Self Studies

Logical Reasoni...

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  • Question 1
    3 / -1

    Directions For Questions

    King Porus was defending his last fort against the army of Alexander. He had only 40 soldiers left in his army. He arranged his army in all directions in a square frame(as given below), in 8 flanks,  with 11 soldiers always defending each side of the fort. The number of soldiers in any flank is a whole number, and the set containing the number of soldiers in each flank can have at most 3 distinct numbers.


    Porus lost his 4 soldiers during each of the first, second, third, and fourth attacks and 2 soldiers during the fifth attack. The rest of the soldiers were taken captive after the sixth attack.

    Alexander lauded Porus' war acumen after the last attack, as he noticed that the number of soldiers defending each side of the square remained the same in every attack.

    ...view full instructions

    In how many ways can Porus deploy his army for the first three attacks?

  • Question 2
    3 / -1

    Directions For Questions

    King Porus was defending his last fort against the army of Alexander. He had only 40 soldiers left in his army. He arranged his army in all directions in a square frame(as given below), in 8 flanks,  with 11 soldiers always defending each side of the fort. The number of soldiers in any flank is a whole number, and the set containing the number of soldiers in each flank can have at most 3 distinct numbers.

    Porus lost his 4 soldiers during each of the first, second, third, and fourth attacks and 2 soldiers during the fifth attack. The rest of the soldiers were taken captive after the sixth attack.

    Alexander lauded Porus' war acumen after the last attack, as he noticed that the number of soldiers defending each side of the square remained the same in every attack.

    ...view full instructions

    In how many ways could Porus have arranged his soldiers for the fifth attack?

  • Question 3
    3 / -1

    Directions For Questions

    King Porus was defending his last fort against the army of Alexander. He had only 40 soldiers left in his army. He arranged his army in all directions in a square frame(as given below), in 8 flanks,  with 11 soldiers always defending each side of the fort. The number of soldiers in any flank is a whole number, and the set containing the number of soldiers in each flank can have at most 3 distinct numbers.

    Porus lost his 4 soldiers during each of the first, second, third, and fourth attacks and 2 soldiers during the fifth attack. The rest of the soldiers were taken captive after the sixth attack.

    Alexander lauded Porus' war acumen after the last attack, as he noticed that the number of soldiers defending each side of the square remained the same in every attack.

    ...view full instructions

    If the sum of the soldiers occupying the N and N-W flank after the second attack is the maximum possible, what is the maximum sum of any 5 flanks?

  • Question 4
    3 / -1

    Directions For Questions

    King Porus was defending his last fort against the army of Alexander. He had only 40 soldiers left in his army. He arranged his army in all directions in a square frame(as given below), in 8 flanks,  with 11 soldiers always defending each side of the fort. The number of soldiers in any flank is a whole number, and the set containing the number of soldiers in each flank can have at most 3 distinct numbers.

    Porus lost his 4 soldiers during each of the first, second, third, and fourth attacks and 2 soldiers during the fifth attack. The rest of the soldiers were taken captive after the sixth attack.

    Alexander lauded Porus' war acumen after the last attack, as he noticed that the number of soldiers defending each side of the square remained the same in every attack.

    ...view full instructions

    In how many ways can Porus arrange his army for the next attack after the third attack?

  • Question 5
    3 / -1

    Directions For Questions

    King Porus was defending his last fort against the army of Alexander. He had only 40 soldiers left in his army. He arranged his army in all directions in a square frame(as given below), in 8 flanks,  with 11 soldiers always defending each side of the fort. The number of soldiers in any flank is a whole number, and the set containing the number of soldiers in each flank can have at most 3 distinct numbers.

    Porus lost his 4 soldiers during each of the first, second, third, and fourth attacks and 2 soldiers during the fifth attack. The rest of the soldiers were taken captive after the sixth attack.

    Alexander lauded Porus' war acumen after the last attack, as he noticed that the number of soldiers defending each side of the square remained the same in every attack.

