# Placement Questions & Answers :: Accenture

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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.

**Answer:**** Option B **

**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.

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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?

**Answer:**** Option A **

**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.

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43. Which of the following numbers are completely divisible by 11?

A. 3245682

B. 283712

C. 438416

D. 36894

**Answer:**** Option E **

**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

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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?

**Answer:**** Option B **

**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

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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?

**Answer:**** Option A **

**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

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

**Answer:**** Option B **

**Explanation:**

True Discount = (B.G*100)/(Rate*Time)

T.D = (8*100)/(10*2)

= 8*5 = Rs. 40

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

**Answer:**** Option B **

**Explanation:**

x(8) = 64 + 16 - 1 = 79

x(5) = 25 + 10 - 1 = 34

So, x(8)-x(5) = 79 - 34 = 45

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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?

**Answer:**** Option C **

**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

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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:

**Answer:**** Option B **

**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.

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

**Answer:**** Option C **

**Explanation:**

Given, p=1/2,q=1/5

So, p-q = (3/6 - 3/15) = (1/2 - 1/5) = 3/10

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Here is the list of questions asked in Accenture Aptitude Test Question with Answers Accenture Mock Test page 5. Practice Accenture Written Test Papers with Solutions and take Q4Interview Accenture Online Test Questions to crack Accenture written round test. Overall the level of the Accenture Online Assessment Test is moderate. Only those candidates who clear the written exam will qualify for the next round, so practic all the questions here and take all the free tests before going for final selection process of Accenture