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)
Answer to Q32
Please use all the numbers and equation marks only once and do the correct equation.
2345+=
Answer: 5 + 4 = 3²
Please use all the numbers and equation marks only once and do the correct equation.
2345+=
Answer: 5 + 4 = 3²
Answer to Q33
It's dark. You have ten grey boxes and ten blue boxes and you want a pair of the same colour. All boxes are exactly the same except for their colour. How many boxes would you need to take with you to ensure you had at least a pair?
To ensure you select a pair of boxes of the same colour, the total number of boxes you need to select is 3 because with 3 boxes you get 3 grey boxes or 3 blue boxes or 2 grey boxes and 1 blue box or 1 grey box and 2 blue boxes. Either ways, you have atleast 2 boxes of same colour
Answer: 3
It's dark. You have ten grey boxes and ten blue boxes and you want a pair of the same colour. All boxes are exactly the same except for their colour. How many boxes would you need to take with you to ensure you had at least a pair?
To ensure you select a pair of boxes of the same colour, the total number of boxes you need to select is 3 because with 3 boxes you get 3 grey boxes or 3 blue boxes or 2 grey boxes and 1 blue box or 1 grey box and 2 blue boxes. Either ways, you have atleast 2 boxes of same colour
Answer: 3
Answer to Q34
At a party, everyone shook hands with everybody else. There were 4005 handshakes. How many people were at the party?
The number of handshakes between people is always the sum of 1+2+3+...+(n-1). n = number of people. Say there are 5 people, handshake between them will be 1+2+3+4 = 10 (try that with your friends 😀)
The sum of 1 to n of any number is (n(n+1))÷2. For example 1+2+3+4+5 = 15 and (5(5+1))÷2 = (5*6)÷2 = 15
So, to find the number of people at the party
(n(n+1))÷2 = 4005
Cross multiplying:
n(n+1) = 4005x2 = 8010
Expanding the bracket:
n² + n = 8010
n² + n - 8010 = 0
Solving that using the Almighty Formula (I don't think I need to go into that details)
n = 90 and -89
Ofcourse there can be negative people at the party so answer is 90 people
Answer: 90
At a party, everyone shook hands with everybody else. There were 4005 handshakes. How many people were at the party?
The number of handshakes between people is always the sum of 1+2+3+...+(n-1). n = number of people. Say there are 5 people, handshake between them will be 1+2+3+4 = 10 (try that with your friends 😀)
The sum of 1 to n of any number is (n(n+1))÷2. For example 1+2+3+4+5 = 15 and (5(5+1))÷2 = (5*6)÷2 = 15
So, to find the number of people at the party
(n(n+1))÷2 = 4005
Cross multiplying:
n(n+1) = 4005x2 = 8010
Expanding the bracket:
n² + n = 8010
n² + n - 8010 = 0
Solving that using the Almighty Formula (I don't think I need to go into that details)
n = 90 and -89
Ofcourse there can be negative people at the party so answer is 90 people
Answer: 90
Answer to Q35
You can only amend once and it can be any of the digits or operators to correct this equation
5 + 5 + 5 + 5 = 555
Answer: Change one of the + to 4 e.g 5 + 5 + 545 = 555
You can only amend once and it can be any of the digits or operators to correct this equation
5 + 5 + 5 + 5 = 555
Answer: Change one of the + to 4 e.g 5 + 5 + 545 = 555
Answer to Q36
A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
Using common sense, you can answer this correctly. If he sent more of large boxes and 8 large boxes can be placed in a carton. If he sent 96 boxes, the number of boxes he sent will be lesser than 96 ÷ 8 = 12. The only option given that is less that 12 is 11
Answer: 11
A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
Using common sense, you can answer this correctly. If he sent more of large boxes and 8 large boxes can be placed in a carton. If he sent 96 boxes, the number of boxes he sent will be lesser than 96 ÷ 8 = 12. The only option given that is less that 12 is 11
Answer: 11
Answer to Q38
If 2 squares are 8, then 1 square is 4
If 2 circles plus 1 square are 14, then 2 circles are 14 - 4 = 10. Then 1 circle is 5
If 1 triangle and 1 circle are 11, then 1 triangle is 11 - 5 = 6
Answer: 6
If 2 squares are 8, then 1 square is 4
If 2 circles plus 1 square are 14, then 2 circles are 14 - 4 = 10. Then 1 circle is 5
If 1 triangle and 1 circle are 11, then 1 triangle is 11 - 5 = 6
Answer: 6
Answer to Q39
The clue is the number of squares in the main square. In the first diagram there are 4 smaller squares and the 4 squares makes one big square making 5 squares
In the second diagram, there are 9 small squares, these 9 squares makes 1 big square, making 10 altogether.
But if you pick 4 of this 9 squares, they also make 1 square and you can count additional 4 squares this way.
