#81 - Hard Number 100 Riddle

By using all numbers, i.e. 123456789 and subtraction/addition, operators number 100 can be formed in many ways.
Example 98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100

But if we add a condition that use of the number 32 is the must. Then there are limited solutions.
One of such solution is: 9 - 8 + 76 + 54 - 32 + 1 = 100

Can you tell any other solution?

9 - 8 + 7 + 65 - 4 + 32 - 1 = 100
9 - 8 + 76 + 54 - 32 + 1 = 100

Other ways of making number 100 (withiout using number 32)
98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100
98 - 7 - 6 - 5 - 4 + 3 + 21 = 100
9 - 8 + 76 - 5 + 4 + 3 + 21 = 100
98 - 7 + 6 + 5 + 4 - 3 - 2 - 1 = 100
98 + 7 - 6 + 5 - 4 + 3 - 2 - 1 = 100
98 + 7 - 6 + 5 - 4 - 3 + 2 + 1 = 100
98 - 7 + 6 + 5 - 4 + 3 - 2 + 1 = 100
98 - 7 + 6 - 5 + 4 + 3 + 2 - 1 = 100
98 + 7 - 6 - 5 + 4 + 3 - 2 + 1 = 100
98 - 7 - 6 + 5 + 4 + 3 + 2 + 1 = 100
9 + 8 + 76 + 5 + 4 - 3 + 2 - 1 = 100
9 + 8 + 76 + 5 - 4 + 3 + 2 + 1 = 100

#82 - Correct Dress Probability Problem

A mother bought three dress for her triplets daughters(one for each) and put the dresses in the dark. One by one the girls come and pick a dress.
What is the probability that no girl will choose her own dress?

1/3

Explanation
Assuming D1 is the dress for Sister1, D2 is the dress for Sister2 and D3 is the dress for Sister3.

Therefore the total number of cases are illustrated below.

Sister1 Sister2 Sister3
D1 D2 D3
D1 D3 D2
D2 D1 D3
D2 D3 D1 ..... (1)
D3 D1 D2 .... (2)
D3 D2 D1

In both steps (1) & (2), no one gets the correct Dress.
Therefore probability that no sister gets the correct dress is 2/6 = 1/3

#83 - Hard Missing Number Series

Can you complete below number series by replacing "?" with the correct number.

10 # 10 # 20 # ? # 110 # 300 # 930

45

Pattern goes like
10
10 * 0.5 + 5 => 10
10 * 1.0
+ 10 => 20
20 * 1.5 + 15 => 45(Ans)
45 * 2.0 + 20 => 110
110 * 2.5 + 25 => 300
300 * 3.0 + 30 => 930

#84 - Good Age Riddle

Lena Dunham , Allison Williams, and Jemima Kirke are 3 daughters of a good mathematician "Geroge".
When I asked George the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters ?

Lena Dunham : 2 , Allison Williams : 5 and Jemima Kirke : 7

Age diff : 7-2 is 5 , 7-5 is 2 and 5-2 is 3 which all are prime numbers

#85 - Smart Algebra Equation Riddle

If
Aakriti = 742
Lavesh = 622
Shruti = 620
Anmol = 522
Then,
Sonal = ?

522

1st Number = Number of alphabets
2nd Number = Number of vowels
3rd Number = Number Of Circles

Example,
Lavesh = 6 alphabets + 2 vowels(a,e) + 2 circles(in "a" and in "e") = 622

#86 - The Stairs Riddle

You need to climb ten stairs. At every stair, you can either take one step up or you can jump two steps up.

In how many different ways you can climb 10 stairs?

89

#87 - Popular Algebraic Equation Puzzle

0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

You can use any mathematical symbols in the space provided to make all above algebraic expressions true.

(0! + 0! + 0! )! =6
(1! + 1! + 1! )! =6
2 + 2 + 2 = 6
3 * 3 - 3 = 6
4 + 4 -sqrt(4) = 6
5 + 5 / 5 = 6
6 + 6 - 6 = 6
7 - 7 / 7 =6
8 - sqrt(sqrt(8+8) = 6
(9 + 9) / sqrt(9) = 6

#88 - Math Pyramid Puzzle

You need to solve the below maths pyramid puzzle by replacing question mark with the perfect numbers.

168
12 14
? 2 ?
? 2 1 ?

A number if formed by multiplying two numbers below it.

168
12 14
6 2 7
3 2 1 7

#89 - Maths QuickFire Riddle

What is the value of √16% ?

40%

Explanation: br>√16%
=√14/√100
=4/10
=40/100=40%

#90 - Algebra Maths Equation Riddle

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

(1+9+6+8+3)*(1+9+6+8+3)*(1+9+6+8+3) = 19683

J = 1, O = 9, I = 6, N = 8, T = 3