Quant Quiz

Quant Quiz

Directions (1-5): Study the following graph carefully and answer the questions given below:

1. What is the average number of income of all the companies together?

(1) 550

(2) 640

(3) 870

(4) 960

(5) None of these

2. Which company had the highest percentage of expenditure with respect to the income?

(1) B

(2) C

(3) D

(4) A

(5) None of these

3. What is the sum of average number of expenditure and average number of income of all the companies together?

(1) 620

(2) 765

(3) 990

(4) 850

(5) None of these

4. The total expenditure of the companies A, B and C together is approximately what percent of the total income of companies C, D & E together?

(1) 56

(2) 59

(3) 61

(4) 62

(5) None of these

5. What is the ratio of the total income of the companies D and E together to the total sales of all the companies together?

(1) 21 : 35

(2) 23 : 33

(3) 19 : 21

(4) 27 : 31

(5) None of these

Directions (6-10): Each of the questions below consists of a question and two statements numbered I and II given below it. 

You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer-

(1) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

(2) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

(3) If either of the data in statement I alone or in statement II alone are sufficient to answer the question.

(4) If the data in both statements I and II together are not sufficient to answer the question.

(5) If the data in both the statement I and II together are necessary to answer the question. 

6. What is the value of a two-digit number?

I. The product of the digits is 56 and the difference between the digits is 1.

II. The digit at the unit’s place is greater than the other.

7. What is the speed of the train?

I. The train covers a distance of 215 km in 5 hours.

II. The train covers a distance of 370 km in 8 hours.

8. What is Manoj’s age?

I.  Manoj is five times younger than Rohan.

II. Kishan is thrice the age of Rohan.

9. What is the ratio of the total number of clerks to the total number of officers in a bank?

I.  There are 4500 employees in the bank, out of which 40% are officers.

II. The ratio of the total number of officers to the total number of clerks last year was 6 : 7.

10. What is a number?

I. 55% of that number is three-fifth of that number.

II. One-fourth of that number is more by 35 from one-third of that number.

1. (5): (900 + 700 + 300 + 650 + 550)/5 = 3300/5 → Avg. = 660

2. (4): a =600 /900 →66%

3. (5): Avg. of Exp. = (600 + 300 + 150 + 450 + 350)/5 → Avg. = 370

Avg. of income = (900 + 700 + 300 + 850 + 550)/5 → Avg. = 660

Total sum = 370 + 660 → 1030

4. (4): Total exp. Of A + B + C = 600 + 300 + 150 →1050

Total income of C + D + E = 300 + 850 + 550 →1700

∴ (1050/1700)x100 →61.76→62 approx.

5. (5): D + A income = 850 + 550 → 1400 

Total expenditure =(1400/1850) →28 : 37

6. (5): Both the statements are needed.

7. (3): Either of the statements is sufficient.

8. (4): both the statements A & B together are not sufficient to answer.

9. (1): Only statement I is sufficient but II is not sufficient.

10. (2): Only IInd is sufficient but I is not sufficient.

Data interpretation

Data interpretation : Quiz

The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.
             Ratio of Value of Imports to Exports by a Company Over the Years.

1.If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was ?
A. Rs. 250 crores      
B. Rs. 300 crores        
C. Rs. 357 crores      
D. Rs. 420 crores
E. Rs. 450 crores

2. The imports were minimum proportionate to the exports of the company in the year ?
A. 1995                    
B. 1996                    
C. 1997                    
D. 2000
E. 1998

3. What was the percentage increase in imports from 1997 to 1998 ?
A. 72                      
B. 56                        
C. 28              
D. Data Inadequate
E. 30

4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?
 A. Rs. 370 crores    
B. Rs. 320 crores      
C. Rs. 280 crores  
D. Rs. 275 crores
E. Rs. 300 crores

5. In how many of the given years were the exports more than the imports ?
A. 1                      
B. 2                    
C. 3                    
D. 4
E. 5

Study the following line graph and answer the questions based on it.
Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)

6. What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001 ?
A. 50000        
B. 42000          
C. 33000            
D. 21000
E. 31000

7. What is the difference between the total productions of the two Companies in the given years ?
A. 19000        
B. 22000        
C. 26000            
D. 28000
E. 25000

8. What is the average numbers of vehicles manufactured by Company X over the given period ? (rounded off to nearest integer)
A. 119333      
B. 113666      
C. 112778            
D. 111223
E. 111446

9. In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?
A. 1997          
B. 1998          
C. 1999            
D. 2000
E. 2002

10. The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year ?
A. 173            
B. 164          
C. 132            
D. 97
E. 99

Answers 

1. D

 The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.Let the exports in the year 1998 = Rs. x crores.

