Quant Quiz- Data Interpretation (Line Graph)

Quant Quiz- Data Interpretation (Line Graph)

Question(1-5) :-

Two different finance companies declare fixed annual rate of interest on the amounts investewith them by investors. 

The rate of interest offered by these companies may differ from yearto year depending on the variation in the economy of the country and the banks rate ofinterest. 

The annual rate of interest offered by the two Companies P and Q over the years isshown by the line graph provided below.

Annual Rate of Interest Offered by Two Finance Companies Over the Years.

1.A sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for one year. How much more interest would have been earned if the sum was invested in Company P?

A.Rs 19,000 

B.Rs.14, 250

C.Rs.11, 750 

D.Rs. 9,500

E.None of these

2.If two different amounts in the ratio 8:9 are invested in Companies P and Q respectively in 2002, then the amounts received after one year as interests from Companies -

P and Q are respectively in the ratio?

A.2:3 

B. 3:4

C.6:7 

D.4:3

E.None of these

3.In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. 

What was the amount invested in Company P?

A. Rs.9 lakh

B. Rs.11 lakh

C.Rs. 12 lakh 

D.Rs.18 lakh

E.None of these

4.An investor invested a sum of Rs. 12 lakhs in Company P in 1998. The total amount received after one year was re-invested in the same Company for one more year.

 The totalappreciation received by the investor on his investment was?

A. Rs. 2, 96,200 

B. Rs. 2, 42,200

C. Rs. 2, 25,600 

D. Rs. 2, 16,000

E. None of these

5.An investor invested Rs. 5 lakhs in Company Q in 1996. After one year, the entire amount along with the interest was transferred as investment to Company -

P in 1997 for one year. What amount will be received from Company P, by the investor?

A. Rs. 5, 94,550

B. Rs. 5, 80,425

C. Rs. 5, 77,800 

D. Rs. 5, 77,500

E. None of these

Question(6-10) :-

Study the following line graph and answer the questions.

Exports from Three Companies over the Years (in Rs. crore)

6.For which of the following pairs of years the total exports from the three Companies together are equal?

A. 1995 and 1998 

B. 1996 and 1998

C. 1997 and 1998 

D. 1995 and 1996

E. None of these

7.Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?

A. 87.12 % 

B. 89.64 %

C.91.21 % 

D. 93.33 %

E. None of these

8.In which year was the difference between the exports from Companies X and Y the

minimum?

A. 1994 

B. 1995

C. 1996 

D. 1997

E. None of these

9. What was the difference between the average exports of the three Companies in 1993 andthe average exports in 1998?

A. Rs. 15.33 crores 

B. Rs. 18.67 crores

C. Rs. 20 crores 

D. Rs. 22.17 crores

E. None of these

10. In how many of the given years, were the exports from Company Z more than the averageannual exports over the given years?

A. 2 

B. 3

C. 4 

D. 5

E. None of these

Answers:-


1.(D)
DIFFERENCE = Rs. [(10% of 4.75) - (8% of 4.75)]
= Rs. (2% of 4.75) lakhs
= Rs. 0.095 lakhs
= Rs. 9500.

2.(D)
Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9xrespectively.
Then, interest received after one year from Company P= Rs. (6% of 8x)
=Rs.48x/100
and interest received after one year from Company Q= Rs. (4% of 9x)
=Rs.36x/100
Required ratio =(48x/100)/(36x/100)=4/3

3.(D)
Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in
2000 = Rs. (30 - x) lakhs.
Total interest received from the two Companies after 1 year
= Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs
= Rs. {2.7 -(1.5x/100)}lakhs.
2.7 -1.5x/100= 2.43
 x = 18.

4.(C)
Amount received from Company P after one year (i.e., in 199) on investing Rs. 12 lakhs in it
= Rs. [12 + (8% of 12)] lakhs
= Rs. 12.96 lakhs.
Appreciation received on investment during the period of two years
= Rs. (14.256 - 12) lakhs
= Rs. 2.256 lakhs = Rs. 2, 25,600.

5.(B)
Amount received from Company Q after one year on investment of Rs. 5 lakhs in the year1996
= Rs. [5 + (6.5% of 5)] lakhs
= Rs. 5.325 lakhs.
Amount received from Company P after one year on investment of Rs. 5.325 lakhs in theyear 1997
= Rs. [5.325 + (9% of 5.325)] lakhs
= Rs. 5.80425 lakhs
= Rs. 5, 80, 425.