    ...view full instructions

    Porus received a tip about the fourth attack that Alexander's army would try to infiltrate from the North-West side.

    In how many ways can he arrange his army without breaking the formation, such that he should deploy maximum possible soldiers on the nearest three flanks(of the attack)?

  • Question 6
    3 / -1

    Directions For Questions

    Ashok is the cricket coach of V.S.R public school. For an upcoming mini-cricket tournament, he has to select a team of six consisting of 2 opening batsmen, 2 Regular bowlers, an all-rounder and a wicket keeper. The following are the players in contention for the selection:
    Opening Batsman - Right Handed - A, B; Left Handed - C, D
    Regular Bowler - E - right- spinner, F - right - fast, G - left - spinner, H - left-fast
    All-rounder - P right-handed batsman and left handed fast, Q - left-handed batsman and left - spinner
    Wicketkeeper - R - right-handed batsman, S-left handed batsman
    The selection is also subject to the following conditions:
    (i) The team cannot consist of more than three right or left handed regular batsman
    (ii) The team must consist of at least two left-handed bowler
    (iii) The team must consist of exactly one spinner
    (iv) C cannot play in a team with a left-handed spinner and D cannot play in a team with a right-handed spinner

    Note: Opening batsmen are considered regular batsmen. The bowlers are not considered as regular batsman and the all-rounders are not considered as regular bowlers but are considered regular batsmen. Wicket keepers are considered as regular batsmen.

    ...view full instructions

    If the team consists of A, R and P, then how many different combinations of teams are possible?

  • Question 7
    3 / -1

    Directions For Questions

    Ashok is the cricket coach of V.S.R public school. For an upcoming mini-cricket tournament, he has to select a team of six consisting of 2 opening batsmen, 2 Regular bowlers, an all-rounder and a wicket keeper. The following are the players in contention for the selection:
    Opening Batsman - Right Handed - A, B; Left Handed - C, D
    Regular Bowler - E - right- spinner, F - right - fast, G - left - spinner, H - left-fast
    All-rounder - P right-handed batsman and left handed fast, Q - left-handed batsman and left - spinner
    Wicketkeeper - R - right-handed batsman, S-left handed batsman
    The selection is also subject to the following conditions:
    (i) The team cannot consist of more than three right or left handed regular batsman
    (ii) The team must consist of at least two left-handed bowler
    (iii) The team must consist of exactly one spinner
    (iv) C cannot play in a team with a left-handed spinner and D cannot play in a team with a right-handed spinner

    Note: Opening batsmen are considered regular batsmen. The bowlers are not considered as regular batsman and the all-rounders are not considered as regular bowlers but are considered regular batsmen. Wicket keepers are considered as regular batsmen.

    ...view full instructions

    If the team consists of A, R and P, then who must be present in the team if C is also selected?

  • Question 8
    3 / -1

    Directions For Questions

    Ashok is the cricket coach of V.S.R public school. For an upcoming mini-cricket tournament, he has to select a team of six consisting of 2 opening batsmen, 2 Regular bowlers, an all-rounder and a wicket keeper. The following are the players in contention for the selection:
    Opening Batsman - Right Handed - A, B; Left Handed - C, D
    Regular Bowler - E - right- spinner, F - right - fast, G - left - spinner, H - left-fast
    All-rounder - P right-handed batsman and left handed fast, Q - left-handed batsman and left - spinner
    Wicketkeeper - R - right-handed batsman, S-left handed batsman
    The selection is also subject to the following conditions:
    (i) The team cannot consist of more than three right or left handed regular batsman
    (ii) The team must consist of at least two left-handed bowler
    (iii) The team must consist of exactly one spinner
    (iv) C cannot play in a team with a left-handed spinner and D cannot play in a team with a right-handed spinner

    Note: Opening batsmen are considered regular batsmen. The bowlers are not considered as regular batsman and the all-rounders are not considered as regular bowlers but are considered regular batsmen. Wicket keepers are considered as regular batsmen.

