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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

Workspace

Accenture Adobe Amazon

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.

Workspace

Accenture Adobe Alcatel-Lucent Aricent Amazon Wipro Global Edge

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.

Workspace

Broadcom Ltd Accenture Adobe Amazon Global Edge

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 (B can do work in half time)

(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.

Workspace

Accenture Global Edge

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

Workspace

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.

Workspace

Accenture

7. The cost of two varieties of paint is Rs.3969 per 2 kg and Rs.1369 per 2 kg respectively. After how many years, the value of both paint will be the same, if variety 1 appreciates at 26% per annum and variety 2 depreciates at 26% per annum?

**Answer: **2

Simply appreciates variety 1 by 26% and depreciates variety 2 by 26% as:

3969(1-(1/26))^n=1369(1+)1/26))^n

For n = 2 we get both values equal.

Variety 2 Variety1

3969.00 1369 Initially

2937.06 1724.94 after I year

2173.42 2173.42 after II year

So the price become same after 2 years.

Workspace

IBM Accenture

8. 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.

Workspace

Accenture

9. 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

Workspace

Accenture

10. 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

Workspace

Accenture