Answer to Q99:
What number is one fifth of one fourth of one ninth of 900?
This is actually a no brainer:
one ninth of 900 = 900÷9 = 100
one fourth of that is = 100 ÷ 4 = 25
one fifth of that is = 25 ÷ 5 = 5
Answer: 5
What number is one fifth of one fourth of one ninth of 900?
This is actually a no brainer:
one ninth of 900 = 900÷9 = 100
one fourth of that is = 100 ÷ 4 = 25
one fifth of that is = 25 ÷ 5 = 5
Answer: 5
Answer to Q100
Two men, starting at the same point, walk in opposite directions for 4 meters, turn left and walk another 3 meters. What is the distance between them?
So they started at the same point and walked in opposite direction for 4 meters. This means they are not 8 meters apart.
They turned left and walked another 3 meters. For them to both turn left, that means one is turning to the north and the other to the south. (See the rough sketch above).
To find the distance between them, we can take the triangle ASD, find AS and multiply by 2.
AS² = DS² + DA²
AS² = 4² + 3²
AS² = 16 + 9
AS² = 25
AS = √25
AS = 5
So, distance between them is 5 x 2 = 10
Answer: 10
Two men, starting at the same point, walk in opposite directions for 4 meters, turn left and walk another 3 meters. What is the distance between them?
So they started at the same point and walked in opposite direction for 4 meters. This means they are not 8 meters apart.
They turned left and walked another 3 meters. For them to both turn left, that means one is turning to the north and the other to the south. (See the rough sketch above).
To find the distance between them, we can take the triangle ASD, find AS and multiply by 2.
AS² = DS² + DA²
AS² = 4² + 3²
AS² = 16 + 9
AS² = 25
AS = √25
AS = 5
So, distance between them is 5 x 2 = 10
Answer: 10
Answer to Q101
If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
Let x be our current time and a whole day is 24 hours.
If it were two hours later (x + 2), it would be half (½) as long until midnight (24) as it would be if it were an hour later (x + 1).
So,
24 - (x + 2) = ½(24 - (x + 1))
24 - x - 2 = ½ (24 - x - 1)
48 - 2x - 4 = 24 - x - 1
48 - 24 - 4 + 1 = -x + 2x
21 = x
So, 21:00hrs is same as 21 - 12 = 9pm
Answer: 9pm
If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
Let x be our current time and a whole day is 24 hours.
If it were two hours later (x + 2), it would be half (½) as long until midnight (24) as it would be if it were an hour later (x + 1).
So,
24 - (x + 2) = ½(24 - (x + 1))
24 - x - 2 = ½ (24 - x - 1)
48 - 2x - 4 = 24 - x - 1
48 - 24 - 4 + 1 = -x + 2x
21 = x
So, 21:00hrs is same as 21 - 12 = 9pm
Answer: 9pm
Answer to Q102
Tom has a new set of golf clubs. Using a club 8, the ball travels a distance of 100m. Using a club 7, the ball travels a distance of 108m. Using a club 6, the ball travels a distance of 114m. How far will the ball go if Tom uses club 5?
When he used club 8, the ball travelled 100m and club 7, the ball travelled 108m. That is an 8m increase in distance.
When he used clue 6 however, the ball travelled 114m, that is a 6m increase in distance from when he used club 7. So we can say the distance between each club set increases with a decrease of 2 from the previous increase (I just hope that is clear enough for every one 🤔).
When he uses club 5, there will be a 6m - 2m = 4m increase to the previous distance. 114m + 4m = 118m.
Answer: 118m
Tom has a new set of golf clubs. Using a club 8, the ball travels a distance of 100m. Using a club 7, the ball travels a distance of 108m. Using a club 6, the ball travels a distance of 114m. How far will the ball go if Tom uses club 5?
When he used club 8, the ball travelled 100m and club 7, the ball travelled 108m. That is an 8m increase in distance.
When he used clue 6 however, the ball travelled 114m, that is a 6m increase in distance from when he used club 7. So we can say the distance between each club set increases with a decrease of 2 from the previous increase (I just hope that is clear enough for every one 🤔).
When he uses club 5, there will be a 6m - 2m = 4m increase to the previous distance. 114m + 4m = 118m.
