On Bagshot Island, there is an airport. The airport is the home-base of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?
Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)
When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 5050 water, and the honey obtained from this nectar contains 1515 water?
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days.
The number of days after which A left the work was
A. 12 C. 10
B. 11 D. 9
The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?
| A. |
13.5 |
|
| B. |
14 |
|
| C. |
15 |
|
| D. |
12.5 |
|
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water? |
| A. |
8 : 3 |
|
| B. |
7 : 5 |
|
| C. |
4 : 3 |
|
| D. |
2 : 3 |
|
Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5? |
| A. |
1 : 7 |
|
| B. |
2 : 9 |
|
| C. |
7 : 9 |
|
| D. |
3 : 8 |
|
Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n? |
| A. |
144 |
|
| B. |
168 |
|
| C. |
192 |
|
| D. |
None of these |
A full jar of honey weighs 1000 grams.
With half of the honey, the total weight is 600 grams.
What is the weight of the empty jar in grams?
Which number would replace underline mark in the series?
1, 6, 26,_____, 426.
A.) 86
B.) 76
C.) 106
D.) 96
Four boys and three girls are seated in a row at random. What are the
chances that the two children at the ends of the row will be girls?
On Bagshot Island, there is an airport. The airport is the home-base of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?
Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)
When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 5050 water, and the honey obtained from this nectar contains 1515 water?
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days.
The number of days after which A left the work was
A. 12 C. 10
B. 11 D. 9
The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?
| A. |
13.5 |
|
| B. |
14 |
|
| C. |
15 |
|
| D. |
12.5 |
|
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water? |
| A. |
8 : 3 |
|
| B. |
7 : 5 |
|
| C. |
4 : 3 |
|
| D. |
2 : 3 |
|
Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5? |
| A. |
1 : 7 |
|
| B. |
2 : 9 |
|
| C. |
7 : 9 |
|
| D. |
3 : 8 |
|
Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n? |
| A. |
144 |
|
| B. |
168 |
|
| C. |
192 |
|
| D. |
None of these |
A full jar of honey weighs 1000 grams.
With half of the honey, the total weight is 600 grams.
What is the weight of the empty jar in grams?
Which number would replace underline mark in the series?
1, 6, 26,_____, 426.
A.) 86
B.) 76
C.) 106
D.) 96
Four boys and three girls are seated in a row at random. What are the
chances that the two children at the ends of the row will be girls?
On Bagshot Island, there is an airport. The airport is the home-base of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?
Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)
When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 5050 water, and the honey obtained from this nectar contains 1515 water?
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days.
The number of days after which A left the work was
A. 12 C. 10
B. 11 D. 9
The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?
| A. |
13.5 |
|
| B. |
14 |
|
| C. |
15 |
|
| D. |
12.5 |
|
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water? |
| A. |
8 : 3 |
|
| B. |
7 : 5 |
|
| C. |
4 : 3 |
|
| D. |
2 : 3 |
|
Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5? |
| A. |
1 : 7 |
|
| B. |
2 : 9 |
|
| C. |
7 : 9 |
|
| D. |
3 : 8 |
|
Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n? |
| A. |
144 |
|
| B. |
168 |
|
| C. |
192 |
|
| D. |
None of these |
A full jar of honey weighs 1000 grams.
With half of the honey, the total weight is 600 grams.
What is the weight of the empty jar in grams?
Which number would replace underline mark in the series?
1, 6, 26,_____, 426.
A.) 86
B.) 76
C.) 106
D.) 96
Four boys and three girls are seated in a row at random. What are the
chances that the two children at the ends of the row will be girls?
