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
Answer to Q58
How many months in the year have 28 days?
All the months of the year has atleast 28 days!
Answer: 12
How many months in the year have 28 days?
All the months of the year has atleast 28 days!
Answer: 12
Answer to Q59
There are 120 people at a party and everyone shook hands. How many handshake will there be?
If you got Q34 right or atleast studied the answer, you should get this question right!
It is known that the number of handshake within a group of people is the sum of integer between 1 and (number of people in the group - 1). Say there are persons A, B, C, D and E (5 people) in a group and all shook hands, the number of handshakes will be sum of integers between 1 and (5-1) i.e. 1 + 2 + 3 + 4 = 10.
Let's confirm this:
- Person A shakes B, C, D, and E (4 handshakes)
- Person B shakes C, D, and E (no need to shake A again because A already shook him) (3 handshakes)
- Person C shakes D and E (2 handshakes)
- Person D shakes E (1 handshake)
- Person E don't have to shake anybody, they have all shook him
So, 4 + 3 + 2 + 1 = 10
And also we know that the sum of 1 to n = (n(n+1)) ÷ 2. Say you want to add 1 to 10 that will be
= (10 x (10 + 1)) ÷ 2
= (10 x 11) ÷ 2
= 110 ÷ 2
= 55 (also try it with your calculator)
With this information, we now know the number of handshakes in a group of 120 people will be 1 + 2 + 3 + ... + 119
But we don't have to add sequentially like that, we just do (119 x 120) ÷ 2
= 14280 ÷ 2
= 7140
Answer: 7140
There are 120 people at a party and everyone shook hands. How many handshake will there be?
If you got Q34 right or atleast studied the answer, you should get this question right!
It is known that the number of handshake within a group of people is the sum of integer between 1 and (number of people in the group - 1). Say there are persons A, B, C, D and E (5 people) in a group and all shook hands, the number of handshakes will be sum of integers between 1 and (5-1) i.e. 1 + 2 + 3 + 4 = 10.
Let's confirm this:
- Person A shakes B, C, D, and E (4 handshakes)
- Person B shakes C, D, and E (no need to shake A again because A already shook him) (3 handshakes)
- Person C shakes D and E (2 handshakes)
- Person D shakes E (1 handshake)
- Person E don't have to shake anybody, they have all shook him
So, 4 + 3 + 2 + 1 = 10
And also we know that the sum of 1 to n = (n(n+1)) ÷ 2. Say you want to add 1 to 10 that will be
= (10 x (10 + 1)) ÷ 2
= (10 x 11) ÷ 2
= 110 ÷ 2
= 55 (also try it with your calculator)
With this information, we now know the number of handshakes in a group of 120 people will be 1 + 2 + 3 + ... + 119
But we don't have to add sequentially like that, we just do (119 x 120) ÷ 2
= 14280 ÷ 2
= 7140
Answer: 7140
Answer to Q60
Who did Matthew Perry play in 'Friends'?
Ok, we can't be always serious here 😀. Friends is one of the greatest TV shows of all time and who ever watched that show would surely enjoy Chandler Bing's (played by Matthew Perry) humor!
Answer: Chandler Bing
Who did Matthew Perry play in 'Friends'?
Ok, we can't be always serious here 😀. Friends is one of the greatest TV shows of all time and who ever watched that show would surely enjoy Chandler Bing's (played by Matthew Perry) humor!
Answer: Chandler Bing
Answer to Q61
You were handed a rectangle of 2m x 3m and asked to cut out a circle from it.
The diameter of the largest circle you can cut out of a rectangle will be the shortest side of the rectangle. With a rectangle of 2m x 3m, the diameter of the circle will be 2m
Area of a circle = πr²
And radius = diameter ÷ 2
r = 2m ÷ 2 = 1m
A = π x 1² = π
Answer: π
You were handed a rectangle of 2m x 3m and asked to cut out a circle from it.
The diameter of the largest circle you can cut out of a rectangle will be the shortest side of the rectangle. With a rectangle of 2m x 3m, the diameter of the circle will be 2m
Area of a circle = πr²
And radius = diameter ÷ 2
r = 2m ÷ 2 = 1m
A = π x 1² = π
Answer: π
Answer to Q62
If D + E = G and C + G = H. What is A + C?
Let A = 1, B = 2, C = 3, etc
D + E = G i.e. 4 + 5 = 9 but G is not 9 but 7
C + G = H i.e. 3 + 7 =10 but H is not 10 but 8
So the pattern is A + B - 2
4 + 5 - 2 = 7
3 + 7 - 2 = 8
So, A + C = 1 + 3 - 2 = 2 (B)
Answer: B
If D + E = G and C + G = H. What is A + C?
Let A = 1, B = 2, C = 3, etc
D + E = G i.e. 4 + 5 = 9 but G is not 9 but 7
C + G = H i.e. 3 + 7 =10 but H is not 10 but 8
So the pattern is A + B - 2
4 + 5 - 2 = 7
3 + 7 - 2 = 8
So, A + C = 1 + 3 - 2 = 2 (B)
Answer: B
Answer to Q63
Complete this series 3.8.13, 9.14.19 and 6.11.?
The series is an Arithmetic Progression with difference of 5
See, 8 - 3 = 5; 13 - 8 =5; 14 - 9 = 5, 19 - 14 = 5; 11 - 6 = 5
x - 11 = 5
x = 5 + 11 = 16
Answer: 16
Complete this series 3.8.13, 9.14.19 and 6.11.?
The series is an Arithmetic Progression with difference of 5
See, 8 - 3 = 5; 13 - 8 =5; 14 - 9 = 5, 19 - 14 = 5; 11 - 6 = 5
x - 11 = 5
x = 5 + 11 = 16
Answer: 16