Logical Reasoni...

There are 7 oil wells which are connected as shown in the below diagram. The oil wells act only as storage and do not produce any oil by themselves. The whole distribution of oil starts from A as per the directions shown. Each of B, C, D, E and F oil wells have a limited capacity and the extra oil that flows into the oil well through the inflow pipes is distributed equally into all the outflow pipes. The maximum capacity of each oil pipe is 8 million litres. The maximum capacity of each oil well is marked in the diagram. The difference of the maximum capacity of a pipe and the oil that flows in that pipe is called the slack of that pipe. The pipes that are connected to A have an initial slack value of zero.

Find the amount of oil that flow in the D-G pipeline.

There are 7 oil wells which are connected as shown in the below diagram. The oil wells act only as storage and do not produce any oil by themselves. The whole distribution of oil starts from A as per the directions shown. Each of B, C, D, E and F oil wells have a limited capacity and the extra oil that flows into the oil well through the inflow pipes is distributed equally into all the outflow pipes. The maximum capacity of each oil pipe is 8 million litres. The maximum capacity of each oil well is marked in the diagram. The difference of the maximum capacity of a pipe and the oil that flows in that pipe is called the slack of that pipe. The pipes that are connected to A have an initial slack value of zero.

If the oil well G distributes all the oil that flows into it to 20 oil reservoirs, then what is the value of the oil that flows into each oil reservoir from G.

There are 7 oil wells which are connected as shown in the below diagram. The oil wells act only as storage and do not produce any oil by themselves. The whole distribution of oil starts from A as per the directions shown. Each of B, C, D, E and F oil wells have a limited capacity and the extra oil that flows into the oil well through the inflow pipes is distributed equally into all the outflow pipes. The maximum capacity of each oil pipe is 8 million litres. The maximum capacity of each oil well is marked in the diagram. The difference of the maximum capacity of a pipe and the oil that flows in that pipe is called the slack of that pipe. The pipes that are connected to A have an initial slack value of zero.

The pipe C-D has a leakage problem and hence is closed. Find the slack in the D-G pipe in this situation.

Instructions​ : Read the below information carefully and answer the following questions.
There are 100 students in a class. Each of the students has to opt for one or more of the three specializations among Finance, Operations and Marketing. The number of students who opted for Marketing is more than the number of students who opted for Finance which is more than the number of students who opted for Operations which is more than the number of students who opted for exactly two of the three specializations which is more than the number of students who opted for all three specializations. At least one student opted for all three specializations.
What is the maximum number of students who opted for Finance and Operations but not Marketing?

Instructions : 
Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.
a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.
b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.
c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.
d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.
e) The game ends when one of the teams pockets all their coins. The points are calculated as follows.        No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.
Consider the case when 6 White coins have been pocketed at the end of the first round. (All players have had one turn each). What is the maximum number of coins that D could have pocketed in the first round, if the game does not end in the first round ?

Instructions : 
Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.
a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.
b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.
c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.
d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.
e) The game ends when one of the teams pockets all their coins. The points are calculated as follows.  No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.
Find the sum of all possible points that a team can score.

Instructions : 
Consider 4 players A,B,C,D are playing a carrom match. The carrom match has 9 white, 9 black and 1 red coin. A,C are teammates and B,D are teammates. A round has four turns and a round is said to be completed when all the four players have completed their turns. The following is known about the rules of the carrom match.
a) A and C choose white colour for their team and A takes the first shot, followed by B,C,D respectively.
b) When a player pockets a coin of his chosen colour, he gets another chance in his turn.This continues until he does not pocket any coin, or when he pockets a coin of the opponents colour, which signals the end of his turn. The next player then starts his turn.
c) Any player who pockets the red coin, which is worth 5 points, should follow with pocketing a coin of his colour. If he pockets a coin of the opposite colour after pocketing the red, the red is awarded to the opposite team. If the player does not pocket any coin after pocketing the red, the red coin is placed back on to the board.
d) When there is only one coin of black or white and a red coin left on the board, the black/white coin should not be pocketed. Instead, the red coin is to be pocketed. If by mistake the lone coin is pocketed, it is to be placed back in the centre.
e) The game ends when one of the teams pockets all their coins. The points are calculated as follows.        No of points = (No of coins of opposite team left)*2 + points from pocketing red coin. The team with the most points wins.
If a white coin is the last coin to be pocketed in the game but Black wins and  k is the difference between the points of white team and black team, find the number of possible values for k?

