Friday, 30 December 2016

If a/b = 2/3, b/c = 1, c/d = 1/2, d/e = 3 and e/f = 1/2 then what is the value of abc/def?

If a/b = 2/3, b/c = 1, c/d = 1/2, d/e = 3 and e/f = 1/2 then what is the value of abc/def?




Solution -

3/8
(a/b)*(b/c)*(c/d)=(2/3)*(1)*(1/2)=a/d=1/3
(b/c)*(c/d)*(d/e)=(1)*(1/2)*(3)=b/e=3/2
(c/d)*(d/e)*(e/f)=(1/2)*(3)*(1/2)=c/f=3/4
multiply the three=a.b.c/(d.e.f)=3/8

If a × b × v × d × e = 1 and a,b v,d,e are all positive real numbers; what is the minimum value of a

If a × b × v × d × e = 1 and a,b v,d,e are all positive real numbers; what is the minimum value of a




Solution -

if a*b=1 and a and b re +ve (a+b) >2(get by squaring a+b). minimum should be 5 for a+b+c+d+e when all are 1

Sunday, 18 December 2016

Can you replace each alphabet with the number (1 - 9) to make below equation correct ? AB * C = DE

Can you replace each alphabet with the number (1 - 9) to make below equation correct ?

AB * C = DE - F = GH / I






Solution -

AB * C = DE - F = GH / I ===> (39*1 = 45-6 = 78/2) = 39.

I am a two digit number. My ones digit is odd. The product of my digits is 6. The sum of my digits i

61 ## is the answer

Because ones digit is odd....






Solution -

Answer is 61
Sum is 6+1=7
and product is 6*1=6

When you reverse the digits of the number 14 the number increases by 27, how many other two digits n

When you reverse the digits of the number 14 the number increases by 27, how many other two digits number increases by 27 when their digits are reversed?






Solution -

25,36,47,58 and 69.

Saturday, 17 December 2016

A quantity x varies inversely as the square of y. Given that x = 4 when y = 3, the value of x when y

A quantity x varies inversely as the square of y. Given that x = 4 when y = 3, the value of x when y




Solution -

x=k/(y*y). From given data 4=k/(3*3) gives k=36
Thus x=36/(y*y)
When y=6, x=36/(6*6) means x=1 answer

Friday, 16 December 2016

The length of a rectangular field is twice its width. Ramesh jogged around it 5 times and covered a

The length of a rectangular field is twice its width. Ramesh jogged around it 5 times and covered a distance of 3 km.
What is the length of the field?






Solution -

Let L be 2x
W be x
Circumference 2(2x+x)
Now 5×2(3x)=3000
x=30
Length=60 meters

Wednesday, 7 December 2016

If the original cost of iPhone is Rs. 70,000 Which is the best offer for you ?

On the occasion of Christmas, Major online seller companies in India is offering big discount on Iphone7 as below.

: Flipkart offers Flat 65% discount
: Amazon offers 10% discount over and over again.
: eBay offers RS 45,000 off.

If the original cost of iPhone is Rs. 70,000 Which is the best offer for you ?






Solution -

The answer is AMAZON.
Because I could ask AMAZON to repeat the discount until I get a price lower than the other two offers

Why are rivers rich?

Why are rivers rich?




Solution -

Because rivers have banks :)

Guess me : What is a number that when divided by 10 leaves a remainder 9 and when divided by 9 leave

What is a number that
when divided by 10 leaves a remainder 9 and
when divided by 9 leaves a remainder 8,
when divided by 8 then leaves a remainder 7,
and similarly till 1 ?

What is the Number ?






Solution -

the smallest number obeying these conditions is 89

What is the question you can ask all day and no matter what answers is, that would still be valid qu

What is the question you can ask all day and no matter what answers is, that would still be valid qu




Solution -

What time is it now??

If 20 % 5 = 24; 21 % 7 = 33; 42 % 6 = 67 Then; 66 % 6 = ?

If
20 % 5 = 24

21 % 7 = 33

42 % 6 = 67

Then;

66 % 6 = ?






