KRISHNA MOHAN

Monday, 24 July 2017

Quant Quiz-Simple Interest

1.A sum of Rs. 1600 gives a simple interest of Rs. 252 in 2 years and 3 months.

The rate of interest per annum is:?

(a)51/2%

(b) 8%

(d) 6%

(e)none of these

2.A sum of Rs. 1750 is divided into two parts such that the interests on the first part at 8% simple interest per annum-

and that on the other part of 6% simple interest per annum are equal. The interest on each part (In rupees) is ?

(a) 60

(b) 65

(d) 40

(e)none of these

3.Rs. 500 was invested at 12% per annum simple interest and a certain sum of money invested at 10% per annum simple interest at.

If the sum of the interests on both the sums after 4 years is Rs. 480, the latter sum of money is?

(a Rs. 450

(b) Rs. 750

(d) Rs. 550

(e)none of these

4.A sum of money lent out at simple interest amounts of Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?

(a)Rs. 500

(b) Rs. 600

(d) Rs. 710

(e)none of these

5.In what time will Rs. 72 become Rs. 81 at 25/4% per annum simple interest?

(a2 years

(b) 3 years

(d) Can't determine

(e)None of these

6.The simple interest on a certain sum for 8 months at 4% per annum is Rs. 129 less than the simple interest on the same sum for 15 months at 5% per annum. The sum is:

(a) Rs. 2580

(b) Rs. 2400

(d) Rs. 3600

(e)None of these

7.A person deposited Rs. 400 for 2 years, Rs. 550 for 4 years and Rs. 1,200 for 6 years. He received the total simple interest of Rs. 1,020.

The rate of interest per annum is ?

(a)10%

(b) 5%

(d) 20%

(e)None of these

8.A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?

(a) 5 5/9%

(b) 6 5/9%

(d) 25%

(e)None of these

9.At what rate per cent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

(a) 4

(b) 6

(d) 62/3

(e)None of these

10.Simple interest on a certain sum for 6 years is 9/25 of the sum. The rate of interest is ?

(a) 6%

(b) 6 1/2%

(d) 8 1/2%

(e)None of these

Answers:

1.(c)
Principal, P = Rs. 1600
T = 2 year 3 months
= (2+3/12)yrs.=(2+1/4)yrs.= 9/4 yrs.
S.I = Rs. 252
R = % rate of interest per annum
R= (100×S.I.)/(P×t)
=(100×252)/(1600×9/4)
Rate of interest = 7% per annum.

2.(a)
Let first part = Rs. x and second part = Rs. (1750-x)
According to the question.
x×8/100=(1750-x)×6/100
8x + 6x = 1750 x 6
14x = 1750 x 6
x=(1750×6)/10=Rs.750
Interest = 8% of Rs. 750
= 750 × 8/100=Rs,750
= 750 × 8/100=Rs.60

3.(c)
Simple interest gained from Rs. 500
= (500×12×4)/100 = Rs. 240
Let the other Principal be Rs. x.
S.I. gained = Rs. (480 -240) = Rs. 240
(x×10×4)/100=240
x=(540×100)/40 = Rs. 600

4.(b)
Principal + SI for 2 years = Rs. 720 …..(i)
Principal + SI for 7 years = Rs. 1020 ….(ii)
Subtracting equation (i) from (ii) we get,
SI for 5 years
= Rs. (1020 -720) = Rs. 300
SI for 2 years = Rs. 300× 2/5= Rs. 120
Principal = Rs. 720- Rs. 120 = 600

5.(a)
Interest = Rs. (81-72) = Rs. 9
Let the time be t years.
9 = (72×25×t)/(4×100)
t=(9×400)/(72×25)=2 years

6.(d)
Let the sum be Rs. x
(x ×5 ×15)/(100 ×12)-(x ×4 ×8)/(100 ×12)=129
x/(100×12) (75-32)=129
x=(129×1200)/43= Rs. 3600

7.(a)
Let the rate of interest be R per cent per annum.
(400×2×R)/100+(550×4×R)/100+(1200×6×R)/100=1020
8R + 22R + 72R = 1020
102 R =1020
R = 1020/102=10%

8.(a)
Principal = P
Amount = 7p/6
S.I. = 7p/6-P=P/6
? R=(S.I×100)/(P×T)=(P×100)/(6×p×3)
= 50/9=5 5/9%

9.(a)

10.(a)
Rate = (SI ×100)/(Principal ×Time)
= 9/25×100/6=6% per annum

Quant quiz-Partnership

1.A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B.