Answer: 9 + 1 + 4 = 14
The clue is the number of squares in the main square. In the first diagram there are 4 smaller squares and the 4 squares makes one big square making 5 squares
In the second diagram, there are 9 small squares, these 9 squares makes 1 big square, making 10 altogether.
But if you pick 4 of this 9 squares, they also make 1 square and you can count additional 4 squares this way.
Answer: 9 + 1 + 4 = 14
Answer to Q40
If A + B = 60 and A - B = 40, then what is A ÷ B?
A + B = 60 so, B = 60 - A
A - B = 40 so, A - (60 - A) = 40
A - 60 + A = 40
2A = 40 + 60 = 100
A = 100 ÷ 2 = 50
And, B = 60 - A = 60 - 50 = 10
So, A ÷ B = 50 ÷ 10 = 5
Answer: 5
If A + B = 60 and A - B = 40, then what is A ÷ B?
A + B = 60 so, B = 60 - A
A - B = 40 so, A - (60 - A) = 40
A - 60 + A = 40
2A = 40 + 60 = 100
A = 100 ÷ 2 = 50
And, B = 60 - A = 60 - 50 = 10
So, A ÷ B = 50 ÷ 10 = 5
Answer: 5
Answer to Q41
If 13, 18 = 31 and 7, 25 = 32 and 12, 30 = 42. What is 26, 13?
Simple, the comma represents addition. 13 + 18 = 31, etc
Answer: 26, 13 = 26 + 13 = 39
If 13, 18 = 31 and 7, 25 = 32 and 12, 30 = 42. What is 26, 13?
Simple, the comma represents addition. 13 + 18 = 31, etc
Answer: 26, 13 = 26 + 13 = 39
Answer to Q42
8 - 8 ÷ 4 x 3
Questions like this are always to test your understanding of BODMAS rule (Bracket, Order, Division, Multiplication, Addition, Substraction). If you don't follow the BODMAS rule, you will arrive at the wrong answer.
Bracket: we don't have any bracket
Order: we don't have any order
Division: we have 8 ÷ 4 = 2
so our equation becomes 8 - 2 x 3
Multiplication: we now have 2 x 3 = 6
so our equation becomes 8 - 6 = 2
Answer: 2
8 - 8 ÷ 4 x 3
Questions like this are always to test your understanding of BODMAS rule (Bracket, Order, Division, Multiplication, Addition, Substraction). If you don't follow the BODMAS rule, you will arrive at the wrong answer.
Bracket: we don't have any bracket
Order: we don't have any order
Division: we have 8 ÷ 4 = 2
so our equation becomes 8 - 2 x 3
Multiplication: we now have 2 x 3 = 6
so our equation becomes 8 - 6 = 2
Answer: 2
Answer to Q44
First column: Multiple of 2. So 2, 4, 6, 8
Second column: Just 1s. So 1, 1, 1, 1
Third column: 0s and 1s. So 0, 1, 0, 1
Fourth column: Counting up from 0. So 0, 1, 2, 3
Answer: 8113
First column: Multiple of 2. So 2, 4, 6, 8
Second column: Just 1s. So 1, 1, 1, 1
Third column: 0s and 1s. So 0, 1, 0, 1
Fourth column: Counting up from 0. So 0, 1, 2, 3
Answer: 8113
Answer to Q45
7, 15, 31, ?
I knowingly added this question because it's equivocal. I saw the question somewhere and solved it only for the publisher to tell I was wrong. Solved it another way and got a different answer (correct according to the publisher). I included the two answers in the options!
First Answer
Difference between 15 and 7 = 8
Difference between 31 and 15 = 16
So, the series is n + (8 x y). Where y > 1 and n = previous number and y = position of previous number
So, answer = 31 + (8 x 3) = 31 + 24 = 55
Second Answer
15 = (7 x 2) + 1
31 = (15 x 2) + 1
So, answer = (31 x 2) + 1 = 63
Answer: both 55 and 63 are correct
7, 15, 31, ?
I knowingly added this question because it's equivocal. I saw the question somewhere and solved it only for the publisher to tell I was wrong. Solved it another way and got a different answer (correct according to the publisher). I included the two answers in the options!
