Out of a total of 120 musicians in a club , 5% can play all the three instruments- Guitar, violin and Flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30.The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?
Number of people who can play all 3 = 120 * 5/100 = 6 Number of people who can play 2 and only 2 instrument = 30 Number of people who can play Guitar alone = 40 The total number of those who can play violin alone or flute alone = 120 - ( 6 + 30 + 40) = 44
Q. No. :
2
Question :
If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100(both inclusive) varies by
6 can appear either at unit place or at decimal place. No of numbers in which 6 appear in unit place = 10 (6,16,26,.... , 96) No of numbers in which 6 appear in decimal place = 10 (60,61,62,.... , 69) if 6 is replace by 9. Then 3 will be added due to each unit place number an 30 will be added due to each decimal place number. So total addition = 3 * 10 + 30 *10 = 330
Q. No. :
3
Question :
A
secret can be told only 2 persons in 5 minutes .the same person tells
to 2 more persons and so on . How long will take to tell it to 768
persons ?
A :
47.5 minutes
B :
50 minutes
C :
48 minutes
D :
49 minutes
Answer: A
Q. No. :
4
Question :
A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus for every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey , The number of buses that the car encounter is ?
Speed of car = 20 kmph Distance between A and B= 100km Time taken to reach from B to A by car = 100/20 = 5 hrs Speed of bus = 25 hmph Time taken to reach from A to B by bus = 100/25 = 4 hrs So car starting at 12:00 noon will reach A at 5:00 PM Now the bus starting at 8:00AM will reach B at 12:00 noon So total number of buses encounter are the buses which starts between 8:00AM and 5:00PM Total number of such buses = 17 (Starting from 8:30AM to 4:30 PM)
Q. No. :
5
Question :
Argentina had football team of 22 player of which captain is from Brazilian team and goalki from European team. For remaining player they have picked 6 from Argentinean and 14 from European. Now for a team of 11 they must have goalki and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out number of methods available for it.
A :
150500
B :
140400
C :
130300
D :
160600
Answer: D
Q. No. :
6
Question :
There are three departments having students 64,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments. Find the minimum number rooms required ?
2 is the greatest common divisor (GCD) of the three (64,58,24).
so divide each number by 2, and add together.
64/2 + 58/2 + 24/2 = 73
Q. No. :
7
Question :
In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group , none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?
A :
21
B :
22
C :
23
D :
24
Answer: C
Q. No. :
8
Question :
There are 600 tennis players 4% wear wrist band on one wrist Of the remaining, 25% wear wrist bands on both hands How many players don't wear a wrist band?
A :
256
B :
432
C :
464
D :
512
Answer: B
Q. No. :
9
Question :
A group of friends goes for dinner and gets bill of Rs 2400 . Two of them says that they have forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the number of person in that group?
Let number of persons be x. So, individual bill for each person = 2400/x Since 2 of them are not paying and rest person add 100 rs extra to their individual bill. So, (2400/x + 100) * (x-2) = 2400 or x= 8
Convert the given binary number.
Q. No. :
10
Question :
(100100101011)2 = (_?_)8
A :
4453
B :
4457
C :
4456
D :
4446
Answer: A
Q. No. :
11
Question :
(1010111110110010)2 = (_?_)16
A :
AFA2
B :
AFD2
C :
AFC2
D :
AFB2
Answer: D
Q. No. :
12
Question :
(11001010)2 = (_?_)10
A :
199
B :
202
C :
207
D :
206
Answer: B
Q. No. :
13
Question :
(1010111110110010)2 = (_?_)8
A :
127664
B :
127662
C :
127562
D :
127563
Answer: B
Q. No. :
14
Question :
(10011101)2 = (_?_)10
A :
154
B :
155
C :
156
D :
157
Answer: D
Q. No. :
15
Question :
In town of 500 people, 285 read Hindu and 212 read Indian express and 127 read Times of India. 20 read only Hindu and times of India and 29 read only hindu and Indian express and 35 read only times of India and Indian express. 50 read no news paper. Then how many read all three papers?
Total = 500 - 50 Total(450) = Only one paper(x) + 29+20+35 + All three pares (y) or, x + y = 366 .......... (i) 285+212+127 = x + 2( 29+20+35 )+ 3y or, x + 3y = 456 .............(ii) (ii) - (i) 2y = 90 or, y = 45
Q. No. :
16
Question :
When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died?