In what proportion should the profit at the end of one year be distributed amount A, B and C?

A.3:7:5

B.6:10:5

C.6:10:7

D.6:7:5

E.none of these

2.Three partners A,B and C shared the profit in a software business in the ratio 5:7:8.

They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?

A.19:49:64

B.20:49:64

C.20:49:65

D.20:50:64

E.none of these

3.A starts business with Rs. 3500 and after 5 months, B joins with A as his partner.

After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital?

A.Rs 9000

B.Rs 7000

C.Rs 5000

D.Rs 4000

E.none of these

4.Dheeraj distributed his total assets to his wife,three sons,two daughters and five grandchildrens in such a way that each grand-child got one -eighth of each son or one -tenth of each daughter ,

his wife got 40% of the total share of his sons and daughters together.if each daughter recieved asset of worth Rs.1.25 lakh.What was the total worth of assets recieved by his wife and the three grandchildren together?

A.Rs.32500

B.Rs.257500

C.Rs.282500

D.Cannot be determined

E.none of these

5.Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year.

If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?

A.Rs. 20000

B.Rs. 30000

C.Rs. 40000

D.Rs. 50000

E.none of these

6.Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000.

After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?

A.Rs 7000

B.Rs 6000

C.Rs 5000

D.Rs 4000

E.none of these

7.In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2, If Rs 157300 was their profit, how much amount did B receive?

A.Rs 48000

B.Rs 47000

C.Rs 47400

D.Rs 48400

E.none of these

8.A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more.

After another 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by?

A.Rs. 3200

B.Rs. 3400

C.Rs. 3600

D.Rs. 3800

E.none of these

9.A, B and C jointly thought of engaging themselves in a business venture.

It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which,

he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit?

A.Rs. 1900

B.Rs. 2660

C.Rs. 2800

D.Rs. 2840

E.none of these

10.Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months.

The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

A.7 : 6 : 10

B.12 : 15 : 16

C.42 : 45 : 56

D.Cannot be determined

E.none of these

Next topic is Simple interest and Compound interest.

Answers:

1.(B)
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A:B:C =(3x*12):(5x*12):(5x*6)
= 36:60:30
= 6:10:5

2.(B)
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
Then, 14x : 8y : 7z = 5 : 7 : 8
Now, 14x/8y = 5/7
y = (49/20)x
14x/7z = 5/8
z = (16/5)x
x:y:z = x:(49/20)x:(16/5)x
20:49:64

3.(A)
Let B contribution is x.
(3500∗12)/7x=2/3
14x=126000
x=Rs9000

4.(B)
Share of one grandchild=1/10*1.25=Rs.0.125 lakh
Each son gets=8*0.125=Rs.1 lakh
Share of 3 sonns=Rs.3 lakhs
Share of 2 daughters=2*1.25=Rs.2.5 lakhs
Total shares of sons and daughters=Rs.5.5 lakhs
Wife's share=2/5*5.5=Rs.2.2 lakhs
Share of three grandchildren=3*0.125=Rs.0.375 lakhh
Required answer
=(2.2+0.375)lakh
Rs.2.575 lakhs
Rs.257500

5.(B)
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 120000 * 6 : x *12.
720000/12x : 6000/3000
x = 30000

6.(D)
Just take care of the months of investment, rest all will be simple.
Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3
= 2:2:1
Atul's share = Rs. 20000 * (1/5) = Rs. 4000

7.(D)
A:B = 3:2 = 6:4
A:C = 2:1 = 6:3
A:B:C = 6:4:3
B share = (4/13)*157300
= 48400

8.(C)
A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6
= 147:189:126 = 7:9:6
Difference of B and C's shares =
Rs. [26400 * (9/22)-26400 * (6/22))
= Rs. 3600

9.(B)
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
B's share = Rs.(7030 x14/37)= Rs. 2660.

10.(B)
Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.

Quant Quiz-Time and Work

1.Adam can do a job in 15 days, John can do the same job in 20 days.

If they work together for 4 days on this job. What fraction of job is incomplete ?