6.(D)
Total exports of the three Companies X, Y and Z together, during various years are:
In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.
In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.
In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.
In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.
In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.
In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.
In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.
Clearly, the total exports of the three Companies X, Y and Z together are same during theyears 1995 and 1996.

7. (D)
1. The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.
2. The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.
3. The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively.
Average annual exports (in Rs. crore) of Company Y during the given period
=(1/7)* (80 + 40 + 60 + 60 + 80 + 100 + 140) =560/7= 80.

Average annual exports (in Rs. crore) of Company Z during the given period
=1/7* (60 + 90 + 120 + 90 + 60 + 80 + 100) =600/7
Required percentage {80/(600/7) x 100}= % 93.33%.

8.(C)
The difference between the exports from the Companies X and Y during the various years are:
In 1993 = Rs. (80 - 30) crores = Rs. 50 crores.
In 1994 = Rs. (60 - 40) crores = Rs. 20 crores.
In 1995 = Rs. (60 - 40) crores = Rs. 20 crores.
In 1996 = Rs. (70 - 60) crores = Rs. 10 crores.
In 1997 = Rs. (100 - 80) crores = Rs. 20 crores.
In 1998 = Rs. (100 - 50) crores = Rs. 50 crores.
In 1999 = Rs. (140 - 120) crores = Rs. 20 crores.
Clearly, the difference is minimum in the year 1996.

9.(C)
Average exports of the three Companies X, Y and Z in 1993
= Rs. (1/3) *(30 + 80 + 60) crores = Rs. 170/3 crores
Average exports of the three Companies X, Y and Z in 1998
= Rs.(1/3)*(50 + 100 + 80) crores = Rs.230/3 crores.
Difference = Rs.60/3  crores
= Rs. 20 crores.

10.(C)
Average annual exports of Company Z during the given period
=(1/7)* (60 + 90 + 120 + 90 + 60 + 80 + 100)
= Rs.
(600/7)crores
= Rs. 85.71 crores.
From the analysis of graph the exports of Company Z are more than the average annualexports of Company Z (i.e., Rs. 85.71 crores) -

during the years 1994, 1995, 1996 and 1999,i.e., during 4 of the given years.

Quant Quiz-DATA INTERPRETATION (Language based D.I.)

Quant Quiz-DATA INTERPRETATION (Language based D.I.)

Directions (Q. Nos. 1-7) Study the following information carefully to answer the questions.

In a medical college there are 1600 students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. 

45% of the students study Dentistry and remaining students study Homeopathy. Out of the students studying Dentistry, 

boys and girls are in the ratio of 5:3 respectively.Out of the boys studying Dentistry, 16% know English, 10% know only Hindi and 4% know only Bangla. 

24% know English as well as Hindi. 20% know English as well as Bangla. 14% know Hindi as well as Bangla. Remaining boys know all three languages. 

Out of the girls studying Dentistry, 20% know only English, 10% know only Hindi and 10% know only Bangla . 20% know English as well as Hindi. 

20% know English as well as Bangla. 10% know Hindi as well as Bangla . Remaining girls know-all three languages. 

Out of the students studying Homeopathy boys and girls are in the ratio of 4  : 7 respectively. Out of the boys studying Homeopathy, 20% know only English, 15% know only Hindi and 5% know only Bangla. 

15% know English as well as Hindi. 25% know English as well as Bangla. 10% know Hindi as well as Bangla. Remaining boys know all three languages.

 Out of the girls studying Homeopathy, 15% know only English, 15% know only Hindi and 5% know only Bangla. 20% know English as well as Hindi. 20% know English as well as Bangla. 

15% know Hindi as well as Bangla. Remaining girls know all three languages.

1.How many students studying Dentistry know only either English or Hindi?

(1) 166

(2) 162

(3) 308

(4) 198

(5) 248

2.Total how many students in the college know all three languages? 

(1)108

(2)132

(3)169

(4)137

(5)142

3.What percent of the total number of girls in the college know Bangla? 

(1) 45

(2) 40

(3) 48

(4) 42

(5) 50

4.How many students studying Homeopathy, do not know English?

(1) 292

(2) 232

(3) 228

(4) 298

(5) 207

5.Out of the students studying Homeopathy, what is the ratio between number of boys knowing English and the number of girls knowing Hindi respectively?

(1) 3 : 5

(2) 2 : 3

(3) 9 : 11

(4) 9 : 13

(5) 1 : 3

6.Out of the total number of students studying Dentistry, what percent knows at least two languages?