Let the average age of the family 10 years ago be x So sum of ages of all 6 family members then = 6x Let age of father when he died be y Now, Sum of ages of all members = (6x + 60) - y According to question,[(6x + 60) - y]/6 = x or y = 60
Q. No. :
17
Question :
Out of forty students, there are 14 who are taking Physics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class?
A :
0.4
B :
0.5
C :
0.6
D :
0.7
Answer: C
Q. No. :
18
Question :
In a town 65% people watched the news on television , 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a news paper ?
A :
5
B :
10
C :
15
D :
20
Answer: D
Convert the given binary number.
Q. No. :
19
Question :
(11111011)2 =(_?_)8
A :
373
B :
363
C :
374
D :
364
Answer: A
Q. No. :
20
Question :
(11011110110010101101)2 = (_?_)16
A :
DEDAD
B :
EDCAD
C :
DECAD
D :
DEDBD
Answer: C
Q. No. :
21
Question :
(11010101)2 = (_?_)10
A :
215
B :
213
C :
216
D :
214
Answer: B
Q. No. :
22
Question :
(11100111)2 = (_?_)8
A :
349
B :
351
C :
352
D :
347
Answer: D
Q. No. :
23
Question :
(1100010101010010001)2 = (_?_)8
A :
1425227
B :
1425221
C :
1435222
D :
1425225
Answer: B
Q. No. :
24
Question :
A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min. he tells his father that his hat has
fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Tell the speed of river?
A :
6 miles/hr
B :
5 miles/hr
C :
5.5 miles/hr
D :
6.5 miles/hr
Answer: A
Q. No. :
25
Question :
Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively. How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg, given that the quantities of b and c are equal
Let quantity of a,b and c bought = x, y, y kg respectively Total cost = 95x + 100y + 70y = 95x + 170y Total quantity = x + 2y = 100 (Given) .........(i) Price per kg of mixture = (95x + 170y)/100 = 90 (Given) ........(ii) Solving (i) and (ii) x = 50y = 25
Mark(A):- If the question can be answered using 1 alone but not using 2 alone.
Mark(B):- If the question can be answered using 2 alone but not using 1 alone.
Mark(C):- If the question can be answered using either statement alone.
Mark(D):- If the question can be answered using 1and 2 together but not using 1 or 2 alone.
Q. No. :
26
Question :
P and Q worked on alternate days. In how many days was the work completed? 1. P started the work. 2. P can do the work in 20 days and Q in 30 days.
A :
A
B :
B
C :
C
D :
D
Answer: B
Q. No. :
27
Question :
How many brothers does B have? 1. B has twice as many sisters as he has brothers. 2. A, who is B's sister has the same number of brothers as she has sisters.
A :
A
B :
B
C :
C
D :
D
Answer: D
Q. No. :
28
Question :
Is ax> ay.1. x and y are the consecutive non-negative integers and a is negative integer.2. ay is even where as ax is odd.
A :
A
B :
B
C :
C
D :
D
Answer: D
Q. No. :
29
Question :
What is the time taken by the tip of the second's hand of a clock to travel a distance of 374cm? 1. The length of the second's hand is 7cm. 2. In 5 minutes, the tip of the second's hand can travel a distance of 220cm.
A :
A
B :
B
C :
C
D :
D
Answer: C
Q. No. :
30
Question :
Niranjana earns Rs 1000. Does his wife cook? 1. Niranjana's wife cooks, only if he saves more than Rs. 250. 2. Unless Niranjana fails to earn at least Rs. 1000 he spends at least 75% of his earnings.
A :
A
B :
B
C :
C
D :
D
Answer: D
Mark(A):- If question can be answered using one of the statements alone, but cannot be answered using the other statements alone.
Mark(B):- If question can be answered using either statements alone.
Mark(C):- If question can be answered using 1 and 2 together but not using 1 or 2 alone.
Mark(D):- If the question cannot be answered even using 1 and 2 together.
Q. No. :
31
Question :
What is the greatest number of pens that cam be purchased for 18x?1. 4 pens or 6 books or 12 pencils can be purchased for Rs. 36x2. If the cost of each pen is increased by Rs 3x, 5 less pens can be purchased for Rs. 180x.