A.1/4

C.1/10

B.7/15

D.8/15

E. none of these

2. Ram takes 6 hours to type 32 pages. Shaam takes 5 hours to type 40 pages.

In how many hours they will type 110 pages together ?

A.7 hours

B.8 hours

C.8 hours 15 min

D.8 hours 30 mins7 hours

E. none of these

3.7 men take 12 days to complete a job. They worked for 5 days, after 5 days 2 men left the job.

In how many days 5 men will complete the job ?

A. 5 days

B. 7 days

C. 9 days

D.10 days

E. none of these

4.If A, B and C can do a job in 20, 30 and 60 days respectively.

In how many days A can do the work if B and C help him on every third day ?

A. 12 days

B. 15 days

C. 16 days

D. 18 days

E.none of these

5.A is twice as good as workman as B and together they finish a piece of work in 18 days.

In how many days will B alone finish the work?

A.27 days

B.54 days

C.56 days

D.68 days

E.none of these

6.A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes.

B alone can do the whole work in ?

A.15 days

B.10 days

C.9 days

D.8 days

E.none of these

7.4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days.

In how many days will 10 women working together finish it ?

A.30 days

B.40 days

C.50 days

D.60 days

E.none of these

8.10 women can complete a work in 7 days and 10 children take 14 days to complete the work.

How many days will 5 women and 10 children take to complete the work?

A.6 days

B.7 days

C.8 days

D.9 days

E.none of these

9.5 men and 2 boys working together can do four times as much work as a man and a boy.

Working capacity of man and boy is in the ratio?

A.1:2

B.1:3

C.2:1

D.2:3

E.none of these

10.A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours,

for the completion of the same product.If all of them worked together and completed 14 products, then how many hours have they worked?

A.20 hrs

B.28 hrs

C.40 hrs

D.54 hrs

E.none of these

Next topic is Partnership.

Answers:

1.(D)
Adam can do 1/15 of the job per day
John can do 1/20 of the job per day
If they work together they can do 7/60 of the work together
Remaining job 1 - 4*7/60 = 32/60 = 8/15

2.(C)
Ram can type 32/6 pages per hour
Shaam can type 8 pages per hourThey can type 32/6 + 8 = 40/3 pages per hour
So they will take 110/40 × 3 = 33/4 hours or 8 hours 15 minutes

3.(E)
7 men can do 1/12 of the job per day
So after 5 days they have completed 5/12th job. Still 7/12 part of the job is to be completed.
5 men can do 1/12 × 5/7 = 5/84 of the job per day
So they will take 7/12 × 84 /5 = 9 ⅘ days to complete the job

4.(B)
Efficiency of A = 1/20 = 5% per day
Efficiency of B = 1/30 = 3.33% per day
Efficiency of C = 1/60 = 1.66% per day
In three days A can do 15% of the job himself and B and C do 5% of the job ( 1.66% + 3.33% )
In three days they can do 20% of the job, to do 100% of the job, they need 3 × 5 = 15 days

5.(B)
As per question, A do twice the work as done by B.
So A:B = 2:1
Also (A+B) one day work = 1/18
To get days in which B will finish the work, lets calculate work done by B in 1 day =
=(1/18∗1/3)=1/54
[Please note we multiplied by 1/3 as per B share and total of ratio is 1/3]
So B will finish the work in 54 days

6.(A)
Ratio of times taken by A and B = 1:3
Means B will take 3 times which A will do in 1 time
If difference of time is 2 days, B takes 3 days
If difference of time is 10 days, B takes (3/2) * 10 =15 days

7.(B)
Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]
10 women 1 day work = 10/400 = 1/40
10 women will finish the work in 40 days

8.(B)
1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(5/70+10/140)=1/7
So 5 women and 10 children will finish the work in 7 days.

9.(C)
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 2y = 4(x+y)
x = 2y
x/y = 2/1
x:y = 2:1

10.(C)
1/A=1/10 and
1/B+1/C=1/4 (Given)
1/A+1/B+1/C=1/4+1/10
=7/20
In 20 hours, working together they will complete 7 products.
Thus in 40 hours they will complete 14 products

Quant Quiz- Profit and Loss

1.Rohit bought paper sheets for Rs 7200 and spent Rs 200 on transport.