First Answer
Difference between 15 and 7 = 8
Difference between 31 and 15 = 16
So, the series is n + (8 x y). Where y > 1 and n = previous number and y = position of previous number
So, answer = 31 + (8 x 3) = 31 + 24 = 55
Second Answer
15 = (7 x 2) + 1
31 = (15 x 2) + 1
So, answer = (31 x 2) + 1 = 63
Answer: both 55 and 63 are correct
Answer to Q46
1² + 5² ÷ 25° - 5¹
BODMAS rules
Bracket: no bracket
Order: 1² + 5² ÷ 25° - 5¹ = 1 + 25 ÷ 1 - 5 (anything raise to power 0 becomes 1)
Division: 25 ÷ 1 = 25 so, 1 + 25 ÷ 1 - 5 = 1 + 25 - 5
Multiplication: no multiplication
Addition: 1 + 25 = 26 so, 1 + 25 - 5 = 26 - 5
Subtraction: 26 - 5 = 21
Answer: 21
1² + 5² ÷ 25° - 5¹
BODMAS rules
Bracket: no bracket
Order: 1² + 5² ÷ 25° - 5¹ = 1 + 25 ÷ 1 - 5 (anything raise to power 0 becomes 1)
Division: 25 ÷ 1 = 25 so, 1 + 25 ÷ 1 - 5 = 1 + 25 - 5
Multiplication: no multiplication
Addition: 1 + 25 = 26 so, 1 + 25 - 5 = 26 - 5
Subtraction: 26 - 5 = 21
Answer: 21
Answer to Q47
If 5, 3 = 28 and 7, 6 = 113 and 4, 5 = -19. What is 3, 8?
The relationship between the numbers is
x, y = (x - y)(x + y)
5, 3 = (5 - 3)(5 + 3) = (2)(8) written as 28
7, 6 = (7 - 6)(7 + 6) = (1)(13) written as 113
4, 5 = (4 - 5)(4 + 5) = (-1)(9) written as -19
so, 3, 8 = (3 - 8)(3 + 8) = (-5)(11)
Answer: -511
If 5, 3 = 28 and 7, 6 = 113 and 4, 5 = -19. What is 3, 8?
The relationship between the numbers is
x, y = (x - y)(x + y)
5, 3 = (5 - 3)(5 + 3) = (2)(8) written as 28
7, 6 = (7 - 6)(7 + 6) = (1)(13) written as 113
4, 5 = (4 - 5)(4 + 5) = (-1)(9) written as -19
so, 3, 8 = (3 - 8)(3 + 8) = (-5)(11)
Answer: -511
Answer to Q48
1783, 3178, 8317, ?
There are 4 digits here 1, 3, 7, and 8. The clue is in there placement.
1: It's already in the 1st, 2nd and 3rd position so it will be in the 4th position in our answer.
_ _ _ 1
3: It's already in the 4th, 1st and 2nd position so it will be in the 3rd position in our answer.
_ _ 31
7: It's already in the 2nd, 3rd and 4th position so it will be in the 1st position in our answer.
7 _ 31
8: It's alreay in 3rd, 4th and 1st position so it will be in 2nd position in our answer
Answer: 7831
1783, 3178, 8317, ?
There are 4 digits here 1, 3, 7, and 8. The clue is in there placement.
1: It's already in the 1st, 2nd and 3rd position so it will be in the 4th position in our answer.
_ _ _ 1
3: It's already in the 4th, 1st and 2nd position so it will be in the 3rd position in our answer.
_ _ 31
7: It's already in the 2nd, 3rd and 4th position so it will be in the 1st position in our answer.
7 _ 31
8: It's alreay in 3rd, 4th and 1st position so it will be in 2nd position in our answer
Answer: 7831
Answer to Q49
A man wanted to enter into a members only, password protected club but didn't know the password. He hid himself behind a wall and listened to the password members gave!
Gateman: 12
A Member: 6 (gateman allowed him to enter)
Gateman: 6
Another Member: 3 (gate and allowed him to enter)
Thinking he now knows the password, he tried to enter the club!
Gateman: 8
Him: 4
But the gateman didn't open the gate!
The gateman wants the number of alphabets in the spellings of the number he calls out. TWELVE (6 letters) = 6, SIX (3 letters) = 3, EIGHT (5 letters)
Answer: 5
A man wanted to enter into a members only, password protected club but didn't know the password. He hid himself behind a wall and listened to the password members gave!
Gateman: 12
A Member: 6 (gateman allowed him to enter)
Gateman: 6
Another Member: 3 (gate and allowed him to enter)
Thinking he now knows the password, he tried to enter the club!
Gateman: 8
Him: 4
But the gateman didn't open the gate!
The gateman wants the number of alphabets in the spellings of the number he calls out. TWELVE (6 letters) = 6, SIX (3 letters) = 3, EIGHT (5 letters)
Answer: 5
Answer to Q50
If 13 - x = y and 5 + x = y. What is y?
If 13 - x = y and 5 + x = y. Then 13 - x = 5 + x
Collecting like terms: 13 - 5 = x + x
8 = 2x
so, x = 8 ÷ 2 = 4
But the question asked for y and not x
and, 13 - x = y
y = 13 - 4 = 9
Answer: 9
If 13 - x = y and 5 + x = y. What is y?
If 13 - x = y and 5 + x = y. Then 13 - x = 5 + x
Collecting like terms: 13 - 5 = x + x
8 = 2x
so, x = 8 ÷ 2 = 4
But the question asked for y and not x
and, 13 - x = y
y = 13 - 4 = 9
Answer: 9