Let the price of one pen is Rs Yx. Now problem is reduced to get value of Y. Using first statement: 4 pen can be purchased using Rs 36x Y=36/4=9; So we can calculate value of Y using first statement
Using second statement 180x/Yx - 180x/(Yx+3x)=5 180/Y - 180/(Y+3)=5 Y 2 +3Y-108=0 on solving Y=9 So we can also get value of Y using second statement
Therefore Option B is correct
Q. No. :
32
Question :
What is the time in the clock?1. When reflection of the clock is observed in the mirror, the time shown in the reflection is 7 hour 37 minutes.2. The two hands of the clock are together and they are between 4 and 5.
It is obvious that we can calculate time by statement 1. Now about 2nd statement In every hour only once minute and hour hands meets And here it is given that they meet between 4-5 So time must be between 4-5 And we can easily calculate at what time minute and hour hand meet between 4hrs-5hrs So we can also calculate time by using second statement
Q. No. :
33
Question :
On which day of the week does the 11th of August in a particular year 'X' falls?1. The year 'X' started with Sunday.2. The year 'X' ended with Sunday.
We can find speed of train using second statement alone Let V (in m/min )be the speed and L be length of train V=L/15 and V=(L+180)/25 On solving V=18 m/min and L=270m
Q. No. :
35
Question :
a,b and x are three distinct positive integers and x>1. What is the remainder when abis divided by x? 1. x is the average of a and b 2. x is one more than b and a is two more than b.
From 1: x = (a+b)/2 From 2: x = b + 1 and a = b+2 From statement 1 we can not find remainder of ab/x Using statement 2 We get (b+2)b /(b+1) If we expand the numerator using binomial theorem [1+(b+1)]b = 1 + bC1 (b+1) + bC2 (b+1)2 + bC3 (b+1)3 + ..... + bCb (b+1)b Denominator = (b+1) So remainder will be 1 only.
Each question is followed by two statements I and II. Indicate your response based on the following directives.
Mark (A):- If the question can be answered using A alone but not using B alone.
Mark (B):- If the question can be answered using B alone but not using A alone.
Mark (C):- If the question can be answered using either statement alone.
Mark (D):- If the question can be answered using A and B together but not using A or B alone.
Q. No. :
36
Question :
What is the area of square ABCD? I. The four vertices A,B,C, and D of the square lie on the circumference of a circle. II. The radius of the largest circle that can be inscribed in the square is 10 cm.
A :
A
B :
B
C :
C
D :
D
Answer: B
Q. No. :
37
Question :
A survey of 100 students revealed that 50% take tea and 50% take coffee. How many students take neither tea nor coffee. I. 24 students take both tea and coffee. II. Survey was done only on those who take tea or coffee.
A :
A
B :
B
C :
C
D :
D
Answer: C
Q. No. :
38
Question :
Amar went to the market to buy some oranges, guavas and mangoes. Each orange, guava and mango cost Rs 3, Rs 2, Rs 4 respectively. The total value of the three variety of fruits purchased by him was Rs 246. How many oranges did he purchase? I. He bought a total of 81 fruits. He did not buy more than 30 fruits of any variety. II. The number of guavas he bought is less than the each of the other two varieties of fruits. He did not buy less than 25 guavas. Number of mangoes he bought was 28.
A :
A
B :
B
C :
C
D :
D
Answer: B
Q. No. :
39
Question :
What is the interest received on Rs 8,000 in 2 year? I. If rate of simple interest increases by 1/3 of its initial value then interest received increases by Rs 600 for 2 years. II. If the rate of simple interest increases by 2/3 of its initial value then interest received is more by 2/3 of the previous interest.
A :
A
B :
B
C :
C
D :
D
Answer: A
Q. No. :
40
Question :
P,Q and R completes a work in 4 days and earn Rs. 870. What is the share of Q? I. Q alone can do the work in 15 days. II. P and Q together can do the work in 6 days, Q and R can do the work in 20/3 days.
A :
A
B :
B
C :
C
D :
D
Answer: C
Each questions is followed by two statements I and II. Indicate your responses based on the following directives.
Mark (A):- If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.
Mark (B):- If the question can be answered using either statements alone.
Mark (C):- If the question can be answered using I and II together but not using I or II alone.
Mark (D):- If the question cannot be answered even using I and II together.
5y-3x<3 .... (i) 2y-8x<-3.... (ii) (i) + (ii)/3 17/3y - 17/3x < 2 or, y-x < 6/17 So y-x > 3 is false Hence we can answer the question Is y-x > 3 from both of the equation. C is the answer
Q. No. :
42
Question :
How is A related to B? I. A's father's son's son is B II. B's paternal grandfather's only son's son is B.