Paying Rs 600, he had 330 boxes made, which he sold at Rs 28 each. His profit percentage is ?

a.15.5

b.60

c.40 .

d.35

e.None of these

2.A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3.

If he sells the blended variety at Rs 21 per kg, then his gain percent is?

a.10

b.19

c.12

d.22

e.None of these

3.If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?

a.25% loss

b.25% profit

c.20% loss

d.20% profit

e.5% profit

4.Reshu bought 4 dozen oranges at Rs 12 per dozen and 2 dozen oranges at Rs 16 per dozen.

She soldthem all to earn 20% profit. At what price per dozen did he sell the oranges ?.

a.14.4

b.16.8

c.16

d.19.2

e.None of these

5.A bought a ratio st and spent Rs 110 on its repairs.

He then sold it to B at 20% profit,B sold it to C at a loss’ of 10 % and C sold it for Rs 1188 at a profit of 10 %. What is the amOunt for which A bought the radio set?

a.Rs 850

b.Rs 930

c.Rs 890

d.Rs 950

e.None of these

6.Rahim buys mangoes at the rate of 3 kg for Rs 21 and sells them at 5 kg for Rs 50. To earn Rs 102 as profit, he must sell?

a.26 kg

b.34 kg

c.32 kg

d.56 kg

e.None of these

7. Ram purchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs 72 to the coolie.

If he wants to have a gain of 8 %, what must be the selling price per ream?

a.90

b.89

c.87.48

d.86

e.None of these

8. Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?

a.Rs 1.10

b.Rs 11

c.Rs 16.50

d.Rs 27.50

e.None of these

9.A horse and a cow were sold for Rs. 12000 each.

The horse was sold at a loss ot 20% and the cow at gain ot 20% 1 he entire transaction resulted in?

a.no loss or gain

b.gain of Rs. 1000

c.loss of Rs. 1000

d.gain of Rs. 2000

e.None of these

10.By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain. 20 % in the transaction ?

a.16

b.20

c.18

d.22

e.None of these

Next topic is Time and Work

Answers:

1.(a)
Total investment = Rs. (7200+200+ 600) Rs. 8000.
Total receipt Rs. (330 x 28) = Rs. 9240.
profit % = [1240/8000] * 100 = 15.5

2.(c)
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Sell price = Rs. (8 x 21) = Rs. 168.
profit % = (18/150) * 100 = 12%

3.(c)
Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 25 articles = cost price of 20 articles = $20.
Now, we know the selling price of 25 articles. Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 20 - 25 = -$5.
As the profit is in the negative, the merchant has made a loss of $5.
Therefore, % loss = loss/cp * 100
% loss = -5/25 * 100 = 20% loss.

4.(c)
Total CP = (12*4 + 16 *2) = 80
SP of 6 dozen oranges = [(120/100 )* 80)] = 96
sell price per dozen =16

5.(c)
110% of 9O% of 120% of A = 1188.
[(110/100)*(90/100)*(120/100)*A] = 1188 or A = 1188/1000
since A =1188 hence A = 100
A purchased it for Rs. (1000— 110) = Rs. 890.

6.(b)
rate of buying = 7; rate of selling = 10 to gain 3 Rs he must buy 1 kg
for 102 profit he must buy = (102/3) = 34

7.(a)
Total investment = Rs. (120 * 80 + 280 + (40/100) * 120 + 72).
= Rs. (9600 + 280+48 + 72) = Rs, 10000.
Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.
Sell Price per ream = Rs. [10800/120] = Rs. 90.

8.(d)
Cost price of 25 kg = Rs. (15 x 14.50 + lOx 13) = Rs. 347.50.
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.
profit = Rs. (375 — 347.50) = Rs. 27.50.

9.(c)
Total S.P. Rs, 24000.
C.P. of horse =Rs. [(100/80) x 12000] = 15000.
C.P. of cow = Rs.[(100/120) x 12000] = 10000
Total C.P. = Rs. 25000.
Loss = Rs. (25000—24000) Rs 1000.

10.(c)
Let S.P. of 45 lemons is Rs. x.
80 : 40 = 120 : x or 80/40 = 120/x or x = 40 * 120 / 80 = 60
lemons sold For Rs. 60, = 45
lemons sold For Rs. 24, = (45/60) * 24= 18.

