**Answer to**Q179

*There are 85 people in a warehouse, out of which some have been turned into zombies while some are still alive. If the ratio of zombies to living human beings is 2:3, calculate the total number of zombies.*

zombies : human = 2:3

**∴**

zombie = 2 ratio

human = 3 ratio

**and,**

zombies + human = 85

ratio = 2+3 = 5

**so,**

1 ratio = 85 ÷ 5

1 ration = 17

zombie = 2 x 17 = 34

human = 3 x 17 = 51

Answer: 34

**Answer to**Q180

The first box is 8 + 2 + 5 - 3 = 12

The second box is 3 + 7 + 4 - 9 = 5

So, the third box is 5 + 8 + 7 - 6 = 14

Answer: 14

**Answer to**Q181

*If you’re running in a race and you pass the person in second place, what place are you in?*

When you pass the person in second place, you replaces them in that position, so you come from third place to second place.

Answer: Second place

**Answer to**Q183:

*Select the richest guy:*

A: A guy with USD5,000,000

B: A guy that has just 1 cent but it will be doubled everyday for ONLY 30 days.

Atthe end of 30 days, guy A will still have USD5,000,000 but guy B will have

A: A guy with USD5,000,000

B: A guy that has just 1 cent but it will be doubled everyday for ONLY 30 days.

At

Day 1 - $0.02

Day 2 - $0.04

Day 3 - $0.08

Day 4 - $0.16

Day 5 - $0.32

Day 6 - $0.64

Day 7 - $1.28

Day 8 - $2.56

Day 9 - $5.12

Day 10 - $10.24

Day 11 - $20.48

Day 12 - $40.96

Day 13 - $81.92

Day 14 - $163.84

Day 15 - $327.68

Day 16 - $655.36

Day 17 - $1,310.72

Day 18 - $2,621.44

Day 19 - $5,242.88

Day 20 - $10,485.76

Day 21 - $20,971.52

Day 22 - $41,943.04

Day 23 - $83,886.08

Day 24 - $167,772.16

Day 25 - $335,544.32

Day 26 - $671,088.64

Day 27 - $1,342,177.28

Day 28 - $2,684,354.56

Day 29 - $5,368,709.12

Day 30 - $10,737,418.24

Guy B will have a whopping USD10,737,418.24

Answer: A guy that has just 1 cent but it will be doubled everyday for ONLY 30 days.

**Answer to**Q184:

*What is the value of the square, the circle and the triangle?*

At first glance, this looks like a very complex puzzle to solve but it is actually one of the simplest.

The puzzle can be rewritten as 3 x (Square Circle Triangle) = 777

Square Circle Triangle = 777 ÷ 3

Square Circle Triangle = 259

Answer:

Square = 2

Circle = 5

Triangle = 9

**Answer to**Q185:

*If I had four eggs and a thief gave me three and my rooster laid five more. How many eggs do I have?*

If I had four eggs: 4 eggs

If I had four eggs

*and a thief gave me three*: 3 eggs (the word thief here was just introduced to cause confusion, it has nothing to do with the word problem).

*and my rooster laid five more*: That is impossible as roosters don't lay eggs so, 0 eggs

*How many eggs do I have?*: 4 + 3 + 0 = 7

Answer: 7

**Answer to**Q186:

*If one person chases 1,000 and two persons chase 10,000. How many does 5 persons chase?*

So,

1 = 1,000 (10³ = 10ⁿ⁺²)

2 = 10,000 (10⁴ = 10ⁿ⁺²)

Then 5 = (10ⁿ⁺²) = 10⁵⁺² = 10⁷ = 10,000,000

Answer: 10,000,000

**Answer to**Q187:

*From the diagram above, what is the area of the shaded parts?*

We can take the squares roll by roll, starting from roll 1 (the topmost):

**Roll 1:**

The total area of roll 1 is 4 unit sq. (1 sq. unit x 4),

But the half of the area is not shaded so ¹⁄₂ x 4 sq, unit = 2 sq. unit

And also the first square as the bottom half not shaded = ¹⁄₂ x 1 sq. unit = ¹⁄₂ sq. unit

