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A Men Singles Tennis Tournament is being held out at Mumbai. 30 players participated in the tournament. There is a rule that is implemented, the rule states that, if a player loses a match then he is eliminated from the tournament. How many matches have to be played to decide the winner of the tournament?
30 players participated in the tournament.
In the first elimination round, 15 players will be eliminated. ( 15 matches )
In the second elimination round, 7 players will be eliminated. (7matches)
In the third elimination round, 4 players will be eliminated. (4matches)
In the fourth elimination round, 2 players will be eliminated. (2matches)
Final Match (1 match)
Total matches= 1+2+4+7+15 matches
=29 matches
There are 3 closed cartons in a room. One of the cartons contains cash. There is a printed message that is displayed outside each carton. Only one message is True and the other two messages are False. The first carton has the message: Cash is not in the Carton. The second carton has the message: No cash in the Carton. The third carton has the message: Cash is in the second carton. Which carton has the cash?
Only one message is True and the other two messages are False.
The first carton has the message: Cash is not in the Carton.
The second carton has the message: No cash in the Carton.
The third carton has the message: Cash is in the second carton
If the second carton has the cash, then there will be 2 true messages i.e. First and Third.
If the third carton has the cash, then there will be 2 true messages i.e. First and Second.
If the first carton has the cash, then there will be 1 true message i.e. of second.
Option A
Mr. Peter gave his eldest son David a bag with 1000 gold coins. David took 230 gold coins from the bag and gave the rest to his younger brothers John, Joe and Jonathan, and advised them to distribute the balance left in the bag amongst themselves in proportion to their age which together amounted to 17.5 years. After a lot of deliberation and discussion John, Joe and Jonathan came to a conclusion to distribute the gold coins. Their methodology was as follows: As often John took 4 gold coins, Joe took 3. As often John took 6 gold coins Jonathan took 7. What was the age of John, Joe and Jonathan ?
BY using their methodology, we can create a table as:
Now, if we distribute 12 coins to John, we will have the following gold coins for the rest using the ratio mentioned above:
The given ratio, 12:9:14 is also the ratio of their ages.
For the sum of their ages to be 12+9+14=35 years, Age of John, Joe and Jonathon are 12, 9 and 14 years respectively.
So, if the sum of their ages amount to 17.5 which is half of 35,
their ages will be 6, 4.5 and 7 years respectively
There are 100 MBA aspirants in a classroom and 99% of them are engineers. How many engineers must leave the classroom in order to reduce the percentage of engineers in the classroom to 98% ?
99% of 100 students are engineers means that there are 99 engineers.
Let 'k' be the no. of engineers who leave.
no. of engineers now = 99-k
total no. of students now = 100-k
So, (99-k)/(100-k) = 0.98
=> 99-k = 0.98(100-k)
=> 0.02*k = 1
=> k = 50
A fibres 5 shots to B’s 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed
Let the no of shots be x. Then,
Shots fired by A =(5/8)x
Shots fired by B = (3/8)x
Killing shots by A = 1/3 of (5/8)x = (5/24)x
Shots missed by B = 1/2 of (3/8)x = (3/16)x
(3/16)x = 27 ⇒
x =144
Birds killed by A = (5/24)x = (5/24)*144 = 30
Read the following information and answer the questions that follow:
Mr. Mansingh has five sons - Arun, Mahi, Rohit, Nilesh and Saurav, and three daughters - Tamanna, Kuntala and Janaki. Three sons of Mr. Mansingh were born first followed by two daughters. Saurav is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Rohit study at St. Stefan School. Kuntala, the eldest daughter, plays chess. Mansorover school offers cricket only, while Trinity school offers chess. Beside, these schools offer no other games. The children who are at Mansorover School have been born in succession. Mahi and Nilesh are cricketers while Arun plays football. Rohit who was born just before Janki, plays hockey.
Arun is the _________ child of Mr. Mansingh.
