Answer to Q11
Mr. Green has four daughters and each daughter has a brother. How many children does Mr. Green have?
Mr. Green has 4 daughters and the daughters have a brother, that means Mr. Green has 4 daughter and 1 son.
Answer: Five children
Mr. Green has four daughters and each daughter has a brother. How many children does Mr. Green have?
Mr. Green has 4 daughters and the daughters have a brother, that means Mr. Green has 4 daughter and 1 son.
Answer: Five children
Answer to Q12
Figure out the correct code
6 | 8 | 2 - One number correct and placed well
6 | 1 | 4 - One number correct but placed wrongly
2 | 0 | 6 - Two numbers are correct but placed wrongly
7 | 3 | 8 - Nothing correct
8 | 7 | 0 - One number correct but placed wrongly
First clue says 6 | 8 | 2 - One number correct and placed well so we know the correct code will be like one of these 6 _ _, _ 8 _ or _ _ 2
Second clue says 6 | 1 | 4 - One number correct but placed wrongly so we know our code might contain one of 6, 1, or 4 and it won't be at their current positions
Third clue says 2 | 0 | 6 - Two numbers are correct but placed wrongly so we know either 2|0, 0|6 or 2|6 is correct but not in their current positions
Fourth clue says 7 | 3 | 8 - Nothing correct so we know our code can never be _ 8 _ (so we are left with 6 _ _ or _ _ 2)
Fifth clue says 8 | 7 | 0 - One number correct but placed wrongly but from fourth clue we can't have 7 and 8 as part of our code so we know 0 is part of our code
Now we know 0 is part of our code and if we go back to the third clue we now know 0 is one if the two correct numbers and the 0 can't be in the middle position and from fifth clue it can't also be in the last position of our final code so our code is definitely in the format 0 _ _
Going back to first clue we now know 6 _ _ (since that is starting with 6 and not 0) and _ 8 _ (earlier proved) can't be correct so our correct format is _ _ 2 (i.e. 0 _ 2)
Going back to second clue, we now know 6 is out and we are left with either 1 or 4 and since we are now looking for the middle number, we know it can't be 1 so it's definitely 4
Answer: 0|4|2
Figure out the correct code
6 | 8 | 2 - One number correct and placed well
6 | 1 | 4 - One number correct but placed wrongly
2 | 0 | 6 - Two numbers are correct but placed wrongly
7 | 3 | 8 - Nothing correct
8 | 7 | 0 - One number correct but placed wrongly
First clue says 6 | 8 | 2 - One number correct and placed well so we know the correct code will be like one of these 6 _ _, _ 8 _ or _ _ 2
Second clue says 6 | 1 | 4 - One number correct but placed wrongly so we know our code might contain one of 6, 1, or 4 and it won't be at their current positions
Third clue says 2 | 0 | 6 - Two numbers are correct but placed wrongly so we know either 2|0, 0|6 or 2|6 is correct but not in their current positions
Fourth clue says 7 | 3 | 8 - Nothing correct so we know our code can never be _ 8 _ (so we are left with 6 _ _ or _ _ 2)
Fifth clue says 8 | 7 | 0 - One number correct but placed wrongly but from fourth clue we can't have 7 and 8 as part of our code so we know 0 is part of our code
Now we know 0 is part of our code and if we go back to the third clue we now know 0 is one if the two correct numbers and the 0 can't be in the middle position and from fifth clue it can't also be in the last position of our final code so our code is definitely in the format 0 _ _
Going back to first clue we now know 6 _ _ (since that is starting with 6 and not 0) and _ 8 _ (earlier proved) can't be correct so our correct format is _ _ 2 (i.e. 0 _ 2)
Going back to second clue, we now know 6 is out and we are left with either 1 or 4 and since we are now looking for the middle number, we know it can't be 1 so it's definitely 4
Answer: 0|4|2
Answer to Q13
If,
A + A = B
B + B = D
A + D = E
What then is B + D + E
Numbers are been replaced with alphabets here: A = 1, B = 2, etc
1 + 1 = 2 (A + A = B)
So, B + D + E = 2 + 4 + 5 = 11. K is 11th on the list!
Answer: K
If,
A + A = B
B + B = D
A + D = E
What then is B + D + E
Numbers are been replaced with alphabets here: A = 1, B = 2, etc
1 + 1 = 2 (A + A = B)
So, B + D + E = 2 + 4 + 5 = 11. K is 11th on the list!
