Digital Root Method for Percentage Questions

1.)  50% of 450 + x = 300

a) 52             b) 75              c) 42           d) 56          e) None
Now According to Digital Root Method
(5+0) of (4+5+0) + x = 3+0+0
5 of 9 + x = 3
45 + x = 3
9 + x = 3
Now Choose the value of x B/w 1 to 9 such that LHS = RHS
If we Put X value as 3 then LHS = RHS
So DIgital Root Of equation is = 3

now Apply Digital Root to Options
A) 52 = 5+2 = 7
B) 75 = 7+5 = 12 = 3 (Only This will match with above digital root)
c) 42 = 4+2 = 6
d) 56 = 5+6 = 11 = 2

2)  125% of 320 + x% of 125 = 440
a) 32    b) 51          c) 60        d) 30   e) None 

By Digital Root Method
(1+2+5) of (3+2+0) + x of 1+2+5 = 4+4+0
8 of 5 + x of 8 = 8
40 + 8x = 8
4 + 8x = 8
8x = 8-4
8x = 4
now Choose the X value b/w 1 to 9 such that LHS = RHS
so, x= 5 
8*5 = 4
40 = 4
4 = 4
SO, Value is 5


Soon We will update different Questions on Digital Root Method

DI Set - 13

Directions (Q.6-10): Read the following table is pie chart carefully and answer the questions given below it.

Distribution of employees of a company in different department: 

 

Total number of employees = 800

Table shows the portion of female employees and portion of employees whose age is under 25 years 

Q6. The number of males in technical department are 180, then find the number of employees whose age is under 25 in same department?

(a) 100

(b) 50

(c) 75

(d) 25

(e) 125

Q7. What is the Ratio of number of male employees from marketing department to number of employees under 25 age from content team?

(a) 5 : 9

(b) 7 : 8

(c) 2 : 9

(d) 9 : 5

(e) Data insufficient

Q8. What percent of employees in content team are male?

(a) 10 %

(b) 20 %

(c) 25 %

(d) 40 % 

(e) 15 %

Q9. If in Administrator department, there are no employee under 25, then by what percent number of employee under 25 in marketing are more than number of employee under 25 in technical?

(a) 100%

(b) 96%

(c) 104%

(d) 124%

(e) None of these

Q10. If in marketing department, 25% of males are under 25 age then what is the ratio of number of males who are above 25 to the number of females who are under 25 age?

(a) 3 : 2

(b) 2 : 3

(c) 1 : 3

(d) 1 : 2

(e) None of these

Number series set - 02

Click Here

DI Set - 11

Directions (1-5): Study the table to answer the given questions.

Percentage of people (male and female) who watch the TV Series out of the total population of the city
City	Total population of the city	Big Bang Theory		Arrow		Breaking Bad		Mentalist
		Male	Female	Male	Female	Male	Female	Male	Female
P	40000	12	14	22	18	18	20	12	10
Q	20000	10	20	20	16	14	10	15	30
R	50000	18	12	10	22	16	12	16	22
S	30000	16	20	10	20	12	30	18	12
T	50000	22	30	12	14	20	12	15	20

Q1. What is the difference between the total number of people living in City R, Q and T together who do not watch Arrow and the total number of people living in these three cities together who watch Arrow?

(a) 47200

(b) 45300

(c) 47400

(d) 47600

(e) 45600

Q2. What is the average number of males who watch Big Bang Theory in all the cities together?

(a) 6320

(b) 6380

(c) 6340

(d) 6350

(e) 6360

Q3. The ratio of the total number of males to the total number of females in City P is 5:3. What percent of the female population watches Breaking Bad in City P?

(a) 55 1/3

(b) 55 2/3

(c) 58 1/3

(d) 53 1/3

(e) 53 2/3

Q4. The total population (males and females) of City R watching Mentalist is what percent more than the total population (male and female) of City T watching the same TV Series?

(a) 83/7 %

(b) 85/7 %

(c) 84/7 %

(d) 73/7 %

(e) 74/7 %

Q5. What is the ratio of the number of females who watch Breaking Bad in City Q and City S together to the number of females who watch Mentalist in the same cities together?

(a) 59 : 47

(b) 55 : 48

(c) 59 : 42

(d) 55 : 43

(e) 59 : 45

Directions (6-10): Study the following Tables carefully and answer the questions given below.

Mumbai
Type	Colour
	Black	Red	Blue	White	Silver
A	40	25	55	75	15
B	20	35	60	80	20
C	35	30	50	90	35
D	45	40	45	85	40
E	50	35	35	60	30
F	55	42	40	65	52

Delhi
Type	Colour
	Black	Red	Blue	White	Silver
A	45	32	40	60	20
B	30	37	39	81	35
C	40	42	41	6	37
D	35	39	37	90	42
E	50	44	43	77	22
F	47	34	45	87	17

Q6. The difference between the white-coloured cars sold in the two metros of which of the following models is the minimum?

(a) A

(b) C

(c) D

(d) F

(e) None of these

Q7. The total number of blue-coloured cars of Model E and D sold in Delhi is exactly equal to the number of white-coloured cars of which model in Mumbai?

(a) B

(b) F

(c) C

(d) A

(e) None of these

Q8. What is the difference between the number of blue-colour cars of model ‘C’ sold in Mumbai and number of red colour cars of model ‘F’ sold in Delhi?

(a) 1600

(b) 10000

(c) 12000

(d) 15000

(e) None of these

Q9. The total number of silver-coloured cars sold in Delhi is approximately what percentage of that in Mumbai?