Read the following information and answer the questions that follow:
Mr. Mansingh has five sons - Arun, Mahi, Rohit, Nilesh and Saurav, and three daughters - Tamanna, Kuntala and Janaki. Three sons of Mr. Mansingh were born first followed by two daughters. Saurav is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Rohit study at St. Stefan School. Kuntala, the eldest daughter, plays chess. Mansorover school offers cricket only, while Trinity school offers chess. Beside, these schools offer no other games. The children who are at Mansorover School have been born in succession. Mahi and Nilesh are cricketers while Arun plays football. Rohit who was born just before Janki, plays hockey.
Saurav is a student of which school?
Read the following information and answer the questions that follow:
Mr. Mansingh has five sons - Arun, Mahi, Rohit, Nilesh and Saurav, and three daughters - Tamanna, Kuntala and Janaki. Three sons of Mr. Mansingh were born first followed by two daughters. Saurav is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Rohit study at St. Stefan School. Kuntala, the eldest daughter, plays chess. Mansorover school offers cricket only, while Trinity school offers chess. Beside, these schools offer no other games. The children who are at Mansorover School have been born in succession. Mahi and Nilesh are cricketers while Arun plays football. Rohit who was born just before Janki, plays hockey.
What game does Tamanna play?
The sport of Tamanna is unknown
Read the following information and answer the questions that follow:
Mr. Mansingh has five sons - Arun, Mahi, Rohit, Nilesh and Saurav, and three daughters - Tamanna, Kuntala and Janaki. Three sons of Mr. Mansingh were born first followed by two daughters. Saurav is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Rohit study at St. Stefan School. Kuntala, the eldest daughter, plays chess. Mansorover school offers cricket only, while Trinity school offers chess. Beside, these schools offer no other games. The children who are at Mansorover School have been born in succession. Mahi and Nilesh are cricketers while Arun plays football. Rohit who was born just before Janki, plays hockey.
Which of the following pairs was not born in succession (ignore the order)?
Kuntala and Arun are not born in succession.
In a school students at Pioneer career Kolkata wrote Mock test which has three subjects DI, VA and QA, here is the result of these students. 80 students cleared cut off in DI, 70 in VA and 60 in QA. Only 40 students cleared all the three subjects. 10 students failed to clear cut off even in one subjects. 50 students cleared cut off in VA and QA. 5 students cleared in cut off in only QA.
What is the ratio of number of students who didn’t clear cut off DI, but cleared cut off in QA to the number of students who didn’t clear cut off only in VA
Since 40 students cleared cut off in all the three subjects, while 50 students cleared cut off in VA and QA hence the number of students who cleared cut off in only VA and QA is 50-40 =10
5 students cleared cut off in only QA hence the number of students who cleared cut off in only DI and QA is 60-40-10-5=5
Let the number of students who cleared cut off in only DI and VA is x.
From the given condition, the ratio is 15/5 = 3:1
In a school students at Pioneer career Kolkata wrote Mock test which has three subjects DI, VA and QA, here is the result of these students. 80 students cleared cut off in DI, 70 in VA and 60 in QA. Only 40 students cleared all the three subjects. 10 students failed to clear cut off even in one subjects. 50 students cleared cut off in VA and QA. 5 students cleared in cut off in only QA.
If number of students who didn’t clear cut off in at least two subjects is maximum possible then find the number of students who failed in exactly one subject?
Since 40 students cleared cut off in all the three subjects, while 50 students cleared cut off in VA and QA hence the number of students who cleared cut off in only VA and QA is 50-40 =10
5 students cleared cut off in only QA hence the number of students who cleared cut off in only DI and QA is 60-40-10-5=5
Let the number of students who cleared cut off in only DI and VA is x.
number of students who didn’t clear cut off in at least two subjects = (35-x)+(20-x) + 5 + 10 = 70-2x
This is max when x=0
=> number of students who failed in exactly one subject = 10+5+x = 15
In the following letter series, some of the letters are missing, which are given below it. Choose the correct alternative.
If every 2 out of 3 ready-made shirts need alterations in the sleeves, 3 out of 4 ready-made shirts need alterations in the collar, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts?