Answer: K
Answer to Q14
2 + 2 × 🐧 + 2 - 2 - 2 = 0
What is 🐧?
Remember BODMAS - Bracket, Order, Division, Multiplication, Addition, Substraction
So, 2 × 🐧 = 2🐧
We now have 2 + 2🐧 + 2 - 2 - 2 = 0
Collecting like terms 2🐧 = 2 + 2 - 2 - 2
2🐧 = 0
So, 🐧 = 0 ÷ 2 = 0
Answer: 0
2 + 2 × 🐧 + 2 - 2 - 2 = 0
What is 🐧?
Remember BODMAS - Bracket, Order, Division, Multiplication, Addition, Substraction
So, 2 × 🐧 = 2🐧
We now have 2 + 2🐧 + 2 - 2 - 2 = 0
Collecting like terms 2🐧 = 2 + 2 - 2 - 2
2🐧 = 0
So, 🐧 = 0 ÷ 2 = 0
Answer: 0
Answer to Q15
How many seconds are in a year?
What first comes to mind here is that the question is asking for the number of seconds in time in a years, so let's calculate that!
365 days x 24 hours x 60 minutes x 60 seconds = 31,536,000 seconds
That is not in the options so the 21,920,000 was placed there as a bait.
What could the question be asking then? The second of every month i.e. 2nd of January, 2nd of February, etc...
Answer: 12
How many seconds are in a year?
What first comes to mind here is that the question is asking for the number of seconds in time in a years, so let's calculate that!
365 days x 24 hours x 60 minutes x 60 seconds = 31,536,000 seconds
That is not in the options so the 21,920,000 was placed there as a bait.
What could the question be asking then? The second of every month i.e. 2nd of January, 2nd of February, etc...
Answer: 12
Answer to Q16
Before Mount Everest was discovered, what was the highest mountain in the world?
Before and after it was discovered, Mount Everest remains the highest point on Earth.
Answer: Mount Everest
Before Mount Everest was discovered, what was the highest mountain in the world?
Before and after it was discovered, Mount Everest remains the highest point on Earth.
Answer: Mount Everest
Answer to Q17
A lady didn't sleep for 30 days, how do you think she was able to survive that?
Answer: She sleeps by night!
A lady didn't sleep for 30 days, how do you think she was able to survive that?
Answer: She sleeps by night!
Answer to Q18
If 1 + 4 = 5; 2 + 5 = 12 and 3 + 6 = 21
What is 5 + 8 = ?
This is a sequence that follows the pattern x + (x*y), let's check!
1 + 4 = 1+(1x4) = 1 + 4 = 5
2 + 5 = 2+(2x5) = 2 + 10 = 12
3 + 6 = 3+(3x6) = 3 + 18 = 21
So we are right!
5 + 8 = 5+(5x8) = 5 + 40 = 45
Answer: 45
If 1 + 4 = 5; 2 + 5 = 12 and 3 + 6 = 21
What is 5 + 8 = ?
This is a sequence that follows the pattern x + (x*y), let's check!
1 + 4 = 1+(1x4) = 1 + 4 = 5
2 + 5 = 2+(2x5) = 2 + 10 = 12
3 + 6 = 3+(3x6) = 3 + 18 = 21
So we are right!
5 + 8 = 5+(5x8) = 5 + 40 = 45
Answer: 45
Answer to Q19
My brother lives at the reverse of my house number. The difference between our house numbers ends in two. My house number is the lesser number. What is my brother's house number?
We are given two clues here, first the numbers must be the inverse of each other. That is if one is xy the other must be yx.
Second, subtracting the larger from the smaller the difference must end in 2.
This riddle can be solved through guess work and understanding how basic subtraction works.
Following the second clue, some might be tempted to find numbers with difference of 2 e.g. 6 and 4! With these you are saying the numbers are 64 and 46 but 64 - 46 = 18 (that ends with 8 and not 2)
But if you understand how basic subtraction works, you will know that when you start subtraction from left to right and the numerator is less that the denominator, you have to borrow 1 over from the next number! For instance 63 - 75, starting from the left 3 is less than 5 so you borrow 1 from 6 to make the 3 equals 13.