Solution -

logic : 20/5 = 4 & 2+0 =2 => 20%5 =24
ans is 1211

If 1 +1 = 2, 3 + 3 = 6, 13 + 24 = 40, 14 + 25 = 42 Then 41 + 52 = ?

If 1 +1 = 2, 3 + 3 = 6, 13 + 24 = 40, 14 + 25 = 42 Then 41 + 52 = ?




Solution -

Ans : 102

Solution:
1 + 1 = 2
01 + 01 = (01 + 01 + 0 + 0) = 2

3 + 3 = 6
03 + 03 = (03 + 03 + 0 + 0) = 6

13 + 24 = 40
(13 + 24 + 1 + 2) = 40

14 + 25 = 42
(14 + 25 + 1 + 2) = 42

41 + 52 = ?
(41 + 52 + 4 + 5) = 102

You remove the first letter and still have a valid word. You will be given clues for the two words,

When you behead a word, you remove the first letter and still have a valid word. You will be given clues for the two words, longer word first.
Example: Begin -> Sour, acidic
Answer: The words are Start and Tart.

  1. Money on hand -> Olive-like tree
  2. Resurrection day -> Daisy-like flower
  3. Make thoroughly wet -> Nut tree
  4. Ordinary writing -> Flower with prickly stem
  5. Backbone -> Evergreen tree
  6. Plants with showy flowers -> Stands; ascends
  7. Steering wheel -> Hardwood tree
  8. Flowering plant -> Intimate friend





Solution -

  1. Cash - Ash
  2. Easter - Aster
  3. Soak - Oak
  4. Prose - Rose
  5. Spine - Pine
  6. Irise - Rise
  7. Helm - Elm
  8. Clover - Lover.

IF 3+2+5=25, 4+1+9=45 then 8+7+6=??

IF 3+2+5=25, 4+1+9=45 then 8+7+6=??




Solution -

90
First add two digit the multiple in 3rd digit=Answer

3+2+5=25====3+2=5x5=25,
4+1+9=45 =====4+1=4x9=45
then 8+7+6======8+7=15x6=90

If 6 + 2 = 40, 4 + 3 = 25, 6 + 6 = 72, 5 + 10 = 125 then 7 + 1 = ??

If 6 + 2 = 40, 4 + 3 = 25, 6 + 6 = 72, 5 + 10 = 125 then 7 + 1 = ??




Solution -

7+1=7^2+1^2=49+1=50

Logic-- x^2+y^2=z
Such as 6+2=40
6^2+2^2=40

4+3=25
4^2+3^2=25

And so on .

Tuesday, 6 December 2016

Solve the popular algebraic equation by replacing alphabets with a digit: SEND + MORE = MONEY

Solve the popular algebraic equation by replacing alphabets with a digit and equation must be true as well?

SEND  + MORE  ======  MONEY  





Solution -

enter image description here

What comes next in the series - 1, 9, 17, 33, 49, 73, ?

What comes next in the series - 1, 9, 17, 33, 49, 73, ?




Solution -

9 - 1 = 8
17 - 9 = 8
33 - 17 = 16
49 - 33 = 16
73 - 49 = 24
X - 73 = 24
X = 73 + 24 = 97

Monday, 5 December 2016

If, a + a = 10; a + @ = 15; a + e = 25 Then; a + @ + e = ??

If,

a + a = 10

a + @ = 15

a + e = 25

Then;

a + @ + e = ??