(1) 6112/13 

(2) 5713/16 

(3) 5913/17

(4) 661/4 

(5) 6212/19

7.What percent of the total number of girls in the college do not know Hindi? (rounded off to nearest integer)

(1) 38

(2) 46

(3) 48

(4) 36

(5) 43

Directions—(8-12) Study the information carefully to answer the questions that follow—

A school consisting of a total of 3120 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz. 

Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. 

Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in only Singing and Dancing classes together. 

The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. 

The respective ratio of boys enrolled in only Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. 

Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in only Dancing and Painting classes together. 

The remaining girls are enrolled in all the three classes together. The number of boys enrolled in only Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. 

The remaining boys are enrolled in only Painting classes.

8.Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school ?

(1) 22   

(2) 38  

(3) 64  

(4) 28  

(5) 26

9. What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same ?

(1) 77 : 26   

(2) 21 : 73 

(3) 26 : 77  

(4) 73 : 21  

(5) None of these

10. Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (Rounded off to two digits after decimal)

(1) 38•67  

(2) 35•71 

(3) 41•83 

(4) 28•62  

(5) None of these

11. What is the total number of boys who are enrolled in Dancing ?

(1) 636   

(2) 728  

(3) 584   

(4) 868  

(5) None of these

12. What is the total number of students enrolled in all the three classes together ?

(1) 150   

(2) 125  

(3) 140   

(4) 160  

(5) None of these

Answers :-


Ans.(1-7)

1.(4)
 Required number of students = 72 + 45+ 54 + 27 = 198

2.(3) 
Required number of students = 54 + 27 + 32 + 56= 169

3.(5) 
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%

4.(1)
 Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292

5.(2) 
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3

6. (4)
Required ratio = (108+90+63+54+54+54+27+27)/720x 100% = 661/4 %

7.(5) 
43%

Ans.(8-12)

8. (5)
Required percentage = (364 + 312 + 130)/3120 * 100 = 26

9. (3) 
Required ratio = 260 : 770 = 26 : 77

10. (2) 
Required percentage = 130/364 * 100 = 35.71

11. (4)
Total number of boys who are enrolled in Dancing = 364 + 156 + 140 + 208 = 868

12. (5) 
Total number of students enrolled in all the three classes together = 130 + 140 = 270

Data interpretation

Data interpretation : Quiz

Study the following pie-chart and the table and answer the questions based on them.
                           Proportion of Population of Seven Villages in 1997

Village	% Population Below Poverty Line
X	38
Y	52
Z	42
R	51
S	49
T	46
V	58

 1. If the population of village R in 1997 is 32000, then what will be the population of village Y below poverty line in that year?

A. 14100
B. 15600
C. 16500
D. 17000
E.  None of these

2. The ratio of population of village T below poverty line to that of village Z below poverty line in 1997 is:
A. 11 : 23
B. 13 : 11
C. 23 : 11
D. 11 : 13
E.  None of these

3. Find the population of village S if the population of village X below poverty line in 1997 is 12160.
A. 18500
B. 20500
C. 22000
D. 26000
E.    25000

4. If in 1998, the population of villages Y and V increase by 10% each and the percentage of population below poverty line remains unchanged for all the villages, 

then find the population of village V below poverty line in 1998, given that the population of village Y in 1997 was 30000.
A. 11250
B. 12760
C. 13140
D. 13780
E.  14560

Q (5-10) The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.
                              Subscriptions Generated for India Bonds

5. In the corporate sector, approximately how many degrees should be there in the central angle ?
A. 120
B. 121
C. 122
D. 123
E.   135

6. If the investment by NRI's are Rs 4,000 crore, then the investments by corporate houses and FII's together is:
A. 24,000 crore
B. 24,363 crore
C. 25,423 crore
D. 25,643 crore
E.  26,678 crore

7. What percentage of the total investment is coming from FII's and NRI's ?
A. 33 %
B. 11 %
C. 44 %
D. 22 %
E. 29%

8. If the total investment other than by FII and corporate houses is Rs 335,000 crore, then the investment by NRI's and Offshore funds will be (approximately) ?
A. 274,100
B. 285,600
C. 293,000
D. 267,000
E.  Cannot be determined

9. If the total investment flows from FII's were to be doubled in the next year and the investment flows from all other sources had remained constant-

 at their existing levels for this year, then what would be the proportion of FII investment in the total investment into India Bonds next year (in US $ millions) ?
A. 40 %
B. 50 %
C. 60 %
D. 70 %
E.  78%

