Direction: information given below and answer the question that follow.
The result of an exam is given below. Out of 1000 students who appeared
(i) 658 failed in Physics
(ii) 166 failed in Physics and Chemistry
(iii) 372 failed in Chemistry, 434 failed in Physics and Maths
(iv) 590 failed in Maths, 126 failed in Maths & Chemistry
Find the number of people who failed in (assuming that none is passed in all subjects.

We have the following equations:
a+ b + c + d + e + f + g = 1000
a + b + d + e = 658, b + d = 166
b + d + c + f = 372
d + e = 434 as in the figure.
d + e + f + g = 590, d + f = 126. Find the values

For the next four question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25

For the next four : question that follow :
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25

For the next four : question that follow :
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
(x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25

For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25

For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25

For the next four : question that follow:
In a city, three daily newspapers A, B, C are published, 42% read A; 51% read B; 68% read C; 30% read A and B; 28% read B and C; 36% read A and C; 8% do not read any of the three newspapers.

Let x% people read all the three newspapers.
Since 8% people do not read any newspapers.
 (x – 24) + (x – 7) + (x + 4) + (30 – x) + (36 – x) + (28 – x) + x = 92
→ x + 98 – 31 = 92
→ x = 92 – 67 = 25

Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.

Where C = Coffee, T = Tea and L =Lassi

Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.

Where C = Coffee, T = Tea and L =Lassi

Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.

Where C = Coffee, T = Tea and L =Lassi

Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.

Where C = Coffee, T = Tea and L =Lassi

Read the passage below and solve the question based on it.
5% of the passengers do not like coffee, tea and lassi and 10% like all the three, 20% like coffee and tea, 25% like lassi and coffee and 25% like lassi and tea. 55% like coffee, 50% like tea, and 50% like lassi.

Where C = Coffee, T = Tea and L =Lassi

In the adjoining figure, I and II are circles with ceners P and Q respectively. The two circle touch each other and have a common tangent that touches them  at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4 : 3. It is also known that the length of PO is 28 cm.

A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if ?

A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if ?

A committee of five members is to be formed out of 5 Males, 6 Females and 3 Children. In how many different ways can it be done if ?

An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.

An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.

An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles.

There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y  is less than g. In bag B, number of yellow colored balls is   more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 

There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y  is less than g. In bag B, number of yellow colored balls is   more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 

There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y  is less than g. In bag B, number of yellow colored balls is   more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 

There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y  is less than g. In bag B, number of yellow colored balls is   more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 

There are three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black. In bag A, no. of Yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is The value of y  is less than g. In bag B, number of yellow colored balls is   more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is . Total number of balls in bag B is 75.
In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 

Crude oil Price (in RS) per given below :
Crude oil Price (in RS) per metric tonne

Production of a company (in lakh units) over the given years

Percentage of marks obtained by six students in six subjects is –
 

Faculty
Institution	Arts	Commerce	Science	Engineering	Management
A	125	187	216	98	74
B	96	152	198	157	147
C	144	235	110	164	127
D	165	138	245	66	36
E	215	196	287	86	66
F	184	212	195	112	97
G	225	206	182	138	89

 

Number of students studying in different faculties in seven institutions.
 

Faculty
Institution	Arts	Commerce	Science	Engineering	Management
A	125	187	216	98	74
B	96	152	198	157	147
C	144	235	110	164	127
D	165	138	245	66	36
E	215	196	287	86	66
F	184	212	195	112	97
G	225	206	182	138	89

Production of two companies A & B over the years (Production in lakh units).

Centrewise and Postwise number of candidates

Post Specialist Center	Officer	Clerk	Filed Officer	Supervisor	Specialist Officer
Bangalore	2000	5000	50	2050	750
Delhi	15000	17000	160	11000	750
Mumbai	17000	19500	70	7000	900
Hyderabad	3500	20000	300	9000	1150
Kolkata	14900	17650	70	1300	1200
Lucknow	11360	15300	30	1500	650
Chennai	9000	11000	95	1650	500

 A factory was opened in 1994 with certain initial strengths in different untis as shown in the table. At the beginning of the subsequent years some of the workers left and some new workers were deployed. No worker left or joined in between. Details are given in the table given below. Study it carefully and answer the questions that follow.

UNIT
Year	A		B		C		D			E
1994	156		132		98		76		125
(Initial Strength)	L	J	L	J	L	J	L	J	L	J
1995	12	15	23	32	12	36	6	26	11	13
1996	17	18	16	14	8	19	17	28	11	15
1997	9	20	12	12	17	14	9	16	19	16
1998	32	40	14	17	23	35	12	23	23	14
1999	22	35	11	15	18	25	14	24	32	38
2000	26	32	17	21	13	18	11	19	21	36

Percentage of students passed over appeared from six States over the years in an admission test.