So to solve our riddle what is the lowest number we can make left-most high number (hope that is not confusing?!). That will be 0. Then borrowing one from the next number will make the 0 equals 10 so what can we subtract from 10 to make 2? That's 8! So we have 0 and 8
So is, 80 and 08 our number? Yes 80 - 08 = 72
Next clue says my house number is the lesser number. So my house number is 08
Question: What is my brother's house number?
Answer: 80
[Thanks to @sunkoitis, answer amended]
My brother lives at the reverse of my house number. The difference between our house numbers ends in two. My house number is the lesser number. What is my brother's house number?
We are given two clues here, first the numbers must be the inverse of each other. That is if one is xy the other must be yx.
Second, subtracting the larger from the smaller the difference must end in 2.
This riddle can be solved through guess work and understanding how basic subtraction works.
Following the second clue, some might be tempted to find numbers with difference of 2 e.g. 6 and 4! With these you are saying the numbers are 64 and 46 but 64 - 46 = 18 (that ends with 8 and not 2)
But if you understand how basic subtraction works, you will know that when you start subtraction from left to right and the numerator is less that the denominator, you have to borrow 1 over from the next number! For instance 63 - 75, starting from the left 3 is less than 5 so you borrow 1 from 6 to make the 3 equals 13.
So to solve our riddle what is the lowest number we can make left-most high number (hope that is not confusing?!). That will be 0. Then borrowing one from the next number will make the 0 equals 10 so what can we subtract from 10 to make 2? That's 8! So we have 0 and 8
So is, 80 and 08 our number? Yes 80 - 08 = 72
Next clue says my house number is the lesser number. So my house number is 08
Question: What is my brother's house number?
Answer: 80
[Thanks to @sunkoitis, answer amended]
Answer to Q20
If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?
This is a trick question because many people will assume since it takes 1½ hens 1½ days to make 1½ eggs that it will take 1 hen 1 day to make 1 egg. This is wrong on so many levels!
It's like saying if it takes 2 people 2 days to make 2 cars, it will take 1 person 1 day to make 1 cars. Capital No (and that's why many fell for the answer 36)! It will take 1 person 1 day to make ½ car. Think about it! It will take 1 person 2 days to make 1 car.
Back to question, we have to find out how many eggs 1 hen can make in 1 day.
Well, it will take 1 hen 1½ days to make 1 egg, agreed?
So it will take 1 hen 1 day to make (1 ÷ 1½)eggs
So 6 hens will make 6 x (1 ÷ 1½) eggs in 1 day
And 6 hens will in 6 days make 6 x 6 x (1 ÷ 1½) eggs = 24 eggs
Answer: 24
If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?
This is a trick question because many people will assume since it takes 1½ hens 1½ days to make 1½ eggs that it will take 1 hen 1 day to make 1 egg. This is wrong on so many levels!
It's like saying if it takes 2 people 2 days to make 2 cars, it will take 1 person 1 day to make 1 cars. Capital No (and that's why many fell for the answer 36)! It will take 1 person 1 day to make ½ car. Think about it! It will take 1 person 2 days to make 1 car.
Back to question, we have to find out how many eggs 1 hen can make in 1 day.
Well, it will take 1 hen 1½ days to make 1 egg, agreed?
So it will take 1 hen 1 day to make (1 ÷ 1½)eggs
So 6 hens will make 6 x (1 ÷ 1½) eggs in 1 day
And 6 hens will in 6 days make 6 x 6 x (1 ÷ 1½) eggs = 24 eggs
Answer: 24
Answer to 21
If it takes 2 persons, 2 days to make 2 cars, how many cars can a person make in one day?
Just as explained in the answer to Q20, if it takes 2 persons 2 days to make 2 cars, it will take 1 person 2 days to make 1 car (since the workforce is halved, the product is also halved for the same duration). So a person makes 1 ÷ 2 cars in 1 day
Answer: ½
If it takes 2 persons, 2 days to make 2 cars, how many cars can a person make in one day?
Just as explained in the answer to Q20, if it takes 2 persons 2 days to make 2 cars, it will take 1 person 2 days to make 1 car (since the workforce is halved, the product is also halved for the same duration). So a person makes 1 ÷ 2 cars in 1 day
Answer: ½
Answer to Q22
You know 2 + 2 comes to the same as 2 x 2. Now find a set of three different whole numbers whose sum is equal to their total when multiplied.
That is x + y + z = x × y × z
Answer: 1,2,3 [1 + 2 + 3 = 1 × 2 × 3 = 6]
You know 2 + 2 comes to the same as 2 x 2. Now find a set of three different whole numbers whose sum is equal to their total when multiplied.