Then, the exports in the year 1999 = Rs. (500 - x) crores.

1.25 = 250/x 

x = 250/1.25 = 200        [ Using ratio for 1998 ]

Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.

Let the imports in the year 1999 = Rs. y crores.

Then, 40 = y/300 

y = (300 * 1.40) = 420

Imports in the year 1999 = Rs. 420 crores.

2. C

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.

Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

3. D

 The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from-

 1997 to 1998, we require more details such as the value of imports or exports during these years.

Hence, the data is inadequate to answer this question.

4. B

 Ratio of imports to exports in the year 1996 = 0.85.

 Let the exports in 1996 = Rs. x crores.

Then , 272/x = 0.85 

x = 272/0.85 = 320                   

Exports in 1996 = Rs. 320 crores.

5.  D

The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.

Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.

Thus, there are four such years.

6.  D

 Required difference = (128000 - 107000) = 21000.

7.  C

 From the line-graph it is clear that the productions of Company X in the   years 1997, 1998, 1999, 2000, 2001 and 2002 are-

 119000, 99000, 141000, 78000, 120000 and 159000 and those of Company Y are 139000, 120000,100000, 128000, 107000 -

and 148000 respectively.Total production of Company X from 1997 to 2002

= 119000 + 99000 + 141000 + 78000 + 120000 + 159000

= 716000.

and total production of Company Y from 1997 to 2002

= 139000 + 120000 + 100000 + 128000 + 107000 + 148000

= 742000.

Difference = (742000 - 716000) = 26000.

8. A

  Average number of vehicles manufactured by Company X

= 119333.

9. D

The difference between the productions of Companies X and Y in various years are:

For 1997 (139000 - 119000)  = 20000.

For 1998 (120000 - 99000)  = 21000.

For 1999 (141000 - 100000)  = 41000.

For 2000 (128000 - 78000) = 50000.

For 2001 (120000 - 107000) = 13000.

For 2002 (159000 - 148000) = 11000.

Clearly, maximum difference was in 2000.

10.   B

 Explanation  - Required percentage=  128/78 * 100 = 164%  = 164%

Data Interpretation Quiz

Data Interpretation Quiz

Directions (1-5): Study the following table carefully and answer the questions that follow. A few data are assigned alphabetically:

(Sales of shirts and jeans sold by Co. X in various years, Rs. Crores)

Year	Shirt (X)	Jeans (Y)	y/x
2000	56	70	1.25
2001	60	A	1.2
2002	B	160	C
2003	100	140	D
2004	E	160	1.33
2005	200	F	G

1. The per cent increase in the shirts’ sale between years2002 and 2004 is:

(1) 40% 

(2) 50% 

(3) 45%

(4) 60% 

(5) can’t say

2. The per cent increase in the jeans’ sale between 2001 and 2005 is:

(1) 75% 

(2) 37.5%

(3) 375% 

(4) 750%

(5) Can’t be determined

3. If G = 1.5, what per cent is sales of jeans in 2005 of sales of jeans in 2002?

(1) 150 

(2) 175 

(3) 187.5

(4) 160 

(5) 190.5

4. If C : D = 1 : 2 then 7B = ?

(1) 1500

(2) 1250

(3) 1600

(4) 1800

(5) None of these

5. The value of A : E is:

(1) 0.6 

(2) 0.8 

(3) 1.0

(4) 1.2 

(5) 1.5

Directions (76 – 80): Study the following graph carefully to answer these questions :

A cosmetic company provides five different products. The sales of these five products 

(in thousand number of packs) during 2006 and 2011 are shown in the following bar graph.

6. The sales of lipsticks in 2011 was by what percent more than the sales of nail enamels in 2011? 

(rounded off to nearest integer)

(1) 33%

(2) 31%

(3) 28%

(4) 22%

(5) 19%

7. During the period 2006-2011, the minimum rate of increase in sales is in the case of?

(1) Shampoos

(2) Nail enamels   

(3) Talcum powders

(4) Lipsticks

(5) Conditioners

8. What is the approximate ratio of the sales of nail enamels in 2011 to the sales of Talcum -

powders in 2006?