From statement I We can conclude that either B is nephew or son of A. From statement II we can conclude that B has no uncle. So we can conclude that B is son of A using both the statement
Q. No. :
43
Question :
Find the rate of interest. I. The simple and compound interests accrued on a certain sun for 3 years are Rs 150 and Rs 182 respectively. II. The principal is Rs 250.
A :
A
B :
B
C :
C
D :
D
Answer: A
Q. No. :
44
Question :
Is city P near to city Q than city R? I. It takes 3 hours to travel from P to Q at x kmph and it takes 5 hours to travel from P to R at y kmph. II. y is more than 60% of x.
A :
A
B :
B
C :
C
D :
D
Answer: C
Q. No. :
45
Question :
What is the greatest number of pens that can be purchased for 18x? I. 4 pens or books or 12 pencils can be purchased for Rs 36x. II. If the cost of each pen is increased by 3x, 5 less pens can be purchased for Rs 180x.
A :
A
B :
B
C :
C
D :
D
Answer: B
In each questions below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Q. No. :
46
Question :
Statements: All bags are chalks.All chalks are bottles. Conclusions: I. Some bottles are bags. II.All bags are bottles III. All bottles are bags IV. Some chalks are not bags
A :
Only I , II and IV follow
B :
Only I , III and IV follow
C :
Only II, III and IV follow
D :
All follows
Answer: A
Q. No. :
47
Question :
Statements: Some trees are buses.All buses are hats Conclusions: I.Some trees are hats II.Some hats are trees III. All hats are buses IV. Some buses are hats
A :
None follows
B :
Only I, II and IV follow.
C :
Only II , III and IV follow.
D :
All follow
Answer: B
Convert the given binary numbers.
Q. No. :
48
Question :
(1110 0111)2 = ( )16
A :
E7
B :
DF
C :
D6
D :
D4
Answer: A
Q. No. :
49
Question :
(01011010)2=( )8
A :
137
B :
132
C :
543
D :
143
Answer: B
Q. No. :
50
Question :
(11110000)2= ( )10
A :
220
B :
230
C :
240
D :
250
Answer: C
Q. No. :
51
Question :
(11000101010000111)2=( )16
A :
18A87
B :
19A87
C :
20A87
D :
21A87
Answer: A
Q. No. :
52
Question :
(01001110)2 = ( )8
A :
112
B :
114
C :
118
D :
116
Answer: D
In each questions below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Q. No. :
53
Question :
Statements:-All green are blue.
All blue are white.
Conclusions:- I.Some blue are green. II. Some white are green III. Some green are not white IV. All white are blue.
A :
Only I and II follow
B :
Only I and III follow.
C :
Only I and IV follow
D :
Only II and IV follow
Answer: A
Q. No. :
54
Question :
Statements:- No parrot is crow.All crows are bats. Conclusions I. Some bats are parrots
II.All bats are parrots III. Some bats are crows IV.Some bats are not crows
let's convert the binary number 100110112 to decimal. List the powers of two from right to left. Start at 20,
evaluating it as "1". Increment the exponent by one for each power.
Stop when the amount of elements in the list is equal to the amount of
digits in the binary number. The example number, 10011011, has eight
digits, so the list, to eight elements, would look like this: 128, 64,
32, 16, 8, 4, 2, 1
So for ( 11010101)2=27*1+26*1+25*0+24*1+23*0+22*1+21*0+20*1 =213
Q. No. :
58
Question :
(11100111)2 = ( __ )8
A :
246
B :
347
C :
341
D :
379
Answer: B
Q. No. :
59
Question :
(1100010101010010001)2 = ( ___ )8
A :
1425221
B :
1325746
C :
4231653
D :
1311324
Answer: A
The five questions are based on the information given below:-
A joint project by the State and Central government is being undertaken in the state of TamilNadu. It is agreed that the representatives work in small committees of three, with two representatives of the Central government. It was also agreed that no committee be represented by members from the same department. The central government was represented by the following civil servants: J, who is Joint Secretary of Finance, K, who is the chairman of the Planning Commission, and L, who is Principal Secretary, Ministry of Education. The State
appointed the following: M, who heads the State Planning Commission, N, who is the Accountant General, O and P who are under secretaries in the Department of Finance.