10. What is the approximate ratio of investment flows into India Bonds from NRI's to corporate houses ?
A. 1:4
B. 1:3
C. 3:1
D. 4:7
E. Cannot be determined

Answers 
1.B

2.C
Let X be the total population of all the 7 villages.
Then, population of village T below poverty line = 46% of (21% of X)
population of village Z below poverty line = 42% of (11% of X)
required ration = 46%of (21% of X)/42% of (11%of x) =23/11

3.C

4.B

5.C
34*3.6 =122.4(since 1 % =3.6 degrees)

6.B
(67/11)*4000 = 24363.6364

7.C

8.A
9.B
10.B
11:34 is approximately equal to 1:3

Data interpretation

Data interpretation : Quiz

Use the information provided in the two pie charts provided below. The total contribution to the GDP by the seven sectors mentioned in the pie charts-

 in the year 1999 was Rs.289640 crores and Rs.317000 crores in the year 2000.

1. Which of the industrial  sectors witnessed the maximum rate of growth during the period 1999-2000
a. Petroleum  
b. Software & IT
c. Ad & media      
d. Cement
e. Defence

2. Which of the industrial sectors witnessed a negative growth during the period 1999-2000?
a. Auto          
b. Defense      
c. Steel        
d. Petroleum
e. Cement

3. What was the rate of growth witnessed by the Software & IT sector during this period?
a. 1%  
b. 12%  
c. 33%  
d. 22%
e. 25%

4. What was the rate of growth witnessed by the Petroleum sector during this period?
a. 1.1%      
b. 12%      
c.7.5
d. -8
e. 14%

5. What was the rate of growth shown by the non-petroleum sectors between 1999-2000?
a. –4%        
b. 4%        
c. 7%        
d.12%
e. 13%

Directions (6-10): The pie charts above show the percentage of students in each faculty at North West University and the number of non-US students in the Arts faculty. 

These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts faculty. Use this information to answer the following questions.

6. What percentage of students in the Arts faculty are non-US students?
a. 14%          
b. 9%            
c. 30%        
d. 11%
e. 10%

7. How many students are there in the Engineering faculty?
a. 420    
b. 410      
c. 390        
d. 440  
e. 450

8. How many students are there at the university?
a.  4650        
b. 4560      
c. 4640      
d. 4450  
e. 4350

9. If six percent of Science students are Asian. How many Asian students are there studying Science?
a. 48
b. 66
c. 120
d. 57
e. 59

10. There are 34 European medical students. What percentage of the faculty does this represent?
a. 14%          
b. 18%        
c. 12%        
d. 15%
e. 17%

Answers 
1.B
2. C
3. D
4. B
5. C
6. D
7. B
8. B
9.D
10.D

New Pattern English

Directions (1-15): In each question, the word at the top is used in four different ways, numbered a-d. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.

Q1. Rake

(a) She’s raking in thousands a day.

(b) It’s the only shop in the area and they’re raking it in.

(c) The rake is coming in any moment.

(d) Tim keeps raking off the rows we had last year.

(e) None of these 

Q2. Mark

(a) His dedication marked him up for great things.

(b) I marked off the items on the list as I finished purchasing them.

(c) They marked out the pitch.

(d) Her speed marks her out from the rest of the group.

(e) None of these

Q3. Roll

(a) They rolled in very drunk at three o’clock in the morning.

(b) The government want to roll back the freedom of the press.

(c) The army rolled by when they came under attack.

(d) Roll on Friday! It’s been a dreadful week.

(e) None of these

Q4. Mess

(a) The children were messing about with the TV remote control and broke it.

(b) They messed with the discussions and the contract fell through.

(c) She’s been messing with it for hours and it still doesn’t work.

(d) They messed up the kitchen.

(e) None of these

Q5. Rush

(a) They rushed away when the police arrived.

(b) Zain rushed out to get to his medical appointment.

(c) They don’t want to be rushed into giving an answer and have asked for more time.

(d) They rushed out to catch the first rain of the season.

(e) None of these

Q6. Fasten

(a) Fasten your seatbelts.

(b) We fastened it down to keep the wind from blowing it away.

(c) They have fastened up the speech as a source of inspiration.

(d) He fastened the latch of the door.

(e) None of these

Q7. Wave

(a) They waved at us when they passed by.

(b) Don’t wave at people you don’t know.

(c) We waved her down at the station.

(d) The accident was bad, but the police waved us on.

(e) None of these

Q8. Leap

(a) The tiger leapt at the deer.

(b) A leap of faith is what it takes.

(c) Look before you leap.