Solution -

Given,
a + a = 10
i.e.
2a = 10,
so a = 5.......................................(i)

a + @ = 15,
@ = 15 - a, but a = 5,
so @ = 10....................................(ii)

a + e = 25,
e = 25 - a, but a = 5,
so, e = 20.....................................(iii)

adding the three equations above, we have

a + @ + e = 5 + 10 + 20
which gives,

a + @ + e = 35

What is the missing number of the following sequence - 5, 39, 8, 9, 40, 11, 13, 27, 14, 15, ??, 17

What is the missing number of the following sequence - 5, 39, 8, 9, 40, 11, 13, 27, 14, 15, ??, 17




Solution -

5, 39, 8, 9, 40, 11, 13, 27, 14, 15, ......, 17
(5, 39, 8), (9, 40, 11), (13, 27, 14), (15, ......, 17)
a b c
b = c^2 - a^2
8^2-5^2 = 64-25 = 39
11^2-9^2 = 121-81 = 40
14^2-13^2 = 196-169 = 27
Similarly
17^2-15^2 = 289-225 = 64

What Comes Next In The Sequence; 36, 31, 29, 24, 22, 17, 15, ?

36-31=5
31-29=2
29-24=5
24-22=2
22-17=5
17-15=2
15-x=5 ,..... 15-5=x

so x =10






Solution -

36 - 5 = 31
31 - 2 = 29
29 - 5 = 24
24 - 2 = 22
22 - 5 = 17
17 - 2 = 15
15 - 5 = 10.

What comes next in the sequence; AF, BE CF, DI, FD, ??

Answer --HA

Explanation--

AF =16 (4^2)
BE= 25(5^2)
CF= 36(6^2)
DI = 49(7^2)
FD = 64(8^2)

HA =81(9^2)






Solution -

We will transform the combination of two letters in numbers based on their positioin the alphabet
Therefore, we can write the following:
AF = 16, BE = 25, CF =36 , DI = 49, FD = 64
Now we have the series: ( 16,25,36,49,64,?)
The next number will be: 16 + 9 = 25, 25+11=36, 36+13=49, 49+15=64 , and 64 + 17= 81
81 = HA
The answer is HA

Sunday, 4 December 2016

There is a riddle which can be asked all day with a different correct answer each time. What is the

There is a riddle which can be asked all day with a different correct answer each time. What is the




Solution -

question can be "What time is it?"

I wear a green jacket on the outside, white jacket as a second layer, and red jacket inside. I am pr

I wear a green jacket on the outside, white jacket as a second layer, and red jacket inside. I am pregnant with a lot of babies. What am I?






Solution -

Thanks for the puzzle.

The answer is - A Watermelon.

Saturday, 3 December 2016

A metal cylinder of base 5 cm and height 12 cm is melted to make n solid cones of height 1 cm and ba

A metal cylinder of base 5 cm and height 12 cm is melted to make n solid cones of height 1 cm and base radius 1 mm.
What is the value of n?






Solution -

The volume of the cylinder must be equal to the volume of n cones
Volume of the cylinder V = pi x 5^2 x 12
Volume of n cones V = n x (pi x 0,1^2 x 1)/ 3
Then,
pi x 25 x 12 = n x (pi x 0,01 x 1)/3
n = 90000 cones

Eesha has completed 68% of her 250-page book. How many pages has she written?

Eesha has completed 68% of her 250-page book. How many pages has she written?




Solution -

170 pages; if you multiply 0.68*250, you get 170. You multiply because you are taking the percentage of the finished piece, making it a fraction out of a whole (in this case, out of 1), then multiplying it by 250 because 250 is the whole project.

I have a face but no eyes, hands but no arms. What am I?

Answer is "clock"






Solution -

A Clock

enter image description here

Find the number that comes next in the following series: 3, 7, 12, 14, 16, 19, 21, 25, 30, 41, 45,

Find the number that comes next in the following series:

3, 7, 12, 14, 16, 19, 21, 25, 30, 41, 45, 52, 54, 56, 59, 61, 65, 70, ?






Solution -

It follow the logic below:
3
3 + 4 = 7
7 + 5 = 12
12 + 2 = 14
14 + 2 = 16
16 + 3 = 19
19 + 2 = 21
21 + 4 = 25
2 5 + 5 = 30
30 + 11= 41
41 + 4 = 45
45 + 7 = 52
52 + 2 = 54
54 + 2 = 56
56 + 3 = 59
59 + 2 = 61
61 + 4 = 65
65 + 5 = 70
Now, Let us look at sequence ( 4,5,2,2,3,2,4,5,11,4,7,2,2,3,2,4,5)
Then for the nexy three numbers, will use 11,4,7
So the next three numbers will be : 70 +11= 81, 81+4=85, 85+7 = 92

Friday, 2 December 2016

If 2+4+6=19, 3+6+9=43, 4+6+8=53 then 9+5+3=?

