ANALYSIS
There are 9 children in a class and each knows a different piece of a short story. They are allowed to exchange what they know via email.
What is the minimum number of emails requjired to enable each child to know the whole story?
a) 20
b) 16
c) 22
d) 18
b) 16
What time is 4321 seconds before midnight?
a) 10:49:59
b) 10:48:59
c) 10:48:01
d) 10:47:59
d) 10:47:59
If I remove one I get one more. What do I have at the beginning?
a) Eight
b) Three
c) Seven
d) Four
d) Four
Mario has 44 lives remaining and 9 levels to complete. He loses one life on the first level.
He loses one life more than on the previous level on each level he completes.
How many lives will he have left after completing the 9 levels?
a) He does not complete all levels.
b) 9 lives
c) None
d) 10 lives
a) He does not complete all levels.
A grandmother prepared bowls of fruit for her family. The only fruits available to her were cherries, apricots and red currants. Of course no bowl was empty and each bowl contained one kind of fruit.
All but five bowls contain some cherries, all but four contain some apricots, and all but three contain some red currants.
How many bowls were at the dinner?
a) 6
b) 8
c) 10
d) 12
a) 6
A boy begins walking from his starting point. Each hour, he either walks one kilometer to the east or one kilometer to the north,but he never walks in the same direction as he did in the previous hour.
In how many different ways can he get to a point that is 8 kilometers in the north and 8 kilometers in the east of his starting point?
a)16
b)2
c)256
d)64
b)2
A district sends, on average, a total of 205 million gallons of water each month to its 20,000 residential customers.
In the winter months, it sends an average of 100 million gallons per month.
Assuming the winter period lasts three months, what is the average number of gallons sent to each person in each non winter month?
a) 6,000 gallons
b) 12,000 gallons
c) 24,000 gallons
d) 3,000 gallons
b) 12,000 gallons
There are 19 stones in the third ring, 26 stones in the fourth ring, 33 stones in the fifth ring, and 39 stones in the sixth ring.
Estimate the number of stones in the tenth ring.
a) 59 stones
b) 69 stones
c) 63 stones
d) 73 stones
c) 63 stones
A 3 kg cat is standing still on all four legs with its weight evenly distributed between its legs. For no clearly defined reason it lifts one paw off the ground and stands still on just three legs, again with a uniform distribution of weight.
What was the change of weight passing through one of the paws still in contact with the ground?
a) increase of 1 kg
b) increase of 1/4 kg
c) decrease of 1 kg
d) decrease of 1/3 kg
b) increase of 1/4 kg
Xia and Yvonne collect buttons.
Xia only collects the ones with two holes and Yuonne only collects the ones with four holes.
Xia has 10 more buttons than does Yvonne.
The total number of holes found in all of their buttons is 110.
How many buttons do they have?
a) 50
b) 60
c) 40
d) 30
c) 40
If A + B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
a) Q - N + M x P
b) P + S x N - Q
c) P - M + N x Q
d) Q - S % P
c) P - M + N x Q
There are 10 coins and 5 of them are fake.
The real gold coins have the same weight, while all fake coins have different weights and each fake coin is lighter than a real one.
How many times do you use a balance to find all real coins?
Find the best strategy and the least possible number of weighings in the worst case.
a) 7
b) 10
c) 9
d) 11
a) 7
Gerry places 78 cherries in a line.
First day he eats every seventh cherry in the line.
Next day he eats every sixth cherry in the line.
Next day he eats every fifth cherry in the line.
Next day he eats every fourth cherry in the line.
Next day he eats every third cherry in the line.
Next day he eats every second cherry in the line.
Next day he eats all the cherries that are left.
On which day does Gerry eat more cherries?
a) the second day
b) the last day
c) the first day
d) the day before the last day
b) the last day
Weighing a hyperactive boy was a big family problem.
His father held the boy and stood on the scales while mother read off 88 kg.
Then mother held the boy while father read off 66 kg.
Then father held beloved mother while the boy read off 144 kg.
What was the combined weight of the family?
a) 148 kg
b) 145 kg
c) 149 kg
d) 144 kg
c) 149 kg
If 12 workers take 7 hours to build a brick wall 21 m long and 4 m high, how long will it take 11 workers to build a brick wall 1 m longer and 1 m higher?
a) 10 hours
b) 9 hours
c) 8 hours
d) 12 hours
a) 10 hours
A concert includes 3 cello pieces and 3 piano pieces.
In how many ways can the program be arranged if a piano piece must come last?
a) 60
b) 360
c) 600
d) 30
b) 360
John and Mary have square tiles with sizes 2 cm by 2 cm, 4 cm by 4 cm, 6 cm by 6 cm and so on.
Their kitchen is a rectangular room with a 224 cm by 288 cm surface.
What is the minimum number of tiles of the same size required to completely cover the surface without cutting the tiles?
a) 64 tiles
b) 63 tiles
c) 256 tiles
d) 128 tiles
b) 63 tiles
The number of hours left today is half of the number of hours already passed.
What time is it?
a) 8:00 a.m
b) 12:00
c) 14:00
d) 4:00 p.m
d) 4:00 p.m
Bob shaves himself 3 minutes every day including the weekends.
If he starts shaving at the age of 20 and lives 70 years, what is the total amount of time spent shaving?
a) 38 days
b) 48 days
c) 28 days
d) 18 days
a) 38 days
Sixty-five students want to share 15 melons.
They decide that four boys will share a melon, and five girls will share a melon.
How many girls are there?
a) 30 girls
b) 20 girls
c) 25 girls
d) 33 girls
c) 25 girls