Quant Quiz-Time and distance

1.Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?

a.15 hours

b.16 hours

c.17 hours

d.18 hours

e.None of these

2. 2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?

a.11:9

b.13:9

c.17:9

d.21:9

e.None of these

3. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?

a.200 Km

b.222 Km

c.224 Km

d.248 Km

e.None of these

4. A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?

a.16 km

b.14 km

c.12 km

d.10 km

e.None of these

5.If a train runs at 40 km/hour, it reaches its destination late by 11 minutes. But if it runs at 50 km/hour, it is late by 5 minutes only.

The correct time (in minutes) for the train to complete the journey is?

a.13

b.15

c.19

d.21

e.None of these

6.Busses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes.

What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?

a.3 km/hr

b.4 km/hr

c.5 km/hr

d.7 km/hr

e.None of these

7.The distance between two cities A and B is 330km. A train starts from A at 8 (a)m. and travels towards B at 60 km/hr. Another train starts from B at 9 (a)m.

and travels towards A at 75 km/hr. At what time do they meet?

a.10 am.

b.10 : 30 am.

c.11 am.

d.11 : 30 am.

e.None of these

8.Two trains are moving on two parallel tracks but in opposite directions.

A person sitting in the train moving at the speed of 80 km/hr passes the second train in 18 seconds. If the length of the second train is 1000 m, its speed is?

a.100 km/hr

b.120 km/hr

c.140 km/hr

d.150 km/hr

e.None of these

9.In covering a distance of 30 km, Abhay takes 2 hours more than Sameer.

If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is?

a.5 kmph

b.6 kmph

c.6.25 kmph

d.7.5 kmph

e.None of these

10.It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car.

It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is?

a.2 : 3

b.3: 2

c.3 : 4

d.4 : 3

e.None of these

Answers:

1.(c)

In this type of questions we need to get the relative speed between them,

The relative speed of the boys = 5.5kmph-s5kmph

= 0.5 kmph

Distance between them is 8.5 km

Time = Distance/Speed

Time= 8.5km / 0.5 kmph = 17 hrs

2.(a)

We know total distance is 200 Km

If both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km [110+90=200km]

So ratio of their speed = 110:90 = 11:9

3.(c)

Let time taken to travel the first half = x hr

Then time taken to travel the second half = (10 - x) hr

Distance covered in the the first half = 21x [because, distance = time*speed]

Distance covered in the the second half = 24(10 - x)

Distance covered in the the first half = Distance covered in the the second half

So,

21x = 24(10 - x)

=> 45x = 240

=> x = 16/3

Total Distance = 2*21(16/3) = 224 Km [multiplied by 2 as 21x was distance of half way]

4.(a)

Let the time in which he travelled on foot = x hour

Time for travelling on bicycle = (9 - x) hr

Distance = Speed * Time, and Total distance = 61 km

So,

4x + 9(9-x) = 61

=> 5x = 20

=> x = 4

So distance traveled on foot = 4(4) = 16 km

5.(c)

If the distance be x km, then x/40-x/50=6/60

x/4-x/5=1

x=20 km.

Required time = (20/40) hour – 11 minutes

= (1/2×60-11) minutes = 19 minutes

6.(c)

Distance covered in 10 minutes at 20 kmph = distance covered in 8 minutes at (20+x) kmph

20× 10/60=8/60(20+x)

200 = 160 + 8x

8x = 40

x=40/8=5 kmph

7.(c) Distance travelled by first train in one hour

= 60 x 1 = 60 km

Therefore, distance between two train at 9 a.m.

= 330 – 60 = 270 km

Now, Relative speed of two trains = 60 + 75 = 135 km/hr

Time of meeting of two trains =270/135=2 hrs.

Therefore, both the trains will meet at 9 + 2 = 11 A.M.

8.(b) Let the speed of second train be x m/s.

80 km/h = (80×5)/18 m/s

According to the question 1000/(x+(80×5)/18)=18

100 – 18x + 400

x=666/18 m/s

= 600/18×18/5 km/h = 120 km/h

9.(a)

Let Abhay's speed be x km/hr.

Then, 30/x-30/2x= 3

6x = 30

x = 5 km/hr.

10.(c)

Let the speed of the train be x km/hr and that of the car be y km/hr.

Then, 120/x+480/y= 8 1/x+4/y=1/15 ....(i)

And, 200/x+400/y=25/3 1/x+2/y=1/24 ....(ii)

Solving (i) and (ii), we get: x = 60 and y = 80.