If
2+4+6=19,
3+6+9=43,
4+6+8=53
then
9+5+3=?






Solution -

9*5+9*3-(9-1) = 64

The alphabet is written here but some letters are missing. Arrange the missing letters to give a wor

The alphabet is written here but some letters are missing. Arrange the missing letters to give a word. What is it?

CDFGHIJKMNPQRVWXYZ






Solution -

missing alphabets are : ABELOSTU
the word is "absolute"

Spelled one way it mows the lawn spelled another you put it on.

Spelled one way it mows the lawn spelled another you put it on.




Solution -

We can say mowing lawn as also clipping lawn and also clips are used in dressing.

Saturday, 26 November 2016

The ratio of present ages of Ram and Shyam is 4:3. If 10 years ago Ram was half of Shyam in age, wha

The ratio of present ages of Ram and Shyam is 4:3. If 10 years ago Ram was half of Shyam in age, what is the sum of their present ages?






Solution -


The ratio of present ages of Ram and Shyam is 4:3. If 10 years ago Ram was half of Shyam in age, what is the sum of their present ages?

let present ages of ram and shyam be x and y
x/y=4/3

x-10=1/2(y-10)
4y/3-10=1/2(y-10)
2(4y-30)=3(y-10)
8y-60=3y-30
5y=30
y=6
then x=4y/3=4*6/3=8
Sum of their present ages=x+y=8+6=14

Wednesday, 13 April 2016

Candies interview puzzle

In a closed jar,
There are

  • Three strawberry candies,

  • Two mango candies and

  • Five pineapple candies.


You can't see inside the jar.
Now, how many toffees you must take out from the jar to make sure that you have one of each flavor?




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Number of chocolate ice creams puzzle

There is a ice cream box containing ice creams that can be either mango flavored or chocolate flavored. You know the fact that there is at least one mango flavored ice cream in that box. Your eyes are then closed and you pick two ice creams at random.

You are provided with the fact that at least one of them will be chocolate flavored ice cream.

Can you now find out how many chocolate ice creams are there in that box?




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Thursday, 7 April 2016

Number of people in the bus puzzle

An empty bus pulls up to a stop and 10 people get on, 8 took ticket and rest 2 shown their passes to conductor. At the next stop 5 people get off and twice as many people get on as at the first stop but everyone took tickets. At the third stop 25 get off.

How many people are on the bus at this point?




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Brother age easy puzzle

A boy is 2 years old, his brother is half as old as him. When the first boy is 100,
How old will his brother be?




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Wednesday, 6 April 2016

Brother age easy puzzle

A boy is 2 years old, his brother is half as old as him. When the first boy is 100,
How old will his brother be?




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Sunday, 3 April 2016

Hard boiling 20 eggs puzzle

If it takes twenty minutes to hard-boil one goose egg,

How long will it take to hard-boil four goose eggs?




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I couldn't remember the code, Please help

Last winter I found myself locked out of my house because I couldn't remember the 5 digits code to open the garage door. I used the following facts to get inside.

1. The second and third digits add up to 9.
2. The first digit is equal to the second digit cubed.
3. The sum of the third and fifth digits is the smallest number with exactly five divisors.
4. The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.

What was the code?




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Wednesday, 30 March 2016

Seconds or Hours, which is greater puzzle

'S' refers to the number of seconds in a day and
'H' refers to the number of hours in ten years.

Which quantity out of these two is greater?




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Sunday, 27 March 2016

Calculating smallest possible children in the family

Each child in a family has at least 4 brothers and 2 sisters.
What is the smallest number of children the family might have?




