The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater twice the sum of the two original numbers?
Answer: 4
Explanation:Lets assume number are x,y
So, there product = xy
Given number increased by 2
so, now number are x+2,y+2.
Given product is twice the sum of two original No.
=> product = (x+2)(y+2) = 2(x+y)
=> xy+2x+2y+4 =2(x+y)
=> xy+4
so it increase by 4
Workspace
Accenture
58. The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.
Answer: 10%
Explanation:Lets assume the original price of the jewel = Rs. P
and profit earned by the third seller= x%.
Then, ( 100 +x )% of 125% of 120% of P = 165% of p
=> [ ( 100+x )/100*125/100*120/100* P ] = [ 165/100* P ]
=> ( 100 + X ) = (165*100*100)/(125*120) = 110,
=> X = 10%.
Workspace
Accenture
59. find the number between 100 to 400 which is divisible by either 2,3,5,7..
Answer: 210
Explanation:LCM of 2,3,5,7=210
Workspace
Accenture TCS NQT
60. In a mixture of petrol and kerosene, petrol is only 99 litres. If this same quantity of petrol would be presented in another mixture of petrol and kerosene where total volume would be 198 litres less than the actual mixture then the concentration of petrol In the present mixture would have been 13.33% point less than that. What is the concentration of petrol in actual mixture?
Answer: 26.66%
Explanation:Lets assume amount of petrol = x
So, (x*100)/198=13.33
x=26.3934
Now same amount of petrol is in 99 liters also.
so the percentage in actual mixture is
(26.3934*100)/99 =26.66%
Workspace
Accenture