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# Placement Questions & Answers :: Accenture

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#### Co. Cloud

Not Attempted

41. In a stream running at 2 kmph,a motar boat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motarboat in still water.

Explanation:

Lets assume speed of boat in still water = x km/hr
So boat downstream speed = (x+2) km/hr.
boat upstream speed = (x-2) km/hr.

6/(x-2)+6/(x+2)=33/60 => 6/(x-2)+6/(x+2)=11/20
=> 120*[(x-2) + (x+2)] = 11*x^2 -44
=> 240 x = 11*x^2-44
=> 11* x^2 -240x -44 = 0 ---------(1)
By solving eq. (1)
x = 22 km/hr.

Tags: Accenture

Not Attempted

42. Exact time of a clock was set right at 5:00 am then it loses 16 min. every day, on the 4th day when it shows 10:00 am, what is the exact time?

Explanation:

Total late in three day = 16*3 = 48 min.
Total late in one day =16 min.
so late in 1 min. = 16/(24*60) = 0.01111;
Hence in 5 hour (5:00 AM to 10:00 AM on 4th day) =.0111*5*60 = 3.333;
So, Exact time will be = 10:52 AM.

Tags: Accenture

Not Attempted

43. Which of the following numbers are completely divisible by 11?
A. 3245682
B. 283712
C. 438416
D. 36894

Explanation:

Note: If the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11.

[(Sum of digits at odd places) - (Sum of digits at even places)]/11
=> [(3+4+6+2) - (2+5+8)]/11 => (15 - 15)/11 = 0/11 = 0
similarly others number are divisible by 11

Tags: Accenture

Not Attempted

44. If a number cube is rolled once and coin is tossed once. What is the probability that the coin will show tails and composite number on the cube?

Explanation:

Numbers on cube (1,2,3,4,5,6)
Composite number on dice are 4 and 6.

So, Probability that the coin will show tails and composite number on the cube = (1/2) *(2/6) = 1/6

Note: Composite number is a positive integer that can be formed by multiplying together two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself

Tags: Accenture

Not Attempted

45. The time a passenger train takes to cross another freight train is twice when the passenger train crosses the freight train running in opposite directions. What is the ratio of their speeds?

Explanation:

Lets assume speed of freight train = X Km/hr
speed of passenger train = Y Km/hr.
and sum of their length = D Km.
When trains are running in same direction:
so Time = D/(X-Y) ---------- (1)
When trains are running in opposite direction:
So, Time = D/(X+Y) --------- (2)
By eq. (1) & (2)
[D/(X-Y)] = 2 * [D/(X+Y)]
=> 2X-2Y = X+Y
=> X = 3Y
=> X:Y = 3:1

Tags: Accenture

Not Attempted

46. The banker's gain on a bill due 2 year hence at 10% per annum is Rs. 8. The true discount is:

Explanation:

True Discount = (B.G*100)/(Rate*Time)
T.D = (8*100)/(10*2)
= 8*5 = Rs. 40

Tags: Accenture

Not Attempted

47. If x(a) = a^2+2a-1, then x(8)-x(5) =

Explanation:

x(8) = 64 + 16 - 1 = 79
x(5) = 25 + 10 - 1 = 34
So, x(8)-x(5) = 79 - 34 = 45

Tags: Accenture

Not Attempted

48. If a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?

Explanation:

Old model is capable of printing at a rate of 4900 per hour
New model is capable of printing at a rate of 6600 per hour
Old model time taken to print 10000 cards = 10000/4900 = 100/49
New model time taken to print 10000 cards = 10000/6600 = 100/66
Old model - new model: 100/49 - 100/66 = 1700 /(49*66) = 850/(49 * 33) = 0.525 hrs => 31 mins
Therefore, the old model will take approximately 31 mins longer than the new model to print 10000 bills

Tags: Accenture

Not Attempted

49. To finish a piece of work, P takes Five times as Q and six times as R. Working together, they can finish the work in 4 days. Q can do the work alone in:

Explanation:

Lets assume Q take x days to finish the work
so P take time = 5x, and R take time R=5x/6
Given, They took 4 day to finish the work.
1/5x+1/x+6/5x= 1/4 => 12/5x = 1/4
x=48/5
So, Q can do work alone in 48/5 days.

Tags: Accenture

Not Attempted

50. If 3/p = 6 and 3/q = 15 then p - q = ?