That is x + y + z = x × y × z
Answer: 1,2,3 [1 + 2 + 3 = 1 × 2 × 3 = 6]
Answer to Q23
A small number of cards has been lost from a complete pack. If I deal among 5 people, 2 cards remain. If I deal among 3 people, 1 remain and if I deal among 2 people, 1 cards remain. How many cards are there?
We already know the range of number we are looking for, a number less than 52 (a complete pack of cards). This number must fulfil all these following conditions
1. When divided by 5 it must have a remainder of 2 (clue 1)
2. When divided by 3 it must have a remainder of 1 (clue 2)
3. When divided by 2 it must have a remainder of 1 (clue 3)
We can now find this number via trial and error, but let's first list out all numbers with remainder 2 when divided by 5 between 1 and 51
47, 42, 37, 32, 27, 22, 17, 12, and 7
Testing 47 with clue 2 and 3
Clue 2: 47 ÷ 3 = 15 Rem 2 (so 47 is not correct)
Testing 42 with clue 2 and 3
Clue 2: 42 ÷ 3 = 14 Rem 0 (so 42 is not correct)
Testing 37 with clue 2 and 3
Clue 2: 37 ÷ 3 = 12 Rem 1
Clue 3: 37 ÷ 3 = 18 Rem 1
Fulfilled all 3 clues!
Answer: 37
A small number of cards has been lost from a complete pack. If I deal among 5 people, 2 cards remain. If I deal among 3 people, 1 remain and if I deal among 2 people, 1 cards remain. How many cards are there?
We already know the range of number we are looking for, a number less than 52 (a complete pack of cards). This number must fulfil all these following conditions
1. When divided by 5 it must have a remainder of 2 (clue 1)
2. When divided by 3 it must have a remainder of 1 (clue 2)
3. When divided by 2 it must have a remainder of 1 (clue 3)
We can now find this number via trial and error, but let's first list out all numbers with remainder 2 when divided by 5 between 1 and 51
47, 42, 37, 32, 27, 22, 17, 12, and 7
Testing 47 with clue 2 and 3
Clue 2: 47 ÷ 3 = 15 Rem 2 (so 47 is not correct)
Testing 42 with clue 2 and 3
Clue 2: 42 ÷ 3 = 14 Rem 0 (so 42 is not correct)
Testing 37 with clue 2 and 3
Clue 2: 37 ÷ 3 = 12 Rem 1
Clue 3: 37 ÷ 3 = 18 Rem 1
Fulfilled all 3 clues!
Answer: 37
Answer to Q24
A whole block is balance on a scale with ⅓kg weight plus ⅓ of another identical block. What is the weight of the whole block?
Let weight of whole block be x
Then we can rewrite the question as: x = ⅓ + ⅓x
Collecting like terms, x - ⅓x = ⅓
That can be rewritten as (3x -x) ÷ 3 = ⅓
Cross multiplying: 3(2x) = 3
6x = 3
Dividing through by 6
x = 3 ÷ 6
x = ½
Answer: ½
A whole block is balance on a scale with ⅓kg weight plus ⅓ of another identical block. What is the weight of the whole block?
Let weight of whole block be x
Then we can rewrite the question as: x = ⅓ + ⅓x
Collecting like terms, x - ⅓x = ⅓
That can be rewritten as (3x -x) ÷ 3 = ⅓
Cross multiplying: 3(2x) = 3
6x = 3
Dividing through by 6
x = 3 ÷ 6
x = ½
Answer: ½
Answer to Q25
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sistes are there in the family?
This can actually be solved using mathematical equations. It's mosre or less like word problem!
Let the number of girls be x
Let the number of boys be y
A girl has as many brothers as sisters
So, x - 1 = y
each brother has only half as many brothers as sisters
So, y - 1 = x ÷ 2 we can rewrite this as 2(y - 1) = x
Putting x = 2(y - 1) into x - 1 = y
2y - 2 - 1 = y
Collecting like terms
2y - y = 2 + 1
y = 3
Putting y = 3 into x - 1 = y
x - 1 = 3
x = 3 + 1 = 4
So, x = 4; y = 3
Answer: 4 sisters, 3 brothers
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sistes are there in the family?
This can actually be solved using mathematical equations. It's mosre or less like word problem!
