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Placement Questions & Answers :: Accenture

1. When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

Answer: 349

Explanation:

x = 13p + 11 and x = 17q + 9

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2. A' and 'B' complete a work togather in 8 days.If 'A' alone can do it in 12 days.Then how many day 'B' will take to complete the work?

Answer: 24 days

Explanation:

A & B one day work = 1/8
A alone one day work = 1/12
B alone one day work = (1/8 - 1/12) = ( 3/24 - 2/24)
=> B one day work = 1/24
so B can complete the work in 24 days.

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3. If A alone can do a piece of work in 8 days and B alone can do the same work in 12 days. How many days A and B required to finish the same work if they work togather?

Answer: 24/5 days

Explanation:

A alone one day work = 1/8
B alone one day work = 1/12
Both A and B one day work = (1/8 + 1/12) = (3/24 + 2/24)
= 5/24
so A and B together finish the work in 24/5 day
or 4 4/5 days.

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4. A can finish a piece work in 18 days and B can do the same work in half the time taken by A. So if they working together, what part of the same work can finished in a day?

Answer: 1/6

Explanation:

First find the 1 day work of both (A & B)
A's 1 day's work = 1/18
and
B's 1 day's work = 1/9
(A + B)'s 1 day's work = (1/18+1/9)
= (1+2)/18 = 3/18 = 1/6
so A & B together can do 1/6 of work in 1 day.

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Accenture 

5. The cost price of an article ls 80% of its marked price for sale. How much percent does the trades-man gain after allowing a discount of 12%?

Answer: 10

Explanation:

C.P. of the article = Rs. 100

So Marked price = (100*100)/80 = Rs. 125
SP after the discount = Rs.(125*88)/100 = Rs. 110

therefore Gain percent = 10

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6. If 6 is subtracted from the present age of Ritu and the remainder is divided by 6, then the present age of Sheema is obtained. If Sheema is 4 years younger to raju whose age is 12 years, then find the age of Ritu

Answer:

Explanation:

Lets assume Ritu present age = x years
so sheema age = (x-6)/6 years

As per question:
sheema age [(x-6)/6 + 4] = 12
(x-6)/6 = 12 - 4
=> (x-6)/6 = 8
=> x - 6 = 48 => x = 54

So Ritu age = 54 years.

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7. A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?

Answer: 6 hrs.

Explanation:

Lets assume additional hours = x hrs.
So total No. hours in journey = (4+x)
[(55*4)+(70*x)]/(4+x)=60 =>
=>x=2
Therefore, Total No. of hrs. in Journey = (x+4) = 6 hrs.

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8. 2 boxes, 32 black n 31 red balls the probability of getting black ball is maximum. The maximum probability is

Answer: 3/4

Explanation:

Here is no explanation for this answer

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9. A ball dropped from H height and moves 80% of height each time. Total distance covered is

Answer: 9H

Explanation:

First time distance= H
Second time = 80H/100 = 4H/5
similarly third time 80% of 4H/5 = H(4^2)/(5^2)
and so on..
This will lead to infinite terms of geometric progression
i.e H+2*4H/5+2*16H/25..
So, Sum = H+ 2*4H/(5(1-4/5)) = 9H

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10. At 10:00 am 2 trains started travelling towards each other from station 287 miles apart they passed each other at 1:30 pm the same dayy .if average speed of the faster train exceeded by 6 miles /hr what is speed of faster train in miles/hr:

Answer: 44 miles/hrs.

Explanation:

Lets assume the speed of slower train = x miles/hrs.
So, speed of faster train is = (x+6) miles/hrs.
Given, passed each other at 1:30 PM i.e after 3 1/2 hrs.
Both train travelling towards each other so total relative speed = x+(x+6) = (2x+6)
So, 287/(2x+6) = 7/2 => 574 = 14x + 42
=> 14x = 542 => x = ~38

So spee of faster train = (x+6) miles/hrs. = 44 miles/hrs.

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Accenture