# Placement Questions & Answers :: Accenture

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81. A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest possible strength of the class?

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

**Explanation:**

For smallest possible class strength, we consider LCM of the given numbers. So LCM (5, 13, 17) = 1105.

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82. If the radius of a circle is increased by 20% then the area is increased by:

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

**Explanation:**

Let say radius = ?r^2 = ?10^2 = 100?

New radius = 10 * 120% = 12

New area = ?12^2 = 144?

Increment = [(144??100?)/100?]*100 = 44%

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83. A box contains 90 bolts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg., then the weight of the empty box is :

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

**Explanation:**

Lets assume the weight of Empty box = x Kg.

90 * 0.100 + 100 * 0.150 + x = 35.5

Then x = 10.5 kg

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84. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?

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

**Explanation:**

Lets assume the average of all 10 members 4 years ago = x years.

After 4 years, 10 members age increases by 10*4 = 40 years.

Conditon given: There is no change in the average as a person is replaced by an younger one.

=> The younger one age is 40 years less than the old one.

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85. When Raja was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raja's brother is 6 years older than Raja and his mother is 3 years younger than his father, how old was Raja's sister when Raja was born?

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

**Explanation:**

Given, Raja's brother 6 year old when Raja was born.

His father's age = 32 + 6 = 38 year

His mother's age = 35 year

His sister age = (35 -25) = 10 years

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86. A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is

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

**Explanation:**

The probability of selecting girl is: 25/100 = 1/4

The probability of selecting rich is: 20/100 = 1/5

The probability of selecting fair complexioned is: 40/100 = 2/5

Three are independent:

So, probability of rich and fair complexioned girl is = (1/4) *(1/5)* (2/5) = 1/50

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87. If one-third of one-fourth of a number is 15, then three-tenth of that number is:

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

**Explanation:**

Lets assume number = x

so, 1/4(1/3 x ) = 15

=> x = 180

so three-tenth of that number = 3/10 * 180 = 54

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88. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

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

**Explanation:**

C.P. of 100 orange=350

S.P. of 12 is 48 i.e, 4 of each now of 100 will be 400

So profit = 400 - 350 = 50

Profit = profit * 100% cp = 100/7% gain

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89. There are 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 chosen from a bag randomly. What is the probability that the flower chosen is pink?

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

**Explanation:**

Given Bag A contain 6 red & 3 pink => total ball = 9

Bag B contain 2 red & 7 pink => total ball = 9

Probability of picking 1 pink from bag A = 3/9

Probability of picking 1 pink from bag B = 7/9

Total = 3/9 + 7/9 = 10/9

And probability of selecting a bag is 1/2

So, probability of choosing a pink flower = [(1/2)* (10/9)] = 5/9

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90. 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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Here is the list of questions asked in Accenture Aptitude Test Question with Answers Accenture Mock Test page 9. 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