There are 7 oil wells which are connected as shown in the below diagram. The oil wells act only as storage and do not produce any oil by themselves. The whole distribution of oil starts from A as per the directions shown. Each of B, C, D, E and F oil wells have a limited capacity and the extra oil that flows into the oil well through the inflow pipes is distributed equally into all the outflow pipes. The maximum capacity of each oil pipe is 8 million litres. The maximum capacity of each oil well is marked in the diagram. The difference of the maximum capacity of a pipe and the oil that flows in that pipe is called the slack of that pipe. The pipes that are connected to A have an initial slack value of zero.

Find the slack in the F-G pipeline.

Instructions: 
5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for the  person sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.
We are also given some additional facts-
1. Exactly two friends marked the answer as option B for Q1 and neither of the two were sitting at the first or the fifth position.
2.  The person sitting in the second position, who was not Liam, marked the answer as option B for Q3, which he copied.
3. Jack, who was sitting immediately in front of Liam, marked the answer as option C for exactly two questions, while Nico marked the answer as option C only for Q1.
4. The person sitting in the last position, who was not Liam, marked the answer as option B for Q2 and Mike, who was not in the last position, did not mark the answer to Q3 as option B.
5. Each of the four friends who copied the answer did so for a different question and each friend marked the answer as option A for at least one question, as option B for at least one question and as option C for at least one question.
6. The person sitting in the middle marked the answer to Q2 as option C, which he did not copy
7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.
What was the answer marked by the person sitting in the last position for Q4?

Instructions: 
5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for the  person sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.
We are also given some additional facts-
1. Exactly two friends marked the answer as option B for Q1 and neither of the two were sitting at the first or the fifth position.
2.  The person sitting in the second position, who was not Liam, marked the answer as option B for Q3, which he copied.
3. Jack, who was sitting immediately in front of Liam, marked the answer as option C for exactly two questions, while Nico marked the answer as option C only for Q1.
4. The person sitting in the last position, who was not Liam, marked the answer as option B for Q2 and Mike, who was not in the last position, did not mark the answer to Q3 as option B.
5. Each of the four friends who copied the answer did so for a different question and each friend marked the answer as option A for at least one question, as option B for at least one question and as option C for at least one question.
6. The person sitting in the middle marked the answer to Q2 as option C, which he did not copy
7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.
Which Question number did Kiara copy from her friend?

Instructions: 
5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for the  person sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.
We are also given some additional facts-
1. Exactly two friends marked the answer as option B for Q1 and neither of the two were sitting at the first or the fifth position.
2.  The person sitting in the second position, who was not Liam, marked the answer as option B for Q3, which he copied.
3. Jack, who was sitting immediately in front of Liam, marked the answer as option C for exactly two questions, while Nico marked the answer as option C only for Q1.
4. The person sitting in the last position, who was not Liam, marked the answer as option B for Q2 and Mike, who was not in the last position, did not mark the answer to Q3 as option B.
5. Each of the four friends who copied the answer did so for a different question and each friend marked the answer as option A for at least one question, as option B for at least one question and as option C for at least one question.
6. The person sitting in the middle marked the answer to Q2 as option C, which he did not copy
7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.
For how many questions did Liam and the friend sitting in the first position mark the same answer?

Instructions: 
5 friends- Jack, Kiara, Liam, Mike and Nico went for a quiz competition and had to appear for an MCQ test, which was the first round for elimination. The test was fairly simple. It had just four questions and each question had 3 options- A, B and C. The five friends sat down in a continuous line, one behind the other, all facing the same direction. Except for the  person sitting in front among these 5 friends, all the others copied at least one answer from the person sitting immediately in front of him. Furthermore, for each of the pairs of friends sitting continuously, exactly one answer was same.
We are also given some additional facts-
1. Exactly two friends marked the answer as option B for Q1 and neither of the two were sitting at the first or the fifth position.
2.  The person sitting in the second position, who was not Liam, marked the answer as option B for Q3, which he copied.
3. Jack, who was sitting immediately in front of Liam, marked the answer as option C for exactly two questions, while Nico marked the answer as option C only for Q1.
4. The person sitting in the last position, who was not Liam, marked the answer as option B for Q2 and Mike, who was not in the last position, did not mark the answer to Q3 as option B.
5. Each of the four friends who copied the answer did so for a different question and each friend marked the answer as option A for at least one question, as option B for at least one question and as option C for at least one question.
6. The person sitting in the middle marked the answer to Q2 as option C, which he did not copy
7. The answers of two persons sitting one behind another are the same only if the person sitting at the back copied the answer.
For all the responses combined for the four questions, which option was the least chosen one among the three?

