# Placement Questions & Answers :: Accenture

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51. The sum of a number and its square is 1406. What is the number?

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

**Explanation:**

Lets assume the no. = x

so x+x^2=1406

by putting values from options

37+37^2

=37(37+1)

=37*38 =1406

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52. 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:**** Option A **

**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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53. how many matches would have to be played to decide a winner in a knockout tournament consisting of eight teams?

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

**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

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54. 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:**** Option D **

**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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55. 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:**** Option C **

**Explanation:**

Probability of pink ball=((1/2)*3/9)+((1/2)*7/9)=5/9

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56. 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:**** Option D **

**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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57. 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:**** Option C **

**Explanation:**

Avg speed=2xy/(x+y)

=2*40*60/100 = 48 Km/hr.

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58. 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:**** Option B **

**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

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59. 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:**** Option A **

**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%.

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60. find the numbers between 100 to 400 which is divisible by either 2,3,5,7..

**Answer:**** Option D **

**Explanation:**

LCM of 2,3,5,7=210

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Here is the list of questions asked in Accenture Aptitude Test Question with Answers Accenture Mock Test page 6. 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