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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

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

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

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

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

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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Accenture

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: **

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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Accenture

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.

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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Accenture

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

**Answer: **3/4

Here is no explanation for this answer

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Accenture

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

**Answer: **9H

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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Accenture

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.

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