Quantitative Aptitude and Logical Reasoning
Practice problems covering mathematical calculations, logical reasoning, and decision making scenarios for placement tests and competitive exams
Questions
For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A two-lane highway without toll goes east for 30 miles to city B and then 20 miles in a northwest direction to City C.
Jim usually drives alone from City C to City A every working day. His firm deducts a percentage of employee pay for lateness. Which factor would most influence his choice of the bridge or the tunnel ?
- Whether his wife goes with him
- scenic beauty on the route
- Traffic conditions on the road, bridge and tunnel
- saving $0.25 in tolls
- price of gasoline consumed in covering additional 10 miles on the bridge
For a motorist, there are three ways of going from City A to City C. By a bridge, the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A two-lane highway without toll goes East for 30 miles to city B and then 20 miles in a North-West direction to City C.
The most economical way of going from City A to City B, in terms of toll and distance, is to use the
- tunnel
- bridge
- bridge or tunnel
- toll free highway
- bridge and highway
For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A two-lane highway without toll goes east for 30 miles to city B and then 20 miles in a northwest direction to City C.
Which is the shortest route from B to C
- Directly on toll free highway to City C
- The bridge
- The Tunnel
- The bridge or the tunnel
- The bridge only if traffic is heavy on the toll free highway
In recommendation to the board of trustees, a tuition increase of $500 per year, the President of the university said "There were no student demonstrations over the previous increases of $300 last year and $200 the year before". If the President's statement is accurate, then which of the following can be validly inferred from the information given:
I. Most students in previous years felt that the hikes were justified because of increased operating costs.
II. Student apathy was responsible for the failure of students to protest the previous tuition hikes.
III. Students are not likely to demonstrate over new tuition hikes.
- Only I
- Only II
- Either I or II
- I, II and III
- None of these
In country X, democratic, conservative and justice parties have fought three civil wars in twenty years. To restore stability an agreement is reached to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The three top office holders must each have two deputies, one from each of the other parties. Each deputy must choose a staff composed of equally members of his or her chiefs party and member of the third party.
When the democratic party holds presidency, the staff of the prime minister's deputies are composed
I. One-fourth of democratic party members
II. One-half of justice party members and one-fourth of conservative party members
III. One-half of conservative party members and one-fourth of justice party members.
- I only
- I and II only
- II or III but not both
- I and II or I and III
- None of these
In country X, democratic, conservative and justice parties have fought three civil wars in twenty years. To restore stability an agreement is reached to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The three top office holders must each have two deputies, one from each of the other parties. Each deputy must choose a staff composed of equally members of his or her chiefs party and member of the third party.
The office of the Army Chief passes from Conservative to Justice party. Which of the following must be fired.
- The democratic deputy and all staff members belonging to Justice party
- Justice party deputy and all his or hers staff members
- Justice party deputy and half of his Conservative staff members in the chief of staff office
- The Conservative deputy and all of his or her staff members belonging to Conservative party
- No deputies and all staff members belonging to conservative parties
In a country X, democratic, conservative and justice parties have fought three civil wars in twenty years. To restore stability, an agreement is reached to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The three top office holders must have two deputies each, one from each of the other parties. Each deputy must choose a staff composed of equal members of his or her chief's party and member of the third party.
When justice party holds one of the top offices, which of the following cannot be true?
- Some of the staff members within that office are justice party members.
- Some of the staff members within that office are democratic party members.
- Two of the deputies within the other offices are justice party members.
- Two of the deputies within the other offices are conservative party members.
- Some of the staff members within the other offices are justice party members.
The office staff of XYZ corporation presently consists of three bookeepers - A, B, C and 5 secretaries - D, E, F, G, H. The management is planning to open a new office in another city using 2 bookeepers and 3 secretaries of the present staff. To do so, they plan to seperate certain individuals who don't function well together. The following guidelines were established to set up the new office:
I. Bookkeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team.
II. C and E function well alone, but not as a team. They should be seperated.
III. D and G have not been on speaking terms and shouldn't go together.
IV. Since D and F have been competing for promotion, they shouldn't be a team.
If A is to be moved as one of the bookeepers, which of the following cannot be a possible working unit?
- ABDEH
- ABDGH
- ABEFH
- ABEGH
The office staff of XYZ corporation presently consists of three bookeepers--A, B, C and 5 secretaries D, E, F, G, H. The management is planning to open a new office in another city using 2 bookeepers and 3 secretaries of the present staff . To do so they plan to seperate certain individuals who don't function well together. The following guidelines were established to set up the new office
I. Bookeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team
II. C and E function well alone but not as a team, they should be seperated
III. D and G have not been on speaking terms and shouldn't go together
IV Since D and F have been competing for promotion they shouldn't be a team
If C and F are moved to the new office, how many combinations are possible
- 1
- 2
- 3
- 4