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
Answer to Q51
If 5, 4 = 3 and 16, 81 = 7 and 8, 36 = 2. What is 9, 25?
Relationship between the numbers is: if x, y = z then x - √y = z
5, 4 = 5 - √4 = 5 - 2 = 3
16, 81 = 16 - √81 = 16 - 9 = 7
8, 36 = 8 - √36 = 8 - 6 = 2
so, 9, 25 = 9 - √25 = 9 - 5 = 4
Answer: 4
If 5, 4 = 3 and 16, 81 = 7 and 8, 36 = 2. What is 9, 25?
Relationship between the numbers is: if x, y = z then x - √y = z
5, 4 = 5 - √4 = 5 - 2 = 3
16, 81 = 16 - √81 = 16 - 9 = 7
8, 36 = 8 - √36 = 8 - 6 = 2
so, 9, 25 = 9 - √25 = 9 - 5 = 4
Answer: 4
Answer to Q52
An electric train is moving north at 100km/hr and a wind is blowing to the west at 10km/hr. Which way does the smoke blow?
This is more or less a bonus question but if you don't pay attention to details, you can still get it wrong.
Answer: An electric train doesn't produce smoke
An electric train is moving north at 100km/hr and a wind is blowing to the west at 10km/hr. Which way does the smoke blow?
This is more or less a bonus question but if you don't pay attention to details, you can still get it wrong.
Answer: An electric train doesn't produce smoke
Answer to Q53
Ten birds were on a tree, I shot them and none flew away.
Can this statement be true?
Of course, it can be true. I shot them with my camera, I didn't shoot at them with a gun!
Answer: Yes
Ten birds were on a tree, I shot them and none flew away.
Can this statement be true?
Of course, it can be true. I shot them with my camera, I didn't shoot at them with a gun!
Answer: Yes
Answer to Q54
A rectangle and a square both has the same area. Which one of them has the highest perimeter?
To answer this question let's imagine a square of length and breath 4m. The area will be L x B = 4 x 4 = 16m²
The perimeter is said square is L+L+B+B = 4 + 4 + 4 + 4 = 16m
Now imagine a rectangle with the same area 16m² which has a side as 2m. The other side will be L x 2 = 16m²
L = 16 ÷ 2 = 8m
Perimeter of the rectangle is L+L+B+B = 8 + 8 + 2 + 2 = 20m
So, the perimeter of a rectangle will be large than that of a square with equal area.
Answer: Rectangle
A rectangle and a square both has the same area. Which one of them has the highest perimeter?
To answer this question let's imagine a square of length and breath 4m. The area will be L x B = 4 x 4 = 16m²
The perimeter is said square is L+L+B+B = 4 + 4 + 4 + 4 = 16m
Now imagine a rectangle with the same area 16m² which has a side as 2m. The other side will be L x 2 = 16m²
L = 16 ÷ 2 = 8m
Perimeter of the rectangle is L+L+B+B = 8 + 8 + 2 + 2 = 20m
So, the perimeter of a rectangle will be large than that of a square with equal area.
Answer: Rectangle
Answer to Q55
During a banquest, I finished a 18cm diameter pizza and my wife finished two 12cm diameter pizza. Who ate the most?
Let's start by calculating the surface area of the pizza I ate. πr²
Diameter = 18cm. Radius = 18 ÷ 2 = 9cm
A = π x 9²
A = 254.47cm²
And my wife ate two 12cm diameter pizzas
Diameter = 12cm. Radius = 12 ÷ 2 = 6cm
A = π x 6²
A = 113.10cm²
But she ate 2 so,
A = 113.10 x 2 = 226.20cm²
I ate 254.47cm² of pizza and she ate 226.20cm²
Answer: Me
[Moral of the question: there are more pizza in a single 18cm diameter than in two 12cm diameter]
During a banquest, I finished a 18cm diameter pizza and my wife finished two 12cm diameter pizza. Who ate the most?
Let's start by calculating the surface area of the pizza I ate. πr²
Diameter = 18cm. Radius = 18 ÷ 2 = 9cm
A = π x 9²
A = 254.47cm²
And my wife ate two 12cm diameter pizzas
Diameter = 12cm. Radius = 12 ÷ 2 = 6cm
A = π x 6²
A = 113.10cm²
But she ate 2 so,
A = 113.10 x 2 = 226.20cm²
I ate 254.47cm² of pizza and she ate 226.20cm²
Answer: Me
[Moral of the question: there are more pizza in a single 18cm diameter than in two 12cm diameter]
Answer to Q56
There are 4 numbers w, x, y & z. w + x = 14, w + y = 15, x + z = 16 and y - z = 10. What is x and y?
w + x = 14
w + y = 15
x + z = 16
y - z = 10
y = 10 + z
w = 15 - y
Then,
w = 15 - (10 + z)
w = 15 - 10 - z
w = 5 - z
But,
w + x = 14
5 - z + x = 14
x = 14 - 5 + z
x = 9 + z
And,
x + z = 16
9 + z + z = 16
9 + 2z = 16
2z = 16 - 9
2z = 7
z = 7 ÷ 2 = 3.5
z = 3.5
x = 9 + z = 9 + 3.5
x = 12.5
w = 5 - z = 5 - 3.5
w = 1.5
y = 10 + z = 10 + 3.5
y = 13.5
So, w = 1.5, x = 12.5, y = 13.5 and z = 3.5
Answer: x = 12.5 and y = 13.5
There are 4 numbers w, x, y & z. w + x = 14, w + y = 15, x + z = 16 and y - z = 10. What is x and y?
w + x = 14
w + y = 15
x + z = 16
y - z = 10
y = 10 + z
w = 15 - y
Then,
w = 15 - (10 + z)
w = 15 - 10 - z
w = 5 - z
But,
w + x = 14
5 - z + x = 14
x = 14 - 5 + z
x = 9 + z
And,
x + z = 16
9 + z + z = 16
9 + 2z = 16
2z = 16 - 9
2z = 7
z = 7 ÷ 2 = 3.5
z = 3.5
x = 9 + z = 9 + 3.5
x = 12.5
w = 5 - z = 5 - 3.5
w = 1.5
y = 10 + z = 10 + 3.5
y = 13.5
So, w = 1.5, x = 12.5, y = 13.5 and z = 3.5
Answer: x = 12.5 and y = 13.5
Answer to Q57
Mr Brown was killed on a Sunday afternoon. The wife said she was reading a book. The butler said he was taking a walk. The chef said he was making breakfast. The maid said she was folding clothes. The gardener said he was planting herbs. Who did it?
All but one had genuine excuses. The chef lied, he said he was cooking breakfast when it was actually afternoon so he is most likely the killer.
Answer: Chef
Mr Brown was killed on a Sunday afternoon. The wife said she was reading a book. The butler said he was taking a walk. The chef said he was making breakfast. The maid said she was folding clothes. The gardener said he was planting herbs. Who did it?
All but one had genuine excuses. The chef lied, he said he was cooking breakfast when it was actually afternoon so he is most likely the killer.
Answer: Chef