Answer: 118m
Answer to Q103
2, 3, 5, 7, 11, X
This is just a list of prime numbers, next prime number is 13
Answer: 13
PS: to those that choose 17, you went by
3 + 5 - 1 = 7
5 + 7 - 1 = 11
7 + 11 - 1 = 17
But, see it doesn't work for 2 + 3 - 1 which is 4 and not 5, that's how you should know 17 can't be the answer.
2, 3, 5, 7, 11, X
This is just a list of prime numbers, next prime number is 13
Answer: 13
PS: to those that choose 17, you went by
3 + 5 - 1 = 7
5 + 7 - 1 = 11
7 + 11 - 1 = 17
But, see it doesn't work for 2 + 3 - 1 which is 4 and not 5, that's how you should know 17 can't be the answer.
Answer to Q104
If triangle is 3,cube is 4 square is 4 and pentagon is 5, what is circle?
The question is counting the number of corners obviously. Triangle has 3 corners,cube square has 4 corners and pentagon has 5 corners.
The circle however has no corner so the answer is 0
Answer: 0
PS: For those that chose 360 and 2π (just 360 degrees in radians)!
If 360 or 2π is to be the answer (the total angle in a circle), then triangle should be 180,cube square 360 and pentagon 540.
If triangle is 3,
The question is counting the number of corners obviously. Triangle has 3 corners,
The circle however has no corner so the answer is 0
Answer: 0
PS: For those that chose 360 and 2π (just 360 degrees in radians)!
If 360 or 2π is to be the answer (the total angle in a circle), then triangle should be 180,
Answer to Q105
13,6,2 = 20 and 4,9,5 = 11 and 9,2,3 = 25 and 15,5,4 = ?
A,B,C = D
A x C - B = D
For example:
13 x 2 - 6 = 20
4 x 5 - 9 = 11
9 x 3 - 2 = 25
So,
15 x 4 - 5 = 55
Answer: 55
13,6,2 = 20 and 4,9,5 = 11 and 9,2,3 = 25 and 15,5,4 = ?
A,B,C = D
A x C - B = D
For example:
13 x 2 - 6 = 20
4 x 5 - 9 = 11
9 x 3 - 2 = 25
So,
15 x 4 - 5 = 55
Answer: 55
Answer to Q106
59 = 20, 8 = 3, 20 = 7, 29 = ?
A = B
(A+1)÷3 = B
(59+1)÷3 = 20
(8+1)÷3 = 3
(20+1)÷3 = 7
So, (29+1)÷3 = 10
Answer: 10
59 = 20, 8 = 3, 20 = 7, 29 = ?
A = B
(A+1)÷3 = B
(59+1)÷3 = 20
(8+1)÷3 = 3
(20+1)÷3 = 7
So, (29+1)÷3 = 10
Answer: 10
Answer to Q107
Divide 30 by ½ and add 10. What's the answer?
(30 ÷ ½) + 10
This can be rewritten as:
(30 x 2) + 10 [note that "a ÷ b = a x 1/b" and "a ÷ 1/b = a x b"]
= 60 + 10
= 70
Answer: 70
Divide 30 by ½ and add 10. What's the answer?
(30 ÷ ½) + 10
This can be rewritten as:
(30 x 2) + 10 [note that "a ÷ b = a x 1/b" and "a ÷ 1/b = a x b"]
= 60 + 10
= 70
Answer: 70
Answer to Q108
There is a one-story building in which everything is blue. Blue walls, blue doors, blue floors. What's the colour of the stairs?
Pick the appropriate answer!
The appropriate answer to the question is "wait what?", why?
1. One storey buildings don't have stairs.
2. Well, some people are going to come up and say "what if it has a roof balcony". Then read very well, the question says "one story" not "one storey". Double wait what.
Answer: Wait what?
There is a one-story building in which everything is blue. Blue walls, blue doors, blue floors. What's the colour of the stairs?
Pick the appropriate answer!
The appropriate answer to the question is "wait what?", why?
1. One storey buildings don't have stairs.
2. Well, some people are going to come up and say "what if it has a roof balcony". Then read very well, the question says "one story" not "one storey". Double wait what.
Answer: Wait what?
Answer to Q109
A man had 10⅔kg of onions and sold ⅔ of it. How much does he have left?
If 10kg is your answer, you are so wrong. The question didn't say he sold ⅔kg of the onions, he sold ⅔ of the entire onions.