    ...view full instructions

    If H, D, and Q are selected, then who among the following must be selected in the team?

  • Question 9
    3 / -1

    Directions For Questions

    Ashok is the cricket coach of V.S.R public school. For an upcoming mini-cricket tournament, he has to select a team of six consisting of 2 opening batsmen, 2 Regular bowlers, an all-rounder and a wicket keeper. The following are the players in contention for the selection:
    Opening Batsman - Right Handed - A, B; Left Handed - C, D
    Regular Bowler - E - right- spinner, F - right - fast, G - left - spinner, H - left-fast
    All-rounder - P right-handed batsman and left handed fast, Q - left-handed batsman and left - spinner
    Wicketkeeper - R - right-handed batsman, S-left handed batsman
    The selection is also subject to the following conditions:
    (i) The team cannot consist of more than three right or left handed regular batsman
    (ii) The team must consist of at least two left-handed bowler
    (iii) The team must consist of exactly one spinner
    (iv) C cannot play in a team with a left-handed spinner and D cannot play in a team with a right-handed spinner

    Note: Opening batsmen are considered regular batsmen. The bowlers are not considered as regular batsman and the all-rounders are not considered as regular bowlers but are considered regular batsmen. Wicket keepers are considered as regular batsmen.

    ...view full instructions

    If C is selected , then how many people are definitely not selected

  • Question 10
    3 / -1

    Directions For Questions

    Ashok is the cricket coach of V.S.R public school. For an upcoming mini-cricket tournament, he has to select a team of six consisting of 2 opening batsmen, 2 Regular bowlers, an all-rounder and a wicket keeper. The following are the players in contention for the selection:
    Opening Batsman - Right Handed - A, B; Left Handed - C, D
    Regular Bowler - E - right- spinner, F - right - fast, G - left - spinner, H - left-fast
    All-rounder - P right-handed batsman and left handed fast, Q - left-handed batsman and left - spinner
    Wicketkeeper - R - right-handed batsman, S-left handed batsman
    The selection is also subject to the following conditions:
    (i) The team cannot consist of more than three right or left handed regular batsman
    (ii) The team must consist of at least two left-handed bowler
    (iii) The team must consist of exactly one spinner
    (iv) C cannot play in a team with a left-handed spinner and D cannot play in a team with a right-handed spinner

    Note: Opening batsmen are considered regular batsmen. The bowlers are not considered as regular batsman and the all-rounders are not considered as regular bowlers but are considered regular batsmen. Wicket keepers are considered as regular batsmen.

    ...view full instructions

    What is the probability of selecting a right handed spinner if A, B and P are already selected?

  • Question 11
    3 / -1

    Directions For Questions

    James Watson is a well-known strategist and mathematician. He entered in a world puzzle-solving championship. The puzzle given to the participants was as follows:

    A number ABCDEFGH is divided by LMN, and the remainder obtained was zero. The quotient obtained after the division was PQ8RS. There is no restriction on the variables to have unique values.

    The solution of the division through the long division method looks as follows:

    X represents the unknown numbers in the calculation.

    ...view full instructions

    What is the value of the resultant quotient of the puzzle?

  • Question 12
    3 / -1

    Directions For Questions

    James Watson is a well-known strategist and mathematician. He entered in a world puzzle-solving championship. The puzzle given to the participants was as follows:

    A number ABCDEFGH is divided by LMN, and the remainder obtained was zero. The quotient obtained after the division was PQ8RS. There is no restriction on the variables to have unique values.

    The solution of the division through the long division method looks as follows:

    X represents the unknown numbers in the calculation.

    ...view full instructions

    Which of the following digits was repeated more than once in the puzzle(excluding the value of Xs)?

  • Question 13
    3 / -1

    Directions For Questions

    James Watson is a well-known strategist and mathematician. He entered in a world puzzle-solving championship. The puzzle given to the participants was as follows:

    A number ABCDEFGH is divided by LMN, and the remainder obtained was zero. The quotient obtained after the division was PQ8RS. There is no restriction on the variables to have unique values.