Let the number of girls be x
Let the number of boys be y
A girl has as many brothers as sisters
So, x - 1 = y
each brother has only half as many brothers as sisters
So, y - 1 = x ÷ 2 we can rewrite this as 2(y - 1) = x
Putting x = 2(y - 1) into x - 1 = y
2y - 2 - 1 = y
Collecting like terms
2y - y = 2 + 1
y = 3
Putting y = 3 into x - 1 = y
x - 1 = 3
x = 3 + 1 = 4
So, x = 4; y = 3
Answer: 4 sisters, 3 brothers
Answer to Q26
If x is an integer and 2.134(10^x) is less than 210,000. What is the greatest possible value for x?
Remember the logarithm rule: if x^y = z then logz ÷ log x = y!
Our question says 2.134 x 10^x < 210,000
10^x < 210,000 ÷ 2.134
10^x < 98,406.748
So following our logarithm rule, x < log 98,406.748 ÷ log 10
x < 4.99
So flooring 4.99 = 4
Answer: 4
If x is an integer and 2.134(10^x) is less than 210,000. What is the greatest possible value for x?
Remember the logarithm rule: if x^y = z then logz ÷ log x = y!
Our question says 2.134 x 10^x < 210,000
10^x < 210,000 ÷ 2.134
10^x < 98,406.748
So following our logarithm rule, x < log 98,406.748 ÷ log 10
x < 4.99
So flooring 4.99 = 4
Answer: 4
Answer to Q27
John spent 40% of his earnings last month on rent and 30% less than what he spent on rent to purchase a new dishwasher. What percent of last month's earnings did John have left over?
Let John's salary be x
Rent = 40% of x = 40 ÷ 100 x = 0.4x
Dishwasher = 70% of rent (i.e. 30% less than) = 70 ÷ 100 (0.4x) = 0.7 x 0.4x = 0.28x
Total money spent = 0.4x + 0.28x = 0.68x
So John spent 0.68x100% of his salary = 68%
What is remaining = 100% - 68% = 32%
Answer: 32%
John spent 40% of his earnings last month on rent and 30% less than what he spent on rent to purchase a new dishwasher. What percent of last month's earnings did John have left over?
Let John's salary be x
Rent = 40% of x = 40 ÷ 100 x = 0.4x
Dishwasher = 70% of rent (i.e. 30% less than) = 70 ÷ 100 (0.4x) = 0.7 x 0.4x = 0.28x
Total money spent = 0.4x + 0.28x = 0.68x
So John spent 0.68x100% of his salary = 68%
What is remaining = 100% - 68% = 32%
Answer: 32%
Answer to Q28
What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great man, while the entire world signifies a great woman. What is the word?
Clue 1: first two words signify a male (HE)
Clue 2: first three words signify a female (HER)
Clue 3: first four words signify a great male (HERO)
Clue 4: whole word signify a great woman (HEROINE)
Not heroin, heroin is a drug!
Answer: HEROINE
What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great man, while the entire world signifies a great woman. What is the word?
Clue 1: first two words signify a male (HE)
Clue 2: first three words signify a female (HER)
Clue 3: first four words signify a great male (HERO)
Clue 4: whole word signify a great woman (HEROINE)
Not heroin, heroin is a drug!
Answer: HEROINE
Answer to Q29
It is possible for an English word to have three consecutive double letters? If it's possible, what is that word?
Yes it is possible and there are several words that fit this e.g. Bookkeeper, Bookkeeping, Tattooee, Balloonning, etc
Committee is however not one as the m and t are not consecutive.
It is possible for an English word to have three consecutive double letters? If it's possible, what is that word?
Yes it is possible and there are several words that fit this e.g. Bookkeeper, Bookkeeping, Tattooee, Balloonning, etc
Committee is however not one as the m and t are not consecutive.
Answer to Q30
How can four be twice of five?
Answer: The number of their digits when written in Roman Numerals
Four - IV (2 digits)
Five - V (1 digit)
How can four be twice of five?
Answer: The number of their digits when written in Roman Numerals
Four - IV (2 digits)
Five - V (1 digit)
👍2
Answer to Q31
How can you get 30 by placing the balls into the boxes in the following equation?
Answer: 13 + 11 + 6 (that is not a 9 ball but a 6 ball facing up side down)
How can you get 30 by placing the balls into the boxes in the following equation?
Answer: 13 + 11 + 6 (that is not a 9 ball but a 6 ball facing up side down)