Ratio of speeds = 60 : 80 = 3 : 4.

Data Interpretation Quiz

Directions: (1- 5 ) :- The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book.

Study the pie-chart and the answer the questions based on it.Various Expenditures (in percentage) Incurred in Publishing a Book

1. If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost,

and then what will be amount of royalty to be paid for these books?

1. Rs. 19, 450

2. Rs. 21, 200

3. Rs. 22, 950

4. Rs. 26, 150

5. None of these

2. What is the central angle of the sector corresponding to the expenditure incurred on Royalty ?

1. 15°

2. 24°

3. 54°

4. 48°

5. None of these

3. The price of the book is marked 20% above the C.P. If the marked price of the book is Rs 180 ,

then what is the cost of the paper used in a single copy of the book?

1. Rs. 36

2. Rs. 37.5

3. Rs. 42

4. Rs. 44.25

5. None of these

4. If 5500 copies are published and the transportation cost on them amounts to Rs. 82500,

then what should be the selling price of the book so that the publisher can earn a profit of 25%?

1. Rs. 187.50

2. Rs. 191.5

3. Rs. 175

4. Rs. 180

5. None of these

5. what % Royalty on the book is less than the printing cost?

1. 5%

2. 33 1/5 %

3. 20 %

4. 25 %

5. None of these

Direction (6-10): Study the following graph carefully and answer the questions given below it.

6. What is the total number of students studying B.Sc in all the colleges together?

(1) 1825

(2) 1975

(3) 1650

(4) 1775

(5) None of these

7. What is the respective ratio of total number of students studying B.Sc.

in the Colleges C and E together to those studying B.A. in the Colleges A and B together?

(1) 24 : 23

(2) 25 : 27

(3) 29 : 23

(4) 29: 27

(5) None of these

8. What is the respective ratio of total number of students studying B.Sc.,

B.A. and B. Com in all the colleges together?

(1) 71 : 67 : 75

(2) 67 : 71 : 75

(3) 71 : 68 : 75

(4) 75 : 71 : 68

(5) None of these

9. Number of students studying B.Com.

in College C forms approximately what per cent of the total number of student studying B. com in all the Colleges together?

(1) 39%

(2) 21%

(3) 44%

(4) 33%

(5) 17%

10. Number of students studying B. A. in College B forms what per cent of total -

number of students studying all the disciplines together in that college? ( Rounded off to two digits after decimal)

(1) 26.86

(2) 27.27

(3) 29.84

(4) 32.51

(5) None of these

ANSWERS
1. : (3)
Let the amount of Royalty to be paid for these books be Rs. r.
Then, 20 : 15 = 30600 : r
r = Rs. 22,950

2. : (3)
Central angle corresponding to Royalty = (15% of 360)º
[(15/100) *360] = 54

3. : (2)
Clearly, marked price of the book = 120% of C.P.
Also, cost of paper = 25% of C.P
Let the cost of paper for a single book be Rs. n.
Then, 120 : 25 = 180 : n
n = Rs. 37. 50

4. : (1)
For the publisher to earn a profit of 25%, S.P. = 125% of C.P.
Also Transportation Cost = 10% of C.P
Let the S.P. of 5500 books be Rs. x.
Then, 10 : 125 = 82500 : x.
x = Rs. [(125 x 82500) x 10]= Rs. 1031250
S.P. of one book = Rs. (1031250/ 5500)= Rs. 187.50

5. : (4)
Printing Cost of book = 20% of C.P.
Royalty on book = 15% of C.P.
Difference = (20% of C.P.) - (15% of C.P) = 5% of C.P.
Percentage difference = [ (Difference/Printing) * 100%
= [ ( 5% of C.P./Printing Cost ) x 100%]
= 25%

Data Interpretation Quiz

Directions (1-5): Study the following diagrams carefully and answer the given questions.
Polio cases reported from various states during the given years.
Total Polio Cases in India

1. In which state the difference between polio cases in 2002 and 2003 is 11,

and which had zero incidence in 2001?
(1) W.B.
(2) Delhi
(3) M.P.
(4) Haryana
(5) Bihar