Q. No. :
60
Question :
Which of the following represents a properly composed committee?
A :
K,L,N
B :
J,K,L
C :
J,K,M
D :
O,M,K
Answer: A
Q. No. :
61
Question :
Which of the following may serve with P?
A :
K and M
B :
M and L
C :
K and L
D :
J and K
Answer: C
Q. No. :
62
Question :
Which of the following must be true? I. If J cannot serve on a committee, then M cannot be assigned to that committee. II. If O does not serve on a committee, then J will be serving on that committee.
A :
I only
B :
II only
C :
I and II
D :
Neither I nor II
Answer: A
Q. No. :
63
Question :
If L is not available for service, which of the following must be on the committee?
A :
M and J
B :
N and J
C :
O and K
D :
None of these
Answer: B
Q. No. :
64
Question :
Which of the following must be true? I. N and O never serve on the same committee. II. When N serves in a committee, J will serve on the same committee
A :
Neither I nor II
B :
I and II
C :
II only
D :
I only
Answer: D
These questions are based on the following data
There is a cube in which one pair of opposite faces is painted red; the second pair of opposite faces is painted blue and the third pair of opposite faces is painted green. This cube is now cut into 216 smaller but identical cubes.
Q. No. :
65
Question :
How many small cubes are there with no red paint at all?
A :
121
B :
144
C :
169
D :
196
Answer: B
Q. No. :
66
Question :
How many small cubes are there with at least two different colours on their faces?
A :
49
B :
64
C :
56
D :
81
Answer: C
Q. No. :
67
Question :
How many small cubes are there without any face painted?
A :
64
B :
49
C :
36
D :
81
Answer: A
Q. No. :
68
Question :
How many small cubes are there with only red and green on their faces?
A :
9
B :
12
C :
16
D :
27
Answer: C
Q. No. :
69
Question :
How many small cubes are there showing only green or only blue on their faces?
A :
64
B :
81
C :
100
D :
125
Answer: A
Read the information given below carefully and answer the question that below:-
P, Q,R and S are four men. P is heavier than S, who is less richer and shorter than Q, who is shorter than R but the richest of all. R is heavier than Q but lighter than S and richer than P.
Obviously Q and R are not poorest, as S is less richer than Q and R is richer than P. P or S anyone can be poorest. So cant be determined
Q. No. :
71
Question :
Who is the heaviest of all?
A :
P
B :
Q
C :
R
D :
S
Answer: A
Q. No. :
72
Question :
Who is definitely heavier than R and Q, but shorter than Q?
A :
P
B :
S
C :
R
D :
Q
Answer: B
Q. No. :
73
Question :
If P is the third richest, then who is the second richest?
A :
P
B :
Q
C :
R
D :
S
Answer: C
Q. No. :
74
Question :
The heaviest, the tallest and the richest persons can be repectively
A :
P, R and Q
B :
Q, P and R
C :
P, Q and R
D :
Cannot be determined
Answer: A
Answers the five question by using the information provided below..
I> A is north of E and west of C.
II> B is north of A and west of F.
III> D is south and east of A.
IV> E is north of F and east of D.
V> F is north of D and west of A.
VI> C is south of F and west of D.
Q. No. :
75
Question :
Which of the following statements, if true, would make the information in the numbered statements more specific?
A :
C is north of D.
B :
E is north of D
C :
C is east of F
D :
B is north of F
Answer: A
Q. No. :
76
Question :
Which of the numbered statements gives information that can be deduced from one or more of the other statements?
A :
I
B :
III
C :
VI
D :
V
Answer: B
Q. No. :
77
Question :
Which of the towns mentioned is furthest in the northwest direction?
A :
A
B :
B
C :
C
D :
D
Answer: B
Q. No. :
78
Question :
Which of the following must be both north and east of F? I. A II. C III. E
A :
I only
B :
III only
C :
I and II
D :
I and III
Answer: D
Q. No. :
79
Question :
Which of the following towns must be situated both south and west of at least one other town?
A :
A and F
B :
D and F
C :
D,C and F
D :
C,D and E
Answer: C
These questions are based on the following data
There is a cube in which one pair of adjacent faces is painted red, the second pair of adjacent faces is painted blue and a third pair of adjacent faces is painted green. This cube is now cut into 216 smaller but identical cubes.
Q. No. :
80
Question :
How many small cubes are there with no red paint at all?