2/3th of 60+3/4th of 60+ 4/5th of 60
Thus, the number of alterations required = 20+45+48 =133
India is a multi-religion, multi-language and multi-cultural country where people belonging to different religions join in celebrating the festivities together. The Indian Government declares such big occasions as public holidays to enable the citizens to enjoy and foster the feelings of brotherhood.Five broad-minded persons belonging to different religions were asked to give their preferences of four such festivals which they would like to enjoy with likeminded brethren. Their options are
A. Holi, Dussehra, Diwali, Guru Nanak Birthday
B. Shivratri, Christmas, Onam, Eid
C. Holi, Shivratri, Christmas, Diwali
D. Holi, Dussehra, Guru Nanak Birthday, Eid
E. Christmas, Diwali, Onam, Guru Nanak Birthday
Which pair celebrates Christmas and Onam but not Dussehra and Holi?
A. Holi, Dussehra, Diwali, Guru Nanak Birthday
B. Shivratri, Christmas, Onam, Eid
C. Holi, Shivratri, Christmas, Diwali
D. Holi, Dussehra, Guru Nanak Birthday, Eid
E. Christmas, Diwali, Onam, Guru Nanak Birthday
Among the given option Pair B and C celebrates Christmas and Onam but not Dussehra and Holi.
Option D
India is a multi-religion, multi-language and multi-cultural country where people belonging to different religions join in celebrating the festivities together. The Indian Government declares such big occasions as public holidays to enable the citizens to enjoy and foster the feelings of brotherhood.Five broad-minded persons belonging to different religions were asked to give their preferences of four such festivals which they would like to enjoy with likeminded brethren. Their options are
A. Holi, Dussehra, Diwali, Guru Nanak Birthday
B. Shivratri, Christmas, Onam, Eid
C. Holi, Shivratri, Christmas, Diwali
D. Holi, Dussehra, Guru Nanak Birthday, Eid
E. Christmas, Diwali, Onam, Guru Nanak Birthday
Which pair does not participate in Eid and Onam but joins in Holi?
A. Holi, Dussehra, Diwali, Guru Nanak Birthday
B. Shivratri, Christmas, Onam, Eid
C. Holi, Shivratri, Christmas, Diwali
D. Holi, Dussehra, Guru Nanak Birthday, Eid
E. Christmas, Diwali, Onam, Guru Nanak Birthday
A and C does not participate in Eid and Onam but joins in Holi.
India is a multi-religion, multi-language and multi-cultural country where people belonging to different religions join in celebrating the festivities together. The Indian Government declares such big occasions as public holidays to enable the citizens to enjoy and foster the feelings of brotherhood.Five broad-minded persons belonging to different religions were asked to give their preferences of four such festivals which they would like to enjoy with likeminded brethren. Their options are
A. Holi, Dussehra, Diwali, Guru Nanak Birthday
B. Shivratri, Christmas, Onam, Eid
C. Holi, Shivratri, Christmas, Diwali
D. Holi, Dussehra, Guru Nanak Birthday, Eid
E. Christmas, Diwali, Onam, Guru Nanak Birthday
Who enjoys Holi and Eid but not Diwali and Christmas?
A. Holi, Dussehra, Diwali, Guru Nanak Birthday
B. Shivratri, Christmas, Onam, Eid
C. Holi, Shivratri, Christmas, Diwali
D. Holi, Dussehra, Guru Nanak Birthday, Eid
E. Christmas, Diwali, Onam, Guru Nanak Birthday
D enjoys Holi and Eid but not Diwali and Christmas
Each question consists of a set of numbered statements. Assume that each one of these statements is individually true. Each of the four choices consists of a subset of these statements. Choose the subset as your answer where the statements therein are logically consistent among themselves:
A. Only if the water level in the coastal areas rises, then the people change their lifestyle.
B. People change their lifestyle only if they are rewarded.
C. If people are rewarded, then they will not change their lifestyle.
D. If the temperature rises, then the water level in the coastal areas rises.
E. Whenever the water level in the coastal area rises, then the temperature rises.
F. Unless the people change their lifestyle, temperature rises.
G. People are rewarded.
H. Water level in the coastal areas does not rise.
Let us solve the problem by eliminating the options.
G: People are rewarded
C: if people are rewarded then they will not change their lifestyle.