2. What is the difference between the average number of polio cases of the five given states in 2002 and that in 2003?
(1) 35
(2) 37
(3) 38
(4) 39
(5) None of these

3. Approximately what per cent of polio-

cases was reported in Bihar in 2002 with respect to total cases reported in India that year?
(1) 6%
(2) 6.5%
(3) 7%
(4) 7.5%
(5) None of these

4. Polio cases in Haryana in 2003 and Bihar in 2001 together is what per cent of the polio cases in Delhi in 2002?
(1) 120%
(2) 80%
(3) 125%
(4) 75%
(5) None of these

5. Find the ratio between the total no. of cases in the five given states to that in the rest of country in 2001.
(1) 9 : 67
(2) 2 : 29
(3) 29 : 4
(4) 9 : 58
(5) None of these

Directions (6-10):

Following line graph shows the ratio of import and export of two companies -

Aand B over the years 2004-2009. Answer the questions based on this graph.

6. If the import of Company A is Rs 48 lakhs in year 2007 then what is its export in that year?
(1) 40 lakhs
(2) 57.6 lakhs
(3) 42 lakhs
(4) 54 lakhs
(5) None of these

7. What is the ratio of number of years in which Company A’s export is less than import and the number of years in which Company B’s import less than export?
(1) 4 : 1
(2) 1 : 3
(3) 5 : 6
(4) 3 : 2
(5) None of these

8. If the export of Company A in 2006 and export of Company B in 2007 is 75 lakhs each,

then the import of Company A in 2006 is what percent of the import of Company B in 2007?
(1) 75%
(2) 80%
(3) 100%
(4) 120%
(5) 150%

9. If the import of Company B is 60 lakhs in 2008, then what is the export of Company A in the same year?
(1) 30 lakhs
(2) 45 lakhs
(3) 60 lakhs
(4) 90 lakhs
(5) None of these

10. What is the ratio of the ratio of import to export of Company B in year 2004 and the ratio of export to import of Company A in year 2007?
(1) 2 : 3
(2) 3 : 2
(3) 5 : 6
(4) 4 : 5
(5) 24 : 25

ANSWERS

1. 3; MP A slight look is sufficient to answer this question.

2. 2; Reqd difference

= ((37-3) + (39-28) + (121-13) + (21-10)+(24-3))/5

= 185/5 = 37

3. 4; Total P cases in Bihar (2002) = 121

Total P cases in India (2002) = 1600

Reqd answer = 121/1600 × 100 = 7.5% (approx)

4. 3; Reqd percentage = (3+27)/24 × 100 = 125%

5. 4; Total P cases in India (2001) = 268

Total P cases in the given states (2001) = 36

Hence, reqd. ratio = 36/(268 - 36) = 36/232 = 9 : 58.

6. 1; i/e = 1.2

e = i/1.2 = 48/1.2 = 40

7. 2; For A, in years 2007 and 2009, import > export

For B, in all six years, import < export

Ratio = 2/6 = 1/3 = 1:3

8. 2; For A, in 2006, i/e = 0.64

Income = 0.64 × 75 = 48

For B, in 2007, i/e = 0.8

i = 0.8 × 75 = 60

% = 48/60 × 100 = 80%

9. 5; Data is not sufficient.

10. 5; In 2004, i_B / e_B = 0.8 = 4/5

In 2007, i_A / e_A = 1.2 = 6/5

e_A / i_{A = 5/6}

Ratio between them = (4/5)/(5/6) = 24:25

Data Interpretation Quiz

SBI PO 2015 - Data Interpretation Quiz

Directions: ( 1 – 5) : The following pie chart represents the break-up of Raju’s monthly Expenses.

1. If Raju spent Rs 4500 more on food and transport together than he spent on rent, then Find his monthly expenses.

(1) Rs. 20 ,000

(2) Rs. 15,000

(3) Rs. 30,000

(4) Rs. 40,000

(5) Rs. 35,000

2. If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%,
then his savings would be what percentage of his expenses?

(1) 15%

(2) 25%

(3) 30%

(4) 10%

(5) None of These

3. Raju spent 20% of his expenditure on ‘others’ on entertainment. This amounted to Rs 2100. Find his expenditure on education.