So, shaded part of roll 1 is = 2 sq. unit - ¹⁄₂ sq. unit = 1¹⁄₂ sq. unit

**Roll 2:**

We have a whole square and half of a square shaded = 1¹⁄₂ sq. unit

**Roll 3:**

We have only half of a square shaded = ¹⁄₂ sq. unit

Total area shaded = 1¹⁄₂ +1¹⁄₂ + ¹⁄₂ = 3¹⁄₂ sq. unit

Answer: 3¹⁄₂ sq. unit

**Answer to**Q188

**:**

*A girl got killed, the killer took her iPhone, diamond, money, and necklace. What was first thing the killer took?*

Answer: The killer took her life first

**Answer to**Q189:

*From the above diagram, what is the area of the shaded portion?*

The area of the shaded portion will be area of the square - area of the circle

= L² - (πr²) (where L = 2r)

= (20x20) - (π x x 10 x 10)

= 400 - 314.16

= 85.84

Answer: 85.84 sq. unit

**Answer to**Q190:

*If three cats catch three rats in three minutes, how many cats will catch 100 rats in 100 minutes?*

If three cats catch three rats in three minutes: then

If three cats catch three rats in three minutes

**one**cat will catch

**one**rat in

**three**minutes (not one minutes, three minutes).

So, to catch 100 rats:

= (1 cat/rat x 100 rats) every three minutes

= 1cat/rat x 100 rats x 3 minutes

= 300 cats minutes

So, 1 cats can finish the job in 300 minutes, but we were asked to calculate for 100 minutes.

But we have 100 minutes, so:

= 300 cat minutes ÷ 100 minutes

= 3 cats

Answer: 3 cats

**Answer to**Q191:

*What is the area of the shaded region?*

Area of the shaded portion will be:

= area of the rectangle - area of the circle

= (L x B) - (πr²)

= (3 x 2) - (π x 1 x 1) . Diameter is 2 so radius is 1

= 6 - π

Answer: 6 - π

**Answer to**Q192:

*From the diagram above, what is the length of AC?*

You will agree with me that AC is the same length as BD, and BD is the same as the radius of the circle.

So,

AC = BD = radius of circle = 6" + 4" = 10"

Answer: 10"

**Answer to**Q193:

*If (A - A - A = 20), (B - B - B = 15) and (C - C - C = 25), then what is A + B + C?*

A - A - A = 20:

A - A - A = 20

that means -A = 20

A = -20

*B - B - B = 15*

-B

*= 15*

B = -15

*C - C - C = 25*

-C = 25

C = -25

So A + B + C = -20 + -15 + -25

= -20 - 15 - 25

= -60

Answer: -60

**Answer to**Q194:

*From the diagram above, find the area of the green triangle.*

Area of the green triangle = ½ x BC x BD

But, BD² = AD² + BA²

BD² = 5² + 10²

BD = √(25 + 100) = √125

BD = 11.18

*But*also, ∠ DBA = ∠ BDF = δ

sin δ = ⁵⁄₁₁.₁₈

δ = sin⁻¹ (0.4472)

δ = 26.57°

*So,*∠ BDF = 26.57°

that makes ∠ DCB = 90° - 26.57°

∠ DCB = 63.43°

*and,*DA = FB = 5

sin (DCB) = 5 ÷ BC

BC = 5 ÷ sin 63.43°

BC = 5.59

Area of the green triangle = ½ x BC x BD

= ½ x 5.59 x 11.18

= 31.25

Answer: 31.25 sq. unit

**Answer to**Q195:

*What is the area of the coloured square?*

The first and important information is that the shaded area is a square so all we need to do is find the length of one side.

We can find the hypotenuse of the triangle of base 2 and height 6 using Pythagoras theorem.

hyp² = base² + height²

hyp² = 2² + 6²

hyp² = 4 + 36

hyp = √40

So one of the side is √40 and area of a square = L²

area of shaded square = (√40)²

= 40 sq. unit

Answer: 40 sq. unit

**Answer to**Q196:

*From the picture above, find the missing number.*

The pattern is n²+1 of prime numbers (2, 3, 5, 7, 11, etc)

For 2: n²+1 = 2²+1 = 5

For 3: n²+1 = 3²+1 = 10

**For 5: n²+1 = 5²+1 = 26**

For 7: n²+1 = 7²+1 = 50

For 11: n²+1 = 11²+1 = 122

Answer: 26

**Answer to**Q197:

*Which of the trucks is moving in the direction as shown?*

Answer C: because as the truck accelerates towards the right, there is an equal and opposite reaction on the water which pushes it to the left. Same thing happens to humans in a car when it accelerates or breaks, you move towards the opposite direction.