F: Unless people change their lifestyle, temperature rises This can also be put In the following manner.
If people do not change their lifestyle then temperature rises.
This is an example of binary logic - If not A then B which can also be expressed as if not B then 'A'.
Thus if the temperature doesn't rise then people change their lifestyle.
Here, accordingtoG and C, people do not change their lifestyle and so temperature rises.
D: If temperature rises, then water level in the coastal area rises.
H: Water level In the coastal area doesn't rise.
Here, D is in accordance with G, C and F but H is not So option (A) is incorrect.
B: People change their lifestyle only if they are rewarded.
This means that if people have changed their lifestyle then they have been rewarded.
Note that if people are rewarded, they may or may not have changed their lifestyle.
G: People are rewarded.
From B and G. we don't know whether people have changed their lifestyle or not.
F: Unless the people change their lifestyle, temperature rises.
This can also be put as - If the people don't change their lifestyle then temperature rises
But
as we don't know whether people have changed their lifestyle or not,
v/e cannot conclude whether temperature has risen or not.
D: if temperature rises, then water level in the coastal area rises.
H: Water level in the coastal area doesn't rise.
As we don’t know whether temperature has risen or not, H cannot be concluded using D.
Hence, option (B) is also incorrect.
Each question consists of a set of numbered statements. Assume that each one of these statements is individually true. Each of the four choices consists of a subset of these statements. Choose the subset as your answer where the statements therein are logically consistent among themselves:
A. If Kumar sings, then the audiences sleep.
B. If Kumar sings, then the audiences dance.
C. Unless audience do not dance, the concert will be successful.
D. Only if the audience dance, the concert will be successful.
E. If Vina dances, then Kumar sings.
F. Kumar sings only if Vina dances.
G. Vina dances
H. The concert is successful.
In option 2, statement A says- If Kumar sings then the audiences sleep.
Out
of the other 4 statements C, F,G and H, none of the statements mention
anything about sleep and hence option (B) is incorrect.
If option (B) is incorrect, option (D) is also incorrect as it mentions both (B) and (C).
C: Unless audience does not dance, the concert will be successful.
This can also be put as - If the audience dance, the concert will be successful.
F: Kumar sings, only if Vina dances.
This means that - If Kumar has sung, then Vina has danced.
But if Vina has danced, Kumar may or may not have sung.
B: if Kumar sings, then the audience dances.
We
don't know whether Kumar has sung or not and so we don't know whether
the audience have danced or not. Hence we cannot conclude that the
concert is successful as given in statement H.
So option (A) is also logically incorrect.
E: if Vina dances, then Kumar sings.
G: Vina dances.
Thus from these two statements v/e know that Kumar sings.
B: If Kumar sings, then audiences dance.
Thus audiences have danced.
C: Unless audience does not dance, the concert will be successful.
This can also be put as - If the audience dance, the concert will be successful.
Thus the concert is successful as mentioned in statement H.
When Rafael entered the class, there were already 10 students in the class. 5 students entered the class between Roger and Rafael. Total 10 students entered after Roger. Exactly how many students are in the class finally?
![PowerPoint Slide Show - [New Microsoft PowerPoint Presentation] 06-01-2021 17_51_11](https://cracku.in/media/uploads/PowerPoint%20Slide%20Show%20-%20%5BNew%20Microsoft%20PowerPoint%20Presentation%5D%2006-01-2021%2017_51_11.png)
There are 3 societies A, B, C having some tractors each. A gives B and C as many tractors as they already have. After some days B gives A and C as many tractors as they have. After some days C gives A and B as many tractors as they have. Finally each has 24 tractors. What is the original No. of tractors each had in the beginning?
Let the no. of tractors with A, B, and C be a, b, and c respectively.
After A gives out tractors to both B and C, the number of tractors with B becomes 2b and that with C becomes 2c. The remaining tractors with A becomes a-(b+c).
After B's turn to give out tractors, A has 2{a-(b+c}, C has 2(2c)= 4c, and B will be left with 2b-(a-b-c)-2c tractors.