State/Year	A	B	C	D	E	F
1996	32	35	37	41	39	29
1997	45	26	29	37	43	37
1998	28	38	22	27	36	42
1999	36	42	38	38	29	45
2000	40	34	26	26	35	30
2001	24	29	33	33	41	36
2002	35	43	40	38	39	28

Number of bales of wool processed by 5 woollen mills
 

Name Of Company
Month	Polar	Shephered	Kiwi	Warmwear	Comfy
Jan	900	850	350	1000	850
Feb	800	700	1050	1100	850
March	1050	800	1000	1100	950
April	800	850	850	1100	850
May	950	900	1050	1150	850
Total	4500	4100	4900	5450	4350

Study the following graph carefully and answer the question given below 

In  6 educational years, number of studeunts taking admission and leaving from the 5 different schools which are founded in 1990 are given below.

School	A		B		C		D		E
	AD	L	AD	L	AD	L	AD	L	AD	L
1990	1025	-	950	-	1100	-	1500	-	1450	-
1991	230	120	350	150	320	130	340	150	250	125
1992	190	110	225	115	300	150	300	160	280	130
1993	245	100	185	110	260	125	295	120	310	120
1994	280	150	200	90	240	140	320	125	340	110
1995	250	130	240	120	310	180	360	140	325	115

In th above table shown Ad = Admitted, L = Left 

Percentage profit earned by two companies over the given years.

Percentage of malnourished children in Chile over the years

Year	Tested Number (in thousand)	Percentage of the malnoarished
1984	998	Law	Moderate	High
1985	1015	12.5	2.9	0.7
1985	1048	12.1	2.7	0.7
1986	1071	11.9	2.5	0.5
1987	1048	10.8	1.8	0.3
1990	1023	10.4	1.6	0.2
1991	1048	10.0	1.4	0.1
1992	1.63	8.70	1.1	0.1
1993	1161	7.80	0.9	0.1

Production of paper (in lakh tonnes) by 3 different  companies A, B and C over the years 

Production (in lakh tonnes) of six companies over the given years 
 

	1995	1996	1997	1998	1999	2000
A	465	396	524	630	408	650
B	372	482	536	480	512	580
C	694	528	492	575	550	495
D	576	602	387	426	632	518
E	498	551	412	518	647	610
F	507	635	605	600	485	525

Study the following table carefully to answer these question
 

Distribution of marks obtained by 160 students in each of the three subjects-Hindi,English and Maths - out of 100
Sub/Marks	0-19	20-39	40-59	60-79	80-100
Hindi	12	31	79	30	8
English	21	30	65	42	2
Maths	31	22	34	45	28
Average of three subjects	24	28	68	35	5

Number of cars (In thousands) of different Models and Colours sold in two Metro cities in a year

Type	Metro M					Metro H
	Colour					Colour
	Black	Red	Blue	White	Silver	Black	Red	Blue	White	Silver
A	40	25	55	75	15	45	32	40	60	20
B	20	35	60	80	20	30	37	39	81	35
C	35	30	50	90	35	40	42	41	6	37
D	45	40	45	85	40	35	39	37	90	42
E	50	35	35	60	30	50	44	43	77	22
F	55	42	40	65	52	47	34	45	87	17

Marks (out of 50) obtained by five students P, Q, R, S and T in five subjects in five periodical examination of each subject.
 

	Subjects
Sub	P					Q					R
						Periodicals
	I	II	III	IV	V	I	II	III	IV	V	I	II	III	IV	V
Maths	40	30	45	20	35	30	20	35	45	40	30	35	40	45	40
Sc.	30	40	25	30	20	25	45	30	37	28	48	46	31	40	80
His.	35	25	15	30	40	33	27	40	34	26	35	45	40	30	35
Geo.	45	47	32	39	37	42	43	30	40	25	25	35	48	37	25
Eng	24	28	36	39	43	30	28	37	34	31	26	28	31	30	40

 

	Subjects
Sub	S					T
						Periodicals
	I	II	III	IV	V	I	II	III	IV	V
Maths	25	35	40	45	30	29	31	39	41	40
Sc.	31	34	38	27	30	44	36	40	30	40
His.	34	40	36	42	48	37	43	35	45	40
Geo.	39	37	44	40	30	38	39	33	40	40
Eng	31	34	35	45	40	30	30	35	45	40

The percentage of five different types of cars produced by the company during two years is given below.

Study the following table to answer the given question.
 

Number of students of different classes of a school playing different games.
Class -> Games	XII	XI	X	IX	VIII	VII	VI
Chess	11	12	5	4	2	2	2
Criket	38	40	12	17	25	18	20
Basket Ball	11	9	7	6	0	0	0
Table Tennis	9	9	21	19	12	16	14
Football	40	27	18	19	12	16	14
Caroom	16	15	8	19	12	16	14
Tennis	8	9	11	5	6	0	0
Badminton	47	39	33	21	19	0	0