Answer to Q97
If 9 is subtracted from the product of p and 4, the result is 11. What is the value of p?
Product of p and 4 = 4p
If 9 is subtracted from the product of p and 4: 4p - 9
4p - 9 = 11
4p = 11 + 9
4p = 20
p = 20 ÷ 4
p = 5
Answer: 5
If 9 is subtracted from the product of p and 4, the result is 11. What is the value of p?
Product of p and 4 = 4p
If 9 is subtracted from the product of p and 4: 4p - 9
4p - 9 = 11
4p = 11 + 9
4p = 20
p = 20 ÷ 4
p = 5
Answer: 5
Answer to Q98
Sally likes 225 but not 224; she likes 900 but not 800; she likes 144 but not 145. Which does she like - 1600 or 1700?
1. Maybe she likes largest numbers?
225 > 224
900 > 800
but 144 < 145
So, no
2. Maybe she likes numbers that adds up to 9?
225 = 2+2+5 = 9
900 = 9+0+0 = 9
144 = 1+4+4 = 9
But 1600 = 1+6+0+0 = 7 and 1700 = 1+7+0+0 = 8
So, no 😔 (so close)
Let's try again, maybe she likes perfect squares
√225 = 15
√900 = 30
√144 = 12
√1600 = 40 and √1700 = 41.2311
We got our answer, she likes perfect squares!
Answer: 1600
Sally likes 225 but not 224; she likes 900 but not 800; she likes 144 but not 145. Which does she like - 1600 or 1700?
1. Maybe she likes largest numbers?
225 > 224
900 > 800
but 144 < 145
So, no
2. Maybe she likes numbers that adds up to 9?
225 = 2+2+5 = 9
900 = 9+0+0 = 9
144 = 1+4+4 = 9
But 1600 = 1+6+0+0 = 7 and 1700 = 1+7+0+0 = 8
So, no 😔 (so close)
Let's try again, maybe she likes perfect squares
√225 = 15
√900 = 30
√144 = 12
√1600 = 40 and √1700 = 41.2311
We got our answer, she likes perfect squares!
Answer: 1600
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%