Finally after C's turn, A has 4{a-(b+c)} = 4(a-b-c) tractors, B has 4b-2(a-b-c)-4c = 4b-2a+2b+2c-4c=6b-2a-2c tractors. And C is left with 4c-2(a-b-c)-{2b-(a-b-c)-2c}= 4c-2a+2b+2c-(2b-a+b+c-2c)= 4c-2a+2b+2c-2b+a-b+c= -a-b+7c tractors
It is given that they are all left with 24 tractors in the end.
For A, 4(a-b-c)=24
=> a-b-c=6
=> a= 6+b+c.
For B, 6b-2a-2c=24
=> 3b-a-c=12
=>3b-6-b-c-c=12
=>2b-2c=18
=>b-c=9
=>b=c+9.
For C, -a-b+7c=24
=>-6-b-c-c-9+7c=24
=>5c-b=39
=>5c-c-9=39
=>4c=48
.'. c=12.
b=c+9
.'. b=21.
a=6+b+c
=> a= 6+21+12
.'. a=39.
Each child in a family has at least 4 brothers and 3 sisters. What is the smallest number of children the family might have?
If a girl has 4 brothers, then for the boy the number of brothers will be 3. Therefore to satisfy the conditions of brothers, there are 5 male children.
Similarly, if a boy has 3 sisters, then for one of the sisters, the number of sisters she has will be 2. And hence to satisfy the condition for number of sisters, there has to be 4 female children.
Therefore, the smallest number of children a family can have is 9.
The drawing shows a cross section where the land meets the sea. The section covered is 5 kilometers. On a hot day, in which direction, indicated by four arrows, is the wind most likely to blow?
We know that hot air has a tendency to move upwards. So, on a hot day, the hot air in the land area will rise up, creating a low-pressure zone and the wind always moves from the high pressure zone to the low pressure zone. Therefore, the wind from the sea will move from the sea to the land as shown by Direction arrow D.
Answer the following questions based on the information given below.
i. There is a group of 5 persons A, B, C, D and E
ii. In the group there is one badminton player, one chess player and one tennis player
iii. A and D are unmarried ladies and they do not play any games
iv. No lady is a chess player or a badminton player
v. There is a married couple in the group of which E is the husband
vi. B is the brother of C and is neither a chess player nor a tennis player
Which of the groups has only ladies?
From statement iii,
From statement v and vi, we can infer that E and C are the couples.
Also, since B doesn’t play either Chess or Tennis. Therefore, he plays Badminton.
And from iv, we can say that C plays Tennis.
The group with only ladies is ACD.
Answer the following questions based on the information given below.
i. There is a group of 5 persons A, B, C, D and E
ii. In the group there is one badminton player, one chess player and one tennis player
iii. A and D are unmarried ladies and they do not play any games
iv. No lady is a chess player or a badminton player
v. There is a married couple in the group of which E is the husband
vi. B is the brother of C and is neither a chess player nor a tennis player
Who is the tennis player?
From statement iii,
From statement v and vi, we can infer that E and C are the couples.
Also, since B doesn’t play either Chess or Tennis. Therefore, he plays Badminton.
And from iv, we can say that C plays Tennis.
Answer the following questions based on the information given below.
i. There is a group of 5 persons A, B, C, D and E
ii. In the group there is one badminton player, one chess player and one tennis player
iii. A and D are unmarried ladies and they do not play any games
iv. No lady is a chess player or a badminton player
v. There is a married couple in the group of which E is the husband
vi. B is the brother of C and is neither a chess player nor a tennis player
Who is the wife of E?
From statement iii,
From statement v and vi, we can infer that E and C are the couples.
Also, since B doesn’t play either Chess or Tennis. Therefore, he plays Badminton.
And from iv, we can say that C plays Tennis.
A bank customer had Rs. 100 in his account. He then made 6 withdrawals, totaling Rs. 100. He kept a record of these withdrawals, and the balance remaining in the account, as follows:
So, why are the totals not exactly right?
Withdrawals and the Balance are 2 separate things.
Imagine if the customer withdraws Rs.1 100 times. In this case sum of withdrawals will be still 100 but sum of balance = $$\left(99+98+...+1\right)\ne\ 100$$
Two totals need not be equal
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