    The solution of the division through the long division method looks as follows:

    X represents the unknown numbers in the calculation.

    ...view full instructions

    What is the difference between the numbers PQRS and LMN?

  • Question 14
    3 / -1

    Directions For Questions

    James Watson is a well-known strategist and mathematician. He entered in a world puzzle-solving championship. The puzzle given to the participants was as follows:

    A number ABCDEFGH is divided by LMN, and the remainder obtained was zero. The quotient obtained after the division was PQ8RS. There is no restriction on the variables to have unique values.

    The solution of the division through the long division method looks as follows:

    X represents the unknown numbers in the calculation.

    ...view full instructions

    Which one of the following is an odd one out?

  • Question 15
    3 / -1

    Directions For Questions

    James Watson is a well-known strategist and mathematician. He entered in a world puzzle-solving championship. The puzzle given to the participants was as follows:

    A number ABCDEFGH is divided by LMN, and the remainder obtained was zero. The quotient obtained after the division was PQ8RS. There is no restriction on the variables to have unique values.

    The solution of the division through the long division method looks as follows:

    X represents the unknown numbers in the calculation.

    ...view full instructions

    What is the value of (DEFBC % ABLN)?

  • Question 16
    3 / -1

    Directions For Questions

    The pie chart shows the break up of production cost of ABC Pvt Ltd which manufactures six products - P, Q, R, S, T, U - in terms of degree made in a pie chart. The total production cost is Rs 250 crore.

    Each of the six products is produced in two variants - A & B. For each type, the production cost of one unit of type A and one unit of type B is in the ratio 4:5.

    Profit percentage = $$\frac{profit}{cost}*100$$

    ...view full instructions

    For how many of the six products is the profit made on B not more than profit made on A?

  • Question 17
    3 / -1

    Directions For Questions

    The pie chart shows the break up of production cost of ABC Pvt Ltd which manufactures six products - P, Q, R, S, T, U - in terms of degree made in a pie chart. The total production cost is Rs 250 crore.

    Each of the six products is produced in two variants - A & B. For each type, the production cost of one unit of type A and one unit of type B is in the ratio 4:5.

    Profit percentage = $$\frac{profit}{cost}*100$$

    ...view full instructions

    For which product is the total profit to the total production cost the lowest?

  • Question 18
    3 / -1

    Directions For Questions

    The pie chart shows the break up of production cost of ABC Pvt Ltd which manufactures six products - P, Q, R, S, T, U - in terms of degree made in a pie chart. The total production cost is Rs 250 crore.

    Each of the six products is produced in two variants - A & B. For each type, the production cost of one unit of type A and one unit of type B is in the ratio 4:5.

    Profit percentage = $$\frac{profit}{cost}*100$$

    ...view full instructions

    Which product is having the highest absolute difference between the cost of production of Type A and Type B?

  • Question 19
    3 / -1

    Directions For Questions

    The pie chart shows the break up of production cost of ABC Pvt Ltd which manufactures six products - P, Q, R, S, T, U - in terms of degree made in a pie chart. The total production cost is Rs 250 crore.

    Each of the six products is produced in two variants - A & B. For each type, the production cost of one unit of type A and one unit of type B is in the ratio 4:5.

    Profit percentage = $$\frac{profit}{cost}*100$$

    ...view full instructions

    For how many products is the overall profit percentage more than 20%?

  • Question 20
    3 / -1

    Directions For Questions

    The pie chart shows the break up of production cost of ABC Pvt Ltd which manufactures six products - P, Q, R, S, T, U - in terms of degree made in a pie chart. The total production cost is Rs 250 crore.

    Each of the six products is produced in two variants - A & B. For each type, the production cost of one unit of type A and one unit of type B is in the ratio 4:5.

    Profit percentage = $$\frac{profit}{cost}*100$$

    ...view full instructions

    For the products with lowest total cost of production , Find the ratio of total profit made by all the type A vehicles to total profit made by all the type B vehicles.

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