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

Solve the following mathematical puzzle?

?  +  ? = 8  +     +  ?  -  ? = 6  =     =   13    8  

Solution -

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.

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

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

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 .

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 -

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

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

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.

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

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

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.