(1) 7:2

(2) 5:2

(3) 4:3

(4) 2:1

(5) 3:2

9. The sales have increased by nearly 55% from 2006 to 2011 in the case of?

(1) Lipsticks

(2) Nail enamels 

(3) Talcum powders

(4) Shampoos

(5) Conditioners

10. The sales of conditioners in 2006 was by what percent less than the sales of shampoos in 2006?

 (rounded off to nearest integer).

(1) 57%

(2) 36%

(3) 29%

(4) 25%

(5) 43%

ANSWERS
1. (5)
Since B cannot be found from given data.

2. (5)
Since F cannot be found from given data.

3. (3)
F/200 = 1.5
F = 300
Required percentage =  = 187.5

4. (3)
C/D =1/2
C = 0.7
160/B = 0.7
B = 1600/7
7B = 1600

5. (1)
A/E = 72/120 = 0.6

Data interpretation

Data interpretation : Quiz

Study the following bar chart and answer the questions carefully.

Sales Turnover of 5 Companies (in Rs. crores)

1. What is the percentage change in the overall sales turnover of the five companies together between 2001 - 2002 and 2002 - 2003 ?

A. 17.21 %

B. 14.68 %

C. 12.67 %

D. 21.24 %

E. 20.25 %

2. What is the absolute change in overall sales turnover of the five companies together between 

2001 - 2002 and 2002 - 2003 ?

A. 712.43

B. 142.48

C. 683.53

D. 522.78

E. None of these

3. Which of the companies shows the maximum percentage difference in sales turnover between the two years ?

A. Honda

B. GM

C. Hyundai

D. Maruti

E. Hindustan Motors

4. What should have been the sales turnover of GM in 2002 - 2003 to have shown an excess of the same quantum over -

2001 - 2002 as shown by the sales turnover of Maruti ?

A. 953.76

B. 963.76

C. 952.76

D. 962.76

E. 786.78

5.What is the approximate difference between the average sales turnover of --

all the companies put together between the years 2001 - 2002 and 2002 - 2003 ?

A. 133.45

B. 142.48

C. 117.6

D. 201.9

E. None of these

The circle-graph given here shows the spendings of a country on various sports during a particular year. 

Study the graph carefully and answer the questions given below it.

6. What percent of total spending is spent on Tennis?

A. 25/2%

B. 25%

C. 45%

D. 45/2%

E. 40%

7.How much percent more is spent on Hockey than that on Golf?

A. 27%

B. 35%

C. 37.5%

D. 75%

E. 70%

8.If the total amount spent on sports during the year be Rs. 1,80,00,000 ,

 the amount spent on Basketball exceeds on Tennis by:

A. Rs. 2,50,000

B. Rs. 3,60,000

C. Rs. 3,75,000

D. Rs. 4,10,000

E. Rs. 5,00,000

9.How much percent less is spent on Football than that on Cricket?

A. 22%

B. 27%

C. 100/3%

D. 40%

E. 30%

10. If the total amount spent on sports during the year was Rs. 2 crores, 

the amount spent on Cricket and Hockey together was:

A. Rs. 8,00,000

B. Rs. 80,00,000

C. Rs. 1,20,00,000

D. Rs. 1,60,00,000

E. Rs. 1,50,00,000

Answers

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

Data interpretation

QUIZ : Data interpretation

The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes in a town.

Distribution of students at graduate and post-graduate levels in seven institutes:

 

1. What is the total number of graduate and post-graduate level students is institute R?
 A.  8320

 B.  7916
 C.  9116
 D.  8099

2.What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?
 A. 14 : 19
 B. 19 : 21
 C. 17 : 21
 D. 19 : 14

3. How many students of institutes of M and S are studying at graduate level?   

 A.7516
 B. 8463
 C. 9127
 D. 9404
 

4.What is the ratio between the number of students studying at post-graduate level from institutes S and the number of students studying at graduate level from institute Q?
 A.13 : 19
 B. 21 : 13
 C. 13 : 8
 D. 19 : 13

5.Total number of students studying at post-graduate level from institutes N and P is
    A. 5601
    B. 5944
    C.  6669
    D.  8372

 The following bar chart shows the trends of foreign direct investments(FDI) into India from all over the world.

 

6.What was the ratio of investment in 1997 over the investment in 1992 ?
  A. 5.50
  B. 5.36
  C. 5.64
  D.5.75

7.What was absolute difference in the FDI to India in between 1996 and 1997 ?
 A. 7.29
 B. 7.13
 C. 8.13
 D. None of these

8.  If India FDI from OPEC countries was proportionately the same in 1992 and 1997 as the total FDI from all over--

 the world and if the FDI in 1992 from the--

 OPEC countries was Euro 2 million. What was the amount of FDI from the OPEC countries in 1997 ?