(1) 4,500

(2) 5,000

(3) 7,000

(4) 6,500

(5) None of these

4. Find the angle made by the expenditure on rent and ‘others’ put together.

(1) 150⁰

(2) 160⁰

(3) 180⁰

(4) 200⁰

(5) None of these

5. As prices dropped, Raju’s expenditure on clothes dropped by 10%. As a result of this, his expenditure on ‘others’ decreased from Rs 10,500 to Rs 10,290.
What percentage of his expenditure on ‘others’ was spent on clothes?

(1) 12%

(2) 30%

(3) 16%

(4) 20%

(5) None of these

Direction(6 – 10) :Study the following line graph which gives the number of students who joined and left the school in the beginning of the year for six years from 1996 to 2001.

Initial strength of the school in 1995 was 3000. Answer questions based on the line graph given below.

6. The strength of the school increased from 1997 to 1998 by what percent ?

(1) 1.7 % (2) 1.8 %

(3) 1.9 % (4) 2 %

(5) None of these

7. The number of students studying in the school during 1999 was :

(1) 3100 (2) 3000

(3) 3150 (4) 3250

(5) None of these

8. During which of the following pairs of years, the strength of the school was same ?

(1) 1997 and 1998

(3) 1998 and 2000

(3) 1999 and 2001

(4) 1996 and 2000

(5) None of these

9. The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001 ?

(1) 90.75 % (2) 91.75%

(3) 92.75% (4) 93.75%

10. Among the given years the largest number of students joined in which year ?

(1) 1999 (2) 2000

(3) 2001 (4) 1998

(5) None of these

Answers With Solutions :

1. Percentage of his expenditure spent on rent =15%
Percentage of his expenditure spent on transport and food =30%

⇒ 30%−15%=15% = Rs 4500

Monthly expenses:

= 100% = ( 100/15) X 4500

= Rs. 30,000

2. Let his monthly income be Rs x.

Original savings = Rs. ( 10/100)x

New Savings = ( 10/100)x + 20/100(10x/100)

= Rs. ( 12/100)x

Original expenditure = x – (10/100)x

= Rs. ( 90/100)x

New expenditure :

= (90/100)x – (20/100) ( 90x/100)

= Rs. ( 72/100)x

Required percentage :

[(12x/100)/(72x/100)] x 100

= 16.66%

3. Expenditure on entertainment:
=20%of(35% of others)=7% of the total expenses
⇒ 2100=7% of total expenses

Also education accounts for 20% of the total expenses.

⇒ Expenditure on education:

= 20% of the total= Rs [ 2100 x ( 20/7)]

= Rs. 6,000

4. Total expenditure on rent and others:
=15%+35%
=50%

Required angle = ( 50/100) x 360⁰

= 180⁰

5. Decrease in expenditure on ‘others’:
=10,500−10,290= Rs 210
⇒ initial expenditure on clothes:

= 210 (100/10)

= Rs. 2100

ð Required percentage:

= ( 2100/10,500) x 100

= 20%

Directions ( 6-10):

6. (1)

Explanation: Let analyse the graph before answering question.
Number of students in 1995 = 3000 [given]
Number of students in 1996 = 3000-250+350 = 3100
Number of students in 1997 = 3100-450+300 = 2950
Number of students in 1998 = 2950-400+450 = 3000
Number of students in 1999 = 3000-350+500 = 3150
Number of students in 2000 = 3150-450+400 = 3100
Number of students in 2001 = 3100-450+550 = 3200
Above analysis will help us solving problems for this line graph.
Lets be back on question now,
Percentage increase in strength of the school from 1997 to 1998 will be,
= ((3000−2950)/2950∗100)%=1.69%

So this is approx equal to 1.7%

7. (3)

8. (4)

Explanation: Number of students in 1995 = 3000 [given]
Number of students in 1996 = 3000-250+350 = 3100
Number of students in 1997 = 3100-450+300 = 2950
Number of students in 1998 = 2950-400+450 = 3000
Number of students in 1999 = 3000-350+500 = 3150
Number of students in 2000 = 3150-450+400 = 3100
Number of students in 2001 = 3100-450+550 = 3200
From from above options we find in 1996 and 2000 number of students was same i.e. 3100

9. (4)

Required Percentage =(3000/3200∗100)%=93.75%

10. (3)

Explanation: Clearly from the line graph we can judge it was in year 2001.

KRISHNA MOHAN

Pages

Monday, 24 July 2017

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