Instructions:
Six friends- Aman, Billu, Dinesh, Ekansh, Ganesh and Hritesh went for a trip together across 5 different cities- Pune, Mumbai, Hyderabad, Delhi and Bangalore in that order. Each of the six friends made certain expenses in each of the five cities . It is known that the total amount remaining with each of the six friends before visiting Delhi was the same. The following graph shows the amount of money spent (in thousands ) in each city by the six friends:

Note : All values are either multiples of 5 or 10 (in thousands )
Which friend had the least amount with him before the start of the tour?

Instructions:
Six friends- Aman, Billu, Dinesh, Ekansh, Ganesh and Hritesh went for a trip together across 5 different cities- Pune, Mumbai, Hyderabad, Delhi and Bangalore in that order. Each of the six friends made certain expenses in each of the five cities . It is known that the total amount remaining with each of the six friends before visiting Delhi was the same. The following graph shows the amount of money spent (in thousands ) in each city by the six friends:

Note : All values are either multiples of 5 or 10 (in thousands)
Which friend had the highest amount left with him after the tour to Bangalore?

Instructions:
Six friends- Aman, Billu, Dinesh, Ekansh, Ganesh and Hritesh went for a trip together across 5 different cities- Pune, Mumbai, Hyderabad, Delhi and Bangalore in that order. Each of the six friends made certain expenses in each of the five cities . It is known that the total amount remaining with each of the six friends before visiting Delhi was the same. The following graph shows the amount of money spent (in thousands ) in each city by the six friends:

Note : All values are either multiples of 5 or 10 (in thousands )
If each of the friends spent at least 50% of the amount (in all the trips including Bangalore) they initially had before the start of the tour,  what is the maximum amount of money with any friend before the beginning of Mumbai trip?

Refer to the data below and answer the questions that follow.
Rajesh has a cube having length of each side equal to 5 cm. Out of the three pairs of opposite faces, one is painted Red, other is painted Blue while the third is painted Green.
Rajesh placed the cube such that one green face of the cube was touching the ground and one red face of the cube was directly in front of him. He further cut the cube into 125 small identical cubes having each side equal to 1 cm. He then assigned numbers to the 125 small cubes as follows:
The cubes in the front-most row of the bottommost layer were assigned numbers 1 to 5 from left to right. The cubes in the row just behind the front-most row of the bottommost layer were assigned numbers 6 to 10 from left to right. The cubes in the middle row of the bottommost layer were assigned numbers 11 to 15 from left to right. The numbering was continued this way and the rightmost cube in the last row of the bottommost layer was assigned number 25.
Assignment of the numbers was continued for the second layer from the bottom on similar lines. The leftmost cube in the front-most row of the second layer from the bottom was assigned 26, the rightmost cube in the front-most row of the second layer from the bottom was assigned 30 while the rightmost cube in the last row of the second layer from the bottom was assigned 50.
The numbering was continued on similar lines for the remaining layers of the cubes. The leftmost cube in the front-most row of the topmost layer of the cubes was assigned 101 while the rightmost cube in the last row of the topmost layer was assigned 125.

What is the sum of the numbers assigned to the cubes that have green colour on at least one of their faces?

Instructions:
Six friends- Aman, Billu, Dinesh, Ekansh, Ganesh and Hritesh went for a trip together across 5 different cities- Pune, Mumbai, Hyderabad, Delhi and Bangalore in that order. Each of the six friends made certain expenses in each of the five cities . It is known that the total amount remaining with each of the six friends before visiting Delhi was the same. The following graph shows the amount of money spent (in thousands ) in each city by the six friends:

Note : All values are either multiples of 5 or 10 (in thousands)
If Ganesh was left with Rs. 30,000 at the end of the entire trip, what is the amount of money left with Billu after his trip to Mumbai?

The number of ways in which 16 sovereigns can be distributed among 3 applicants such that each applicant does not receive less than 3 sovereigns is:

An amount triples in 4 years under compound interest at a certain rate of interest, the interest is being compounded annually, the time it would take to become 9 times itself.

The faces of a cube of n cm is first painted red and then the cube is cut into smaller cubes of 1cm. If the difference between the number of cubes with 1 face painted and the number with 2 faces painted is 90, what is the number of cubes with no face painted?