A. 11

B. 10.72

C. 11.28

D. 11.5

9.Which year exhibited the highest growth in FDI in India over the period shown ?
 A. 1993
 B.  1994
 C.  1995
  D. 1996

10..What was India's total FDI for the period shown in the figure ?
 A. 93.82
 B. 93.22
 C. 93.19
 D. None of these

Answers  with solution
 1. (D)

2.(D) Required ratio =     (21% of 24700)/(14% of 27300) = (21 x 24700)/ 14 x 27300)= 19/14

3.(B)

4.(D)

5. (C)

6.(A) The 1997 figure of investment as a factor of 1992 investment = (31.36/5.70) = 5.50

7.(B)

8.(A) Let x be the FDI in 1997.

Then: (2/5.7) = (x/31.36)

x = (2/5.7) *31.36

x = 11   

9. (D)

10. (A)
               

Data interpretation

Quantitative Aptitude Quiz - Data Interpretation

Direction (1-5) : Production of two categories of  chemicals by factory A is given, Answer the question based on given data.

1.  The ratio of the number of organic chemicals for which the production has fallen to the number of inorganic chemicals for which production has fallen is :

(1)  6 : 5                                         

(2)  3 : 2                               

(3)  2 : 3                                               

(4)  1 :1                                         

(5) None of these

2.    Of all the chemicals shown, the highest percentage increase in production has been exhibited for :

(a) Fatty acids                          

(b) Ethylene glycol         

(3) Aniline          

(4) Sodium bicarbonate        

(5) None of these

3. The difference between production sum of production of ethylene glycol, pthalic anhydride and phenol in 2002-03 and Calcium carbide, 

sodium bicarbonate and Aluminium chloride in 2003-04 is  

(1) 336527                             

(2) 335667                             

(3) 326547                                                

(4) 345887                                            

(5) None of these

4. The percentage change in total production of chemicals between the two years is closest to :

(1) 5.4%

(2) 6.9% 

(3) 7.2%

(4) 4.5%

(5) None of these

5. Which among the following has least change in production as compared to previous year :

(1) Bleaching powder       

(2) Aluminium chloride    

(3) Calcium carbonate

(4) Calcium carbide          

(5) None of these

Direction(6-10) : State wise Literacy and Population growth:

6.       Which of the following states shows a higher Percentage increase in female literacy than the percentage increase in total literacy?

(i) Maharashtra                       

(ii) Himachal Pradesh                

(iii) Kerala

(iv) Karnataka

(1). (i) Only                               

(2).  (i),(ii)&(iv)             

(3).  (i) and (iii)

(4). All of the above               

(5).  None of the above

7.       For the state showing the minimum percentage increase in total literacy, the numerical ratio of the percentage    

increase in total literacy to the change in percentage population growth rate is nearly (take absolute values only)

(1). 508.5                    

(2). 558.5                            

(3). 598.5

(4). 578.5                    

(5) .None of these

8.       How many states has more increase in female literacy as compared to the average of percentage increase in female literacy in all the years together:

        (1) 5                              

        (2) 3                      

        (3) 7

 (4) 4                              

 (5) 6     

9.       The ratio of the overall simple average of the percentage increase in female literacy to the simple average percentage -

increase in female literacy of those states where the percentage increase is more than the overall average is:

(1) 0.972                    

(2) 0.818             

(3) 0.89

(4) 0.146                     

(5) None of these

10.       The ratio of the simple overall average of the percentage increase in female literacy to the simple overall average of the percentage increase in total literacy is approx equal to :

(1) 0.894                     

(2) 0.968            

(3) 1.033

        (4) 0.788                             

        (5) None of these 

ANSWERS

1.        (3)  4:6=2:3

2.        (2)  Ethylene glycol,     454371-327387=126984,   (126984/327387)×100=38.78%

3.        (1) 

4.        (2)  2910353(2003-04)-2728101(2002-03)=182252,    182252/2728101=6.9%

5.        (4)  Calcium Carbide, 83445-83388=57

6.      (3) ; Maharashtra and Kerala

7.      (2) ; Bihar, 22.34/0.04=558.5

8.      (1) ;

9.      (c) ; 26.496/29.436=0.89 approx

10.  (b); 26.496(average of increase in female literacy average)/27.372(average of increase in total literacy)=0.968