So how much is ⅔ of 10⅔:
10⅔ = ³²⁄₃
⅔ of that
³²⁄₃ x ⅔
64 ÷ 9
= 7⅑
But wait, that's not what the question asked, the question was how much he had left, not how much he sold.
So how much he had left will be (10⅔ - 7⅑) or simply (⅓ of 10⅔) [you will arrive at the same answer either way].
so, ⅓ of 10⅔:
³²⁄₃ x ⅓
32 ÷ 9
= 3⁵⁄₉
Answer: 3⁵⁄₉
I spotted the error in the options after several people have voted so I decided to leave it in because whoever got the correct answer should know it was just an error.
A man had 10⅔kg of onions and sold ⅔ of it. How much does he have left?
If 10kg is your answer, you are so wrong. The question didn't say he sold ⅔kg of the onions, he sold ⅔ of the entire onions.
So how much is ⅔ of 10⅔:
10⅔ = ³²⁄₃
⅔ of that
³²⁄₃ x ⅔
64 ÷ 9
= 7⅑
But wait, that's not what the question asked, the question was how much he had left, not how much he sold.
So how much he had left will be (10⅔ - 7⅑) or simply (⅓ of 10⅔) [you will arrive at the same answer either way].
so, ⅓ of 10⅔:
³²⁄₃ x ⅓
32 ÷ 9
= 3⁵⁄₉
Answer: 3⁵⁄₉
I spotted the error in the options after several people have voted so I decided to leave it in because whoever got the correct answer should know it was just an error.
Answer to Q110
What can you hold in your left hand but not in your right hand?
The only thing you can hold in your left hand and can't hold in your right hand is of course YOUR OWN right hand. Not just right hand because you can hold someone else's right hand.
Answer: Your own right hand
What can you hold in your left hand but not in your right hand?
The only thing you can hold in your left hand and can't hold in your right hand is of course YOUR OWN right hand. Not just right hand because you can hold someone else's right hand.
Answer: Your own right hand
Answer to Q111
I am an odd number but when you remove a letter from me, I become even. What am I?
I am an odd number but when you remove a letter from me: This alone shows the number is spelt in words and not in digits so can't be like 127 or 349 or etc
I become even: so I have to add a letter to "even" to make it a number. Seven!
Answer: Seven
I am an odd number but when you remove a letter from me, I become even. What am I?
I am an odd number but when you remove a letter from me: This alone shows the number is spelt in words and not in digits so can't be like 127 or 349 or etc
I become even: so I have to add a letter to "even" to make it a number. Seven!
Answer: Seven
Answer to Q112
What is the height of the table (see above picture)
There are 3 element here, the table, the cat and the tortoise. So let
i. height of table = A
ii. height of cat = B
iii. height of tortoise = C
From the picture, we can say;
A + B - C = 34 (eqn 1)
A + C - B = 26 (eqn 2)
so we have three unknows but just two equations, no problem since all we have to do is solve for A
from eqn 1, we can say;
B = 34 - A + C (eqn 3)
put eqn 3 into eqn 2
A + C - (34 - A + C) = 26
A + C - 34 + A - C = 26
2A - 34 = 26
2A = 26 + 34
2A = 60
A = 30
so, height of table is 30 inches
Answer: 30
What is the height of the table (see above picture)
There are 3 element here, the table, the cat and the tortoise. So let
i. height of table = A
ii. height of cat = B
iii. height of tortoise = C
From the picture, we can say;
A + B - C = 34 (eqn 1)
A + C - B = 26 (eqn 2)
so we have three unknows but just two equations, no problem since all we have to do is solve for A
from eqn 1, we can say;
B = 34 - A + C (eqn 3)
put eqn 3 into eqn 2
A + C - (34 - A + C) = 26
A + C - 34 + A - C = 26
2A - 34 = 26
2A = 26 + 34
2A = 60
A = 30
so, height of table is 30 inches
Answer: 30
Answer to Q113
There are 50 dogs signed up for a competition. However, there are 36 more small dogs than large dogs signed to compete.
How many small dogs were signed up?
Let large dogs be L,
Let small dogs be S,
There are 50 dogs signed up for a competition
L + S = 50 (eqn 1)
However, there are 36 more small dogs than large dogs
S = L + 36 (eqn 2)
put eqn 2 into eqn 1
L + L + 36 = 50
2L = 50 - 36
2L = 14
L = 7
But the question was, How many small dogs were signed up?
put L = 7 into eqn 2
S = 7 + 36
S = 43
There are 43 small dogs and 7 large dogs
Answer: 43
There are 50 dogs signed up for a competition. However, there are 36 more small dogs than large dogs signed to compete.