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Apple juice and bottle distribution math puzzle

You are distributing apple juice. There are 21 bottles in total out of which 7 are full, 7 half empty and 7 empty. The juices has to be distributed among three people.

How will you distribute so that each person gets equal number of bottles and the same quantity of juice?




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Monday, 21 March 2016

Maximum runs that can be scored by a batsman in one day cricket

How many maximum runs can a batsman score in a normal one day match?

Consider the fact that the conditions are ideal and there are no No Balls, no Wide Balls and no Extras in that match.




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Maximum distance travelled by scooter puzzle

There is one scooter which has 2 tyres and one stepney/spare (i.e. total 3 tyres). Each Tyre can run up to max 5 km.

How far can you ride the scooter?




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Sunday, 20 March 2016

Scoring maximum run in Cricket puzzle

Puzzle for Cricket fans.
Two batsmen Sachin and Kohli are each on 94 runs.
Seven runs are needed to win in the last 3 balls.

What is the maximum run both can score individually?




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Dice numbering puzzle

James is having 2 dices.
Dice 1- is a normal dice numbered 1 to 6.
Dice 2- is also having 6 faces but with no numbers written on them .
He needs to mark numbers on that 2nd dice so that after throwing both dices simultaneously , all the numbers from 1 to 12 will have equal probability to occur.

How can he do it? and what will be the probability?




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Find the next number in the sequence

What are the next three numbers in this series?

4, 6, 12, 18, 30, 42, 60, 72, 102, 108, ?, ?, ?


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Saturday, 19 March 2016

Which Pizza will you prefer

The 10" pizza sells for $ 5.99 at my domino's pizza.
Domino's claims they have a great deal on the large 12" pizza, which is specially priced at $ 6.90.

What is the per cent discount the store is offering? Which pizza will you buy?




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Friday, 18 March 2016

How many squares would there be in total on chess board

If you were to construct a 8 x 8 checkered square (i.e., a 8 x 8 chess board).

How many squares would there be in total?



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Thursday, 17 March 2016

Teacher and chalkstick saving puzzle

Your teacher has a total of 36 chalks.
When a chalk reduces to 1/6 of its original size, it gets too small for her to hold for writing and hence she keeps it aside. But your teacher hates wasting things and so, when she realizes that she has enough of these small pieces to join and make another chalk of the same size, she joins them and uses the new chalk stick.

If she uses one chalk each day, how many days would the 36 chalks last?




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Vacation at cousin's place puzzle

It was vacation time,  So I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 13 mornings when we did nothing, 16 evenings when we stayed at home, and a total of 11 days when we jogged or played tennis. For how many days did I stay at my cousin's place?


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Wednesday, 16 March 2016

Divide 30 by 1/2 and add ten Tricky Math Puzzle

Divide 30 by 1/2 and add ten. What is the answer?


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Man life in fraction puzzle

Man Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If Man Wrinkle spent 11 years as an old man, Then how many years did he spend as an active man?


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Tuesday, 15 March 2016

Fortune Teller predition puzzle

There is a village that has five fortune tellers. The first fortune teller's prediction has 83% chance of being correct. The second has 63% chance of being correct, The third 44%, The fourth 33 %, and The fifth 5 %. If you were trying to get the best prediction of your future for selecting a one lucky draw coupon out of 2 Coupons, which fortune teller would you go to?


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Hare and tortoise meeting puzzle

Haretown and Tortoiseville are 55 miles apart. A hare travels at 8 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 3 miles per hour from Tortoiseville to Haretown. If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route?


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Monday, 14 March 2016

Fortune Teller predition puzzle

There is a village that has five fortune tellers. The first fortune teller's prediction has 83% chance of being correct. The second has 63% chance of being correct, The third 44%, The fourth 33 %, and The fifth 5 %. If you were trying to get the best prediction of your future for selecting a lucky draw coupon, which fortune teller would you go to?

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Probability of having boy puzzle

In a country where everyone wants a boy, each family continues having babies till they have a boy. After some time, what is the proportion of boys to girls in the country? 
(Assuming probability of having a boy or a girl is the same)