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?

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)

A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'aa', the number of 5's that he uses is 'bb' and the number of 8's he uses is 'cc'.

What is the value of b+c−ab+c−a?




A set has exactly five consecutive positive integers starting with 1.

What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?



The two positive integers 'pp' and 'qq' satisfy:

dfrac(p+q)t=textHCF(p,q)dfrac(p+q)t=textHCF(p,q).

Which of the following two numbers sum up to 'tt'?

A. 13 and 52

B. 132 and 96

C. 18 and 126

D. 56 and 45



In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

A) 2500    B) 2700
C) 2900    D) 3100

A man can row downstream at the rate of 24 Kmph and upstream at 7 Kmph. Find the man’s rate in still water and rate of current?
A.) 15.5 Kmph, 8.5 Kmph
B.) 17 Kmph, 8.5 Kmph
C.) 814 Kmph, 7 Kmph
D.) None of these

Mr. Red, Mr. Blue, and Mr. Green are sitting at a table.
One man is wearing a red shirt, the second a blue shirt, and the third a green shirt.

Mr. Blue says, "Have you guys noticed how we're all wearing shirts of different colors from our names?"

The man in the green shirt replies, "Yes, Mr. Blue, I just noticed that!"

What is the color of the shirt that Mr. Blue is wearing?

How many times in a day, are the hands of a clock in a straight line but opposite in direction?
A) 20 B) 22
C) 24 D) 48

Can you find the smallest positive number that is divisible by 15 that consists ONLY of ones and zeroes (e.g. 10, 11, 100, etc.)? 

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?

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)

A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'aa', the number of 5's that he uses is 'bb' and the number of 8's he uses is 'cc'.

What is the value of b+c−ab+c−a?




A set has exactly five consecutive positive integers starting with 1.

What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?



The two positive integers 'pp' and 'qq' satisfy:

dfrac(p+q)t=textHCF(p,q)dfrac(p+q)t=textHCF(p,q).

Which of the following two numbers sum up to 'tt'?

A. 13 and 52

B. 132 and 96

C. 18 and 126

D. 56 and 45



In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

A) 2500    B) 2700
C) 2900    D) 3100

A man can row downstream at the rate of 24 Kmph and upstream at 7 Kmph. Find the man’s rate in still water and rate of current?
A.) 15.5 Kmph, 8.5 Kmph
B.) 17 Kmph, 8.5 Kmph
C.) 814 Kmph, 7 Kmph
D.) None of these

Mr. Red, Mr. Blue, and Mr. Green are sitting at a table.
One man is wearing a red shirt, the second a blue shirt, and the third a green shirt.

Mr. Blue says, "Have you guys noticed how we're all wearing shirts of different colors from our names?"

The man in the green shirt replies, "Yes, Mr. Blue, I just noticed that!"

What is the color of the shirt that Mr. Blue is wearing?

How many times in a day, are the hands of a clock in a straight line but opposite in direction?
A) 20 B) 22
C) 24 D) 48

Can you find the smallest positive number that is divisible by 15 that consists ONLY of ones and zeroes (e.g. 10, 11, 100, etc.)? 

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?

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)

A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'aa', the number of 5's that he uses is 'bb' and the number of 8's he uses is 'cc'.

What is the value of b+c−ab+c−a?




A set has exactly five consecutive positive integers starting with 1.

What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?



The two positive integers 'pp' and 'qq' satisfy:

dfrac(p+q)t=textHCF(p,q)dfrac(p+q)t=textHCF(p,q).

Which of the following two numbers sum up to 'tt'?

A. 13 and 52

B. 132 and 96

C. 18 and 126

D. 56 and 45



In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

A) 2500    B) 2700
C) 2900    D) 3100

A man can row downstream at the rate of 24 Kmph and upstream at 7 Kmph. Find the man’s rate in still water and rate of current?
A.) 15.5 Kmph, 8.5 Kmph
B.) 17 Kmph, 8.5 Kmph
C.) 814 Kmph, 7 Kmph
D.) None of these

Mr. Red, Mr. Blue, and Mr. Green are sitting at a table.
One man is wearing a red shirt, the second a blue shirt, and the third a green shirt.

Mr. Blue says, "Have you guys noticed how we're all wearing shirts of different colors from our names?"

The man in the green shirt replies, "Yes, Mr. Blue, I just noticed that!"

What is the color of the shirt that Mr. Blue is wearing?

How many times in a day, are the hands of a clock in a straight line but opposite in direction?
A) 20 B) 22
C) 24 D) 48

Can you find the smallest positive number that is divisible by 15 that consists ONLY of ones and zeroes (e.g. 10, 11, 100, etc.)?