How many small dogs were signed up?
Let large dogs be L,
Let small dogs be S,
There are 50 dogs signed up for a competition
L + S = 50 (eqn 1)
However, there are 36 more small dogs than large dogs
S = L + 36 (eqn 2)
put eqn 2 into eqn 1
L + L + 36 = 50
2L = 50 - 36
2L = 14
L = 7
But the question was, How many small dogs were signed up?
put L = 7 into eqn 2
S = 7 + 36
S = 43
There are 43 small dogs and 7 large dogs
Answer: 43
Answer to Q114:
⅓ ÷ (⁷⁄₂ + ½)
With BODMAS we start with the Bracket:
(⁷⁄₂ + ½)
= ⁸⁄₂
= 4
⅓ ÷ 4
= ⅓ ÷ ⁴⁄₁
= ⅓ x ¼ [a ÷ b = a x ¹⁄b]
= ¹⁄₁₂
Answer: ¹⁄₁₂
There was an error in the options obviously, the first option was to be ¹⁄₁₂ and not 12
⅓ ÷ (⁷⁄₂ + ½)
With BODMAS we start with the Bracket:
(⁷⁄₂ + ½)
= ⁸⁄₂
= 4
⅓ ÷ 4
= ⅓ ÷ ⁴⁄₁
= ⅓ x ¼ [a ÷ b = a x ¹⁄b]
= ¹⁄₁₂
Answer: ¹⁄₁₂
There was an error in the options obviously, the first option was to be ¹⁄₁₂ and not 12
Answer to Q115:
10 - 2 x 4 ÷ 2 + 1
According to BODMAS (Bracket Order Division Multiplication Addition Subtraction), we have to attend to the Division first.
4 ÷ 2 = 2
So, it becomes
10 - 2 x 2 + 1
So we do the multiplication
- 2 x 2 = -4
So we have
10 - 4 + 1
So we do the addition
-4 + 1 = -3
So, we have
10 - 3 = 7
Answer: 7
10 - 2 x 4 ÷ 2 + 1
According to BODMAS (Bracket Order Division Multiplication Addition Subtraction), we have to attend to the Division first.
4 ÷ 2 = 2
So, it becomes
10 - 2 x 2 + 1
So we do the multiplication
- 2 x 2 = -4
So we have
10 - 4 + 1
So we do the addition
-4 + 1 = -3
So, we have
10 - 3 = 7
Answer: 7
Answer to Q116
How many people is "two pairs of twins twice"?
A twin is one person (that is, one of the two persons born at the same time).
Twins are the two persons born at the same time and same is pair of twins. Pair of twins or set of twins (actually pair of twins is more commonly used) are 2 people.
Two pairs of twins is then 2 x 2 which is 4.
Twice is then 2 x 4 which is 8.
Answer: 8
How many people is "two pairs of twins twice"?
A twin is one person (that is, one of the two persons born at the same time).
Twins are the two persons born at the same time and same is pair of twins. Pair of twins or set of twins (actually pair of twins is more commonly used) are 2 people.
Two pairs of twins is then 2 x 2 which is 4.
Twice is then 2 x 4 which is 8.
Answer: 8
Answer to Q117
A pencil with a pentagonal cross section has the maker's logo imprinted on one of its five faces. If the pencil is rolled on the table, what is the probability that it stops with the logo facing directly up?
Above is the diagram of a pencil with a pentagonal cross section. When you roll the pencil, it will always stop on it flat side with the corner point up. The makers logo will never be pointing DIRECTLY up.
Probability of the makers logo pointing directly up is therefore zero.
Answer: 0%
A pencil with a pentagonal cross section has the maker's logo imprinted on one of its five faces. If the pencil is rolled on the table, what is the probability that it stops with the logo facing directly up?
Above is the diagram of a pencil with a pentagonal cross section. When you roll the pencil, it will always stop on it flat side with the corner point up. The makers logo will never be pointing DIRECTLY up.
Probability of the makers logo pointing directly up is therefore zero.
Answer: 0%
Answer to Q118
A visitor points to a portrait on the wall and asks who it is. "Brothers and sisters have I none" says the host, "but that man's father is my father's son".