No of cubes having red faces = 6*6 + 6*6 - 6 36 cubes from one face of the big cube and 36 from the adjacent face of the big cube 6 cubes are common to both So No of cubes having red faces = 66 Req Ans = 216-66 = 150
Q. No. :
81
Question :
How many small cubes are there with at least two different colours on their faces?
Cubes which will contain colors will be at edges only. There are 12 edges. Now there are 8 corners in cube which will definitely contain at least 2 colors. Except these 8 corners there are 4* 12 = 48 cubes having at least 1 color. There are 3 edges which contain only one color (Either red or green or blue) So number of cubes having only one color = 3 * 4 = 12 So Number of cubes having at least two colors = 48-12 + 8 = 44
Q. No. :
82
Question :
How many small cubes are there with one face painted red?
A :
64
B :
81
C :
60
D :
100
Answer: C
Q. No. :
83
Question :
How many small cubes are with both red and green on their faces?
A :
8
B :
12
C :
16
D :
32
Answer: C
Q. No. :
84
Question :
How many small cubes are there showing only green or only blue on their faces?
A :
64
B :
72
C :
81
D :
90
Answer: B
A survey was conducted among 300 Room air conditioner owners. It was found that 125 people had Carrier Aircon, 145 people had Voltas and 90 people had fedders Lloyd air conditioners with them. Thirty two of them had exactly two out of the three brands of air conditioners.
Q. No. :
85
Question :
How many had all three brands of air conditioners?
x + y + z = 32 Total of all three circles together = 300 So, 125 +
(145-x-w) + (95 - y - z) = 300360 - (x + y + z ) - 2w = 300 x + y + z =
32 or w = 14
Q. No. :
86
Question :
If six owners had only Voltas and Fedders Lloyd air conditioners with them, then how many have only Carrier Aircon with them?
A :
65
B :
75
C :
85
D :
125
Answer: C
Q. No. :
87
Question :
If 110 owners had only Voltas air conditioners, then how many have only Carrier Aircon and Fedder Lloyd with them?
A :
8
B :
11
C :
17
D :
19
Answer: B
Q. No. :
88
Question :
How many of the owners have exactly one brand of air conditioners?
A :
300
B :
196
C :
228
D :
254
Answer: D
Q. No. :
89
Question :
If ten of the owners having only Carrier Aircon now buy Voltas also; and 5 of the owners who had only Voltas and Fedders Lloyd now buy Carrier Aircon also, then how many have at least two out of the three brands of air conditioner?
x + y + z = 32 Total of all three circles together = 300 So, 125 + (145-x-w) + (95 - y - z) = 300 360 - (x + y + z ) - 2w = 300 x + y + z = 32 or w = 14
No. of people owning at least two brands = 32 + 14 = 46 Now, the 5 owners who had Voltas and Fedders Lloyd buying Carrier Aircon also does not change this figure because there are moving from two brands to 3 brands and 46 is including both categories. The 10 people owning only Carrier Aircon now buying Voltas also will be coming into the category of those "owing at least two brands" and hence the figure will now be 46 + 10 = 56
Three questions are based on the information given below:-
In a survey conducted it was found that, of the 100 persons surveyed, 20 persons do not read any of the three magazines- B.W, B.I and B.T. 45 people read B.w, 40 people read B.L and 45 people read B.T.
Q. No. :
90
Question :
What is the maximum possible number of people who read exactly one magazine?
Let x,y,z be number of persons reading BW, BL and BT respectively. Let a,b,c be number of persons reading BW & BL only, BL & BT only and BT & BW only. Let w be number of persons reading all BW, BL and BT.
So, x+y+z+a+b+c+w = 100-20 = 80 ..........(i) x+a+c+w = 45 ..........(ii) y+a+b+w = 40 ..........(iii) z+b+c+w = 45 ..........(iv) (i)+(ii)+(iii) x+y+z+2(a+b+c)+3w = 125 ...........(v) 2*(i)-(v) x+y+z-3w = 30 x+y+z = 30+w (v)-(i) a+b+c+2w = 50 w will be maximum if a+b+c = 0 So w(max) = 25 So x+y+z(max) = 30+25 = 55
Q. No. :
91
Question :
What is the maximum possible number of people who read only B.W?
A :
25
B :
15
C :
20
D :
35
Answer: D
Q. No. :
92
Question :
If no people reads only B.T, what is the maximum possible number of people reading all the three magazines?
x + y + z = 32