(a) 130

(b) 140

(c) 90

(d) 100

(e) 110

Q10. In Mumbai the number of cars sold was maximum for which of the colour-model combinations?

(a) White-C

(b) Blue-B

(c) Silver-B

(d) White-D

(e) None of these

Directions (11-15): Study the following Table and answer the following questions carefully.

Following Table shows the percentage population of six States below poverty line and the proportion of male and female.

State	Percentage population below poverty line	Proportion of male and female
		Below poverty line M : F	Above poverty line M : F
A	12	3:2	4:3
B	15	5:7	3:4
C	25	4:5	2:3
D	26	1:2	5:6
E	10	6:5	3:2
F	32	2:3	4:5

Q11. The total population of state A is 3000, then what is the approximate number of females above poverty line in state A?

(a) 1130

(b) 2112

(c) 1800

(d) 1950

(e) 2025

Q12. If the total population of C and D together is 18000, then what is the total no. of females below poverty line in the above stated states?

(a) 5000

(b) 5500

(c) 4800

(d) Data inadequate

(e) None of these

Q13. If the population of males below poverty line in State A is 3000 and that in State E is 6000, then what is the ratio of the total population of State A and E?

(a) 3:4

(b) 4:5

(c) 1:2

(d) 2:3

(e) None of these

Q14. If the population of males below poverty line in State B is 500 then what is the total population of that state?

(a) 14400

(b) 6000

(c) 8000

(d) 7600

(e) None of these

Q15. If in State E population of females above poverty line is 19800 then what is the population of males below poverty line in that State?

(a) 5500

(b) 3000

(c) 2970

(d) Data inadequate

(e) None of these

DI set - 10

Directions (Q. 1 - 5): Following bar chart shows the production of cellular phones by six different companies during the year 2012 and 2013, and the table shows the percentage sale of these companies.

 

Q1. What is the percentage rise in production of company L. G from year 2012 to 2013?

(a) 30% 

(b) 35% 

(c) 40% 

(d) 45% 

(e) 50%

Q2. How many phones Micromax sold in year 2013?

(a) 71348 

(b) 72576 

(c) 73428 

(d) 74124 

(e) 75308

Q3. What is the total number of phone sold by KARBON in year 2012 and 2013 together?

(a) 91740 

(b) 92800 

(c) 93540 

(d) 94600 

(e) 95200

Q4. In the following companies which company shows maximum percentage rise/fall in production from year 2012 to 2013?

(a) MICROMAX 

(b) L. G. 

(c) SONY 

(d) NOKIA 

(e) SAMSUNG

Q5. What is the difference between total sale Samsung of  in 2012 and total sale of Nokia in 2013?

(a) 4200 

(b) 4400 

(c) 4600 

(d) 4800 

(e) 5100

Directions (6-10): Study the following graph carefully to answer the given questions. 

Number of the flat booked in HIG, MIG and LIG categories from different cities in 2004.  

Q6. If for Aurangabad the number of HIG flats booked in 2005 was more than that in 2004 by 15%, the number of MIG flats booked in 2005 was more than that in 2004 by 10% and the number of LIG flats booked in 2005 was more than that in 2004 by 20% then what was the total number of flats booked in Aurangabad in 2005? 

(a) 1565 

(b) 1521

(c) 1625

(d) 1642

(e) 1544 

Q7. Out of the LIG flats booked from Chandigarh, 35% were by employees of Financial Institution and out of the remaining flats, those booked by officers from a software company and HRM department of Government of India were in the ratio of 6 : 7. What was the total number of LIG flats booked by officers from the software company? 

(a) 130

(b) 120

(c) 160

(d) 140

(e) 150 

Q8.  The total number of MIG flats booked in Mangalore, Baroda and Nagpur is by what per cent more than the total number of LIG flats booked from these three cities together? (Rounded off to the nearest integer)

(a) 37

(b) 35

(c) 39

(d) 32

(e) 34 

Q9. What is the difference between the total number of MIG flats booked in Allahabad, Mangalore, Nagpur and Aurangabad together and the total number of LIG flats booked in these four cities together?    

(a) 420

(b) 480

(c) 460

(d) 360

(e) 260

 

Q10. What is the ratio of the total number of flats (all three types) booked in Allahabad to that in Baroda?  

(a) 54:49

(b) 51:46

(c) 54:47

(d) 58:49

(e) 55:48 

Directions (11-15): Study the following graph carefully and answer the questions given below:

Percentage net profit of two companies over the years 

Q11. If the total income in 1992 for company B was 140 crores, what was the total expenditure in that year?  

(a) 100 Crores 

(b) 110 Crores 

(c) 98 Crores 

(d) Data inadequate 

(e) None of these 

Q12. If the total expenditure of 1993 and 1994 together of Company B was Rs. 279 crore, what was the total income in these years? 

(a) Rs. 12.15 Crores 

(b) Rs. 135 Crores 

(c) Rs. 140 Crores

(d) Data inadequate 

(e) None of these 

Q13. In how many of the given years the percentage of expenditure to the income of Company A was less than fifty? 

(a) One 

(b) Two 

(c) Three 

(d) Four 

(e) None of these 

Q14. If the total expenditure of company B in 1994 was Rs. 200 crore, what was the total income? 

(a) Rs. 160 Crores

(b) Rs. 280 Crores 

(c) Rs. 260 Crores 

(d) Data inadequate 

(e) None of these 

Q15. In which of the following years was the total income more than double the total expenditure in that year for Company B? 

(a) 1995

(b) 1993

(c) 1997 

(d) 1992

(e) None of these