PuzzlersWorld.com

How many pushups in 6 months?

by 1 Comment

If we do 1 push up repetition per day, 3 sets, then increase it by one rep per week for same three sets, how many push ups will we be doing in 6months?

Check your answer:-

Tried enough already?
Answer With Solution
Answer: 7215
Solution:
Let’s assume 30 days in a month, so 6*30 = 180 days in 6 months, i.e. 180/7 = 25weeks + 5 days.

number of push ups in first week 3*7 = 21

so total number of push ups in 25 weeks = 21 + 21*2 + 21*3 …. 21*25

its an arithmetic progression with a1 = 21 and d = 21

its Sum = n(a1+an)/2 =  25(21 + 21*25)/2 = 21*25*26/2 = 6825

Push ups done in 5 days = 21*26*5/7 = 26*15 = 390

Total push ups in 6 months = 6825 + 390 = 7215.

What will be Jane’s tree height puzzle

by 5 Comments

jane, ali and pat each planted a tree 90cm in height . in the time it took jane’s tree to grow by 1 cm, ali’s tree grow by 2 cm. by the time it took ali tree to grow by 2cm pat tree grow by 3 cm . how tall was jane tree when pat tree was 108 cm in height.

Check your answer:-

Tried enough already?
Answer With Solution

Answer: 96cm

Solution: let’s say jane’s tree grow by 1cm in X time, and in the same time ali’s tree grow by 2cm and pat’s tree grow by 3cm.
so to grow 108 – 90 = 18 cm, pat’s tree should take 18/3 = 6X time and jane’s tree should grow by 6cm in the same time.

Math Puzzle – Wall Clock x Football – Table Fan = ?

by 1 Comment

One more math puzzle for you

What will be the value of (Wall Clock)x(Football) – Table Fan in the below image ?
football_watch_table_fan_brain_test_puzzle

Check your answer:-

Tried enough already?
Answer With Solution

Answer: 4

Solution:

You might want to solve it simply like this

First equation: Football + Football + Football = 18 => Football = 18/3 = 6

Second Equation: Wall Clock= 9/3 = 3

Third Equation: Table Fan * Table Fan  – Table Fan = 6 => (Table Fan) x (Table Fan – 1) = 6

from 3×2 = 6 => Table Fan = 3

Thus Wall Clock x  Football – Table Fan = 3 x 6 – 3 = 15

BUT, if you look carefully, it is not a simple math equation puzzle, football in last equation is different than other, wall clock in 4th equation having different time than the ones in second equation, similarly table fan has 2 blades than 3.

So how do we solve it?

In the first equation black marks on Football are 6, therefore Football value is : 6

In the Second equation clock shows 3pm.. so clock value is 3

In the third equation, table fan has 3 blades, thus having a value of 3, OR you can say a table fan with 3 blades has value 3, thus with 2 blades should have a value 2.

In last equation clock is 2 and Football marks are 3, and table fan has 2 blades

thus 2×3 -2 = 4

Solution by : Ranjan Bala Jain over the mail

Beer Bottle Burger Math Equation Puzzle

by 4 Comments

Can you tell what will be the sum of the fourth row ?
i.e. Sum of Burger + Beer Bottle * Beer Mug ?
beer_bottle_burger_math_puzzle
obviously you have to apply some mathematics here, question is how fast you can solve it.

Check your answer:-

Tried enough already?
See Answer and Solution
Answer: 15

Solution:
If you see there are 3 variables and 3 equations, we can solve the equations and get the variables values and than we can find the value of fourth equation.

From the first equation we can say that Beer Bottle = 10
than from the second Burger = (20 – 10)/2 = 5
and from the third equation Beer Mug = (9 – 5)/4 = 1

Thus Burger + Beer Mug * Beer Bottle = 5 + 1*10 = 15

here as per BODMAS 5 + 1*10 will be 5  + 10 and not  6*10

4 mansions in a line puzzle

by 2 Comments

In a village there are 4 mansions located at a different Distance from each other.

following are the distances:

3rd mansion is 60km apart from the 1st mansion.

4th mansion is 40km apart from the 2nd mansion.

3rd mansion is 10km nearer to the 4th mansion than it is to the 2nd mansion.

Can u find out the distance b/w the 4th and 1st mansion ?

Check your answer:-

Tried enough already?
Click here to See Solution

Lets draw the diagram first

4-mansions-puzzle

From above diagram we can write this equation

x+10 + x = 40 => 2x = 30 => x = 15

thus distance between 1st and 4th mansion is 60 + x = 75 km

Coconut + Apple + Banana = ?

by 1 Comment

Solve this fruit math puzzle

fruit math puzzle with apple, banana and coconut

If Apple + Apple + Apple = 30

Apple + Bananas + Bananas = 18

banana + coconuts = 2

Then coconut + apple + bananans = ?

Check your answer:-

Tried enough already?
Click here to See Solution
3A = 30 => A = 10
A + 4B + 4B = 18
8B = 8 => B = 1

4B – 2C = 2
2C = 2 => C = 1

C + A + 3B = 1 + 10 + 3 = 14

permutations n Combinations

by Leave a Comment

There are 10 parking spaces numbered from 101 to 110. At least one car is parked in these slots. If cars can be parked only at the consecutively numbered parking slots, how many such arrangements can be made. Consider that only one car can be parked in one parking slot and all cars are identical.

Check your answer:-

Tried enough already?
Click here to See Solution
Case 1: 1 car in 10 slots: just pick any 1 slot: i.e. 10C1 = 10!/1!9! = 10, see combination formula here
Case 2: now lets say if 2 cars need to be parked in 10 slots, as the cars need to be parked in consecutive slots only, its similar to choosing 1 position out of 9 slots, i.e. 9C1 = 9

if you go on like this, number of ways of parking 10 cars in 10 slots = 1

thus total possible arrangements = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 +1 = 10*11/2 = 55

A trip to the beach – Children Cards and their name Puzzle

by 10 Comments

A mother has twelve children, each born in a different month. They want to go to the beach. She says she’ll take them if they can win a game. She puts the name of each child on a card and tells them she will place the cards face-down in a row on a table in the next room.

She’ll randomly call one child in. The child can turn over cards one at a time, up to half the cards, looking for his or her own name.

If that child finds his or her own name, he or she will be sent outside to play, and won’t be able to communicate with the children still waiting to take a turn. The mother will turn all the cards back face-down, keeping them in the same order, and will randomly call in another child and repeat the process. In order for the children to win the game and go to the beach, all the children must be successful in finding their own names. If any child fails, the game is over, and there will be no trip to the beach! The children can consult each other before their mother starts the game, but those who have already taken a turn cannot contact the others or leave any clues for them.

The children talk among themselves and devise a strategy that all the children will be able to follow perfectly. The game begins, and the first child is called into the room where the game is taking place. A few minutes later, he comes back into the room with the other children, grinning widely. “Pack your swimsuits and your towels!” he says. “We’re going to the beach!”

The child is correct, and knows for certain that the inevitable outcome of the game is that the children will win. How many cards did he turn over before he found his name?

puzzle by Harvey Lerman

Social