(d) He leaped out the chance to visit America.

(e) None of these

Q9. Act

(a) The police were acting on a tip from an informer and caught the gang red-handed.

(b) The enzyme acts upon certain proteins.

(c) My computer’s acting out I think I might have a virus.

(d) They acted out the story on stage.

(e) None of these

Q10. Finish

(a) They finished off all the chocolates and had to go to the all-night store to buy some more.

(b) We went out for dinner and finished out in a club.

(c) We attended some workshops and finished the project.

(d) She finished with him a few months ago.

(e) None of these

Q11. Turn

(a) She turned up an hour late.

(b) Please turn up the music; it’s too loud.

(c) Turn off the lights please before you leave.

(d) Hundreds of fans were turned away from the football stadium.

(e) None of these

Q12. Ask

(a) My mother is always asking after you.

(b) I’ll ask around and see if anyone has seen your cat.

(c) Let’s ask to the teacher our question.

(d) John has asked Mary out several times.

(e) None of these

Q13. Put

(a) Could you put off the light please?

(b) The meeting was put off because of the strike.

(c) Please don’t put yourself out for us.

(d) We put you up if you’d like to come for the week-end.

(e) None of these

Q14. Get

(a) Some people manage to get up early.

(b) It’s time to get down to some serious work!

(c) Be quiet and get on with your homework.

(d) Charlie had the ‘flu but he got rid with it.

(e) None of these

Q15. Pick

(a) Children are quick to pick up a new language.

(b) Can you pick me out at the station?

(c) Will you help me pick out a handbag to go with my outfit?

(d) The other children were always picking on Charlie because of his red hair.

(e) None of these

Solutions

S1. Ans.(d)

Sol. Option (d) is the answer, ‘Rake off’ means to cheat someone, here the sentence explains that Tim keeps talking about the rows the speaker had last year, here the phrase should be ‘raking over’ which means to talk, think, etc, about something negative in the past. “Tim keeps raking over the rows we had last year”.

S2. Ans.(a)

Sol. The phrase ‘mark up’ means to increase the price or number of something, Option (a) is the answer, the intended meaning of the sentence here is that his dedication shall lead him to reach great heights so here the phrase to be used should be ‘mark out’ which means to show promise for the future. “His dedication marked him out for great things.”

S3. Ans.(c)

Sol. Option (c) is the answer, as to ‘roll by’ means to pass and it does not fit in here as it is very clear from the sentence that the army moved back when they were attacked. So, the correct phrase which should be used here is “The army rolled back when they came under attack”. Here ‘roll back’ means retreat or to move back.

S4. Ans.(b)

Sol. Option (b) is the answer as the intended meaning of the sentence is that because the discussion was spoiled and it didn’t work the contract was dropped off. So, the correct phrase which should be used here is ‘messed up’ which means to spoil or ruin. “They messed up the discussions and the contract fell through”.

S5. Ans.(b)

Sol. Option (b) is the answer. The intended meaning of the sentence is that Zain went in hurry to get his medical appointment. The correct phrase which should be used here is ‘Rush off’ which means to depart in hurry.

S6. Ans.(c)

Sol. Option (c) is the answer. The sentence here intends to explain that the people have taken the speech as a source of inspiration but the phrase used here is incorrect.

S7. Ans.(c)

Sol. Option (c) is the answer. Here the intended meaning of the sentence is that we waved to her to say goodbye.

S8. Ans.(d)

Sol. Option (d) is the answer. The intended meaning of the sentence seems to be that the person willingly wanted an opportunity to visit America.

S9. Ans.(c)

Sol. Option (c) is the answer, the correct sentence should be “My computer’s acting up I think I might have a virus”. Here acting up refers to behave badly or strangely.

S10. Ans.(b)

Sol. Option (b) is the answer. The intended meaning is ‘they end up in a club’.

S11. Ans.(b)

Sol. Option (b) is the answer as to turn up means to raise the volume while it is used in the sentence where the intended meaning is to lower the volume as it is too loud.

S12. Ans.(c)

Sol. The sentence is used in correct form with some grammatical errors. While others are correct in every respect. The correct form of option (c) should be:- Let’s ask the teacher our question.

S13. Ans.(a)

Sol. To put off means to postpone or arrange a later date while speaker is asking the person to turn off or switch off the lights. Hence correct choice is option (a).

S14. Ans.(d)

Sol. To get rid of means to eliminate.

S15. Ans.(b)

Sol. To pick out means to choose or to select. The correct sentence is: Can you pick me up at the station?