# Infosys Previous Years Question Bank 3

Find solutions for all the questions at the end of each set:

### Set A

1.The cost of a black and white TV and a color TV are in 3 : 8 and total price of both is   Rs 12, 100. The difference in their prices is
(a) Rs. 6,600
(b) Rs. 6,050
(c) Rs. 5,500
(d) Rs. 5,100
2.A profit of Rs. 450 is divided between two partners, one of whom has contributed Rs. 1,200 for 5 months and the other Rs. 750 for 4 months. How much amount the second partner received?
(a) Rs. 300
(b) Rs. 425
(c) Rs. 150
(d) Rs. 175
3.A began business with Rs. 1,250 and is joined afterwards by B with Rs. 3,750. When did B join if the profits at the end of the year are divided equally?
(a) After 6 months
(b) After 8 months
(c) After 4 months
(d) After 7 months

4.A and B rent a pasture for 10 months; A puts in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
(a) 120
(b) 180
(c)  200
(d) 280

5.A certain amount of money is divided among A , B and C so that for each, A has 1 rupee, B has 65 paise and C has 40 paise. If C’s share is Rs. 8, find the sum of money.
(a) Rs. 14
(b) Rs. 41
(c) Rs. 37
(d) Rs. 24

6.Rs. 120 is divided between X, Y and Z, so that X’s share is Rs. 20 more than Y and Rs. 20 less than that of Z. The share of Y will be,
(a) Rs. 30
(b) Rs. 60
(c) Rs. 50
(d) Rs. 20

7.In a partnership between X and Y, X’s capital is 2/5 of total and is invested for 2/3 year. If his share of the profit is 4/7 of the total, for how long is Y’s capital in the business?
(a) 1 year
(b) 1/8 year
(c) 1/3 year
(d) 1/4 year

8.X and Y put in Rs. 3,000 and Rs. 4,000 respectively into a business. X reinvests into the business his share of the first year’s profit of Rs. 2,100 whereas Y does not reinvest. In what ratio should they share the second year’s profit?
(a) 39 : 40
(b) 3 : 4
(c) 3 : 7
(d) 40 : 79

9.In a partnership between A, B and C, A’s capital is Rs. 4,000. If in a profit of Rs. 800, A’s share is Rs. 200 and C’s share is Rs. 100, then B’s capital is
(a) Rs. 8,000
(b) Rs. 2,000
(c) Rs. 10,000
(d) Rs. 5,000

10.A workman earned Rs. 180 in a certain number of days. If his daily wages had been Rs. 2 less, he would take one more day to earn the same amount. Find how many days he worked at the higher rate?
(a) 18 days
(b) 10 days
(c)  9 days
(d) 6 days
1.(3)
The difference in their price is =
(8x+3x)/(8x-3x) = 12100/?
? = 5500
2.(c)
Ratio of contribution = 6 : 3
Amount received by second partner= 450/9*3 = 150
3.(b)
4.(d)
Let rent of 1 cow = Rs.1
So No of Cow put by B = 80*7= 560/2 = 280
5.(b)
C’s share Rs.8 means = 8/.40 = 20 coins
So Sum of money = 1*20 + 0.65*20 + 0.45*20 = Rs.41
6.(b)
7.(c)
Y’s capital = 1 – 2/5 = 3/5 of total,
Y’s profit = 1 – 4/7 = 3/7 of total
(X’s profit)/(Y’s profit) = (Y’s capital*period)/(Y’s capital*period)
Period of Y’s capital => 4/15*5/3x = 4/7*7/3 = 1/3 year
8.(a)
9.(c)
Ratio of profit A,B and C = 2 : 5 : 1
So B’s capital = 4000*2.5 = 10000
10.(c)
Find solutions for all the questions at the end of each set:

### Set B

1.A and B can do a work in 7(1/2 )days and 30 days respectively. In how many days can they complete the  work if they work together?
(a) 5
(b) 4
(c) 6
(d) 3
2.A can do a work in 24 days. B and C together can do the same work in 18 days. In how many days can A, B and C together do a work which is 3(1/2) times the previous work?
(a) 32 days
(b) 28 days
(c) 36 days
(d) 40 days

3.A, B and C together can do a work in 22 days. B and C can do 3/4 of work in 30 days. In how many days can A alone do the work?
(a) 47(8/9)
(b) 48(7/9)
(c) 48(8/9)
(d) 47(7/9)

4.A and B working together can complete a work in 6 days. A alone can complete the same work in 10 days. Every day if B works only half a day then in how many days can A and B together complete the work?
(a) 12 days
(b) 8 days
(c) 7(1/2) days
(d) 4(1/2) days

5.A can do half as much work as B in two – fifth of the time taken by B. If together they take 20 days, how much time shall B take to do it alone?
(a) 15 days
(b) 90 days
(c) 45 days
(d) 60 days

6.A is 80% as efficient as B. C does two-third of the work done by A and B together in the same time. If C alone does the work in 10 days. Then A and C, together can do the work in__________.
(a) 12 days
(b) 24 days
(c) 18 days
(d) 6 days

7.One man and one woman together can complete a piece of work in 18 days. A man alone can complete the work in 30 days. In how many days can one woman alone complete the work?
(a) 45 days
(b) 54 days
(c) 60 days
(d) 72 days

8.A can do a work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
(a) 12
(b) 10
(c) 16
(d) 14

9.22 skilled men can do a piece of work in 10 days and 45 unskilled men can do the work in 30 days. In how many days can 45 unskilled and 22 skilled men do the work?
(a) 10
(b) 9
(c) 8.5
(d) 7.5

10.24 men can prepare 12 toys in 6 days working 6 hrs a day then in how many days can 18 men prepare 15 toys working 6 hours a day?
(a) 10
(b) 13
(c) 12
(d) 15
1.(c)
Part of the work done by A and B in one day
= 2/15 + 1/30 = 1/6
so ,A and B together can do the work in 6 days.
2.(c)
A,B and C in one day can do 1/24 + 1/18 = 7/72 of the work.
A,B and C together can do the work in 72/7 days.
So,they can do 3(1/2) times the work in 72/7*7/2 = 36  days
3.(c)
B and C can do the work in 30 *4/3 = 40 days.
A’s one day work = 1/22 – 1/40 = 9/440
A can do the work in 440/9 = 48(8/9) days
4.(c)
5.(c)
Let B alone can do the work in ‘X’ days
=> A alone can do the work in (2x/5)/(1/2) = 4x/5 days
=> 1/x + 1/(4x/5) = 1/20
x = 45
6.(d)
7.(a)
Let the part of the work done by a man and a woman in one day be m and w respectively.
Given : m + w = 1/18
And m = 1/30
so w = 1/18 – 1/30 = 1/45
=> A woman alone can complete the work in 45 days.
8.(d)
9.(d)
One day work of 45 unskilled and 22 skilled workers = 1/30 + 1/10 = 2/15
So they take = 15/2 = 7.5 days
10.(a)
M1D1H1W2 = M2D2H2W1
24*6*6*15 = 18*6*12*D
D = 10 days.