Who is in the picture?
Let start with "Brothers and sisters have I none", this simply means the host does not have any brother or sister. Agreed?
Then he said "my father's son", but remember he does not have any brother and sister, so he's father son is basically him, you agree with that? Good! So we can replace "my father's son" with "me" in that statement.
"Brothers and sisters have I none, but that man's father is me".
But the first phrase "Brothers and sisters have I none," has served it purpose so we can remove it, the statement becomes:
"but that man's father is me" simplified, it becomes "That man's father is me"
"That man's father is me"
Obviously, he is talking about his own son.
Answer: The Host's Son
A visitor points to a portrait on the wall and asks who it is. "Brothers and sisters have I none" says the host, "but that man's father is my father's son".
Who is in the picture?
Let start with "Brothers and sisters have I none", this simply means the host does not have any brother or sister. Agreed?
Then he said "my father's son", but remember he does not have any brother and sister, so he's father son is basically him, you agree with that? Good! So we can replace "my father's son" with "me" in that statement.
"Brothers and sisters have I none, but that man's father is me".
But the first phrase "Brothers and sisters have I none," has served it purpose so we can remove it, the statement becomes:
"but that man's father is me" simplified, it becomes "That man's father is me"
"That man's father is me"
Obviously, he is talking about his own son.
Answer: The Host's Son
Answer to Q119
One bottle contains 100 liters of wine, another 100 liters of water. Ten liters of wine is moved from the wine bottle to the water bottle and properly mixed in. Ten liters of the mixture is then moved from the water bottle to the wine bottle.
Which of the below statement is correct?
Wine bottle = 100 liters
Water bottle = 100 liters
Ten liters of wine is moved from the wine bottle to the water bottle and properly mixed in.
Now,
Wine bottle is 90 liters
Water bottle is 110 liters
But water bottle contains 100 liters of water and 10 liters of wine. That is ratio 100:10 which is same as 10:1
Ten liters of the mixture is then moved from the water bottle to the wine bottle.
10 liters of the mixture at ratio 10:1 will contain the following
Water = (10 ÷ 11) x 10 liters = 9.09 liters
Wine = (1 ÷ 11) x 10 liters = 0.91 liters
What's now in the wine bottle?
Wine bottle previously had 90 liters of wine.
Then mixture of 0.91 liters of wine and 9.09 liters water was added to it
So it now has 90 + 0.91 = 90.91 liters of wine
What's now in the water bottle?
Water bottle previously had 110 liters of mixture which was 100 liters of water and 10 liters of wine.
Then mixture of 0.91 liters of wine and 9.09 liters water was removed from it.
So it now has 100 - 9.09 = 90.91 liters of water
So, we have 90.91 liters of wine in the wine bottle and 90.91 liters of water in the water bottle.
Answer: There are the same amount of water in the water bottle as wine in the wine bottle!
One bottle contains 100 liters of wine, another 100 liters of water. Ten liters of wine is moved from the wine bottle to the water bottle and properly mixed in. Ten liters of the mixture is then moved from the water bottle to the wine bottle.
Which of the below statement is correct?
Wine bottle = 100 liters
Water bottle = 100 liters
Ten liters of wine is moved from the wine bottle to the water bottle and properly mixed in.
Now,
Wine bottle is 90 liters
Water bottle is 110 liters
But water bottle contains 100 liters of water and 10 liters of wine. That is ratio 100:10 which is same as 10:1
Ten liters of the mixture is then moved from the water bottle to the wine bottle.
10 liters of the mixture at ratio 10:1 will contain the following
Water = (10 ÷ 11) x 10 liters = 9.09 liters
Wine = (1 ÷ 11) x 10 liters = 0.91 liters
What's now in the wine bottle?
Wine bottle previously had 90 liters of wine.
Then mixture of 0.91 liters of wine and 9.09 liters water was added to it
So it now has 90 + 0.91 = 90.91 liters of wine
What's now in the water bottle?
Water bottle previously had 110 liters of mixture which was 100 liters of water and 10 liters of wine.
Then mixture of 0.91 liters of wine and 9.09 liters water was removed from it.
So it now has 100 - 9.09 = 90.91 liters of water
So, we have 90.91 liters of wine in the wine bottle and 90.91 liters of water in the water bottle.
Answer: There are the same amount of water in the water bottle as wine in the wine bottle!