#81 - Algebra Riddle

Solve the equation by replacing alphabet with number.

MOM + MOM + NO = BOOK=

757+757+45=1559

#82 - Algebra MCQ Puzzle

ENEMY = 2 * LINK
LINK + 2 = HELL

Then what will be TAXI + HELL? Select from the options below:
a) ROTTEN
b) DANGER
c) HEAVEN
4) MORTAL

The answer is HEAVEN.

ENEMY = 4 + 3 + 4 + 4 + 3 = 18
LINK = 2 + 1 + 3 + 3 = 9
HELL = 3 + 4 + 2 + 2 = 11
TAXI = 2 + 3 + 2 + 1 = 8
HEAVEN = 3 + 4 + 3 + 2 + 4 + 3 = 19

Therefore, TAXI + HELL = 8 + 11 = 19 = HEAVEN.

#83 - Letter To Number Puzzle

In the figure that has been attached with this question, each digit represents a digit. The similar letters carry the same integer value.Can you expose the original digits?

Letter To Number Puzzle

See the picture for the answer. T = 1W = 3O = 8H = 9R = 0E = 4

#84 - Mathematical Symbols Riddle

Can you make the number 24 by utilizing the numbers 1, 3, 4 and 6? You must use one number only one time and you can use mathematical operation symbols anytime anywhere.

6/(1 - 3/4) = 24

#85 - Brain Twist Math Equation

Can you write a mathematical expression having a value of twenty four, that uses three equal digits, none of them being eight.

22 + 2 = 24

#86 - 8 Number Grid Puzzle

You are provided with a grid (as shown in the picture). Can you fill the squares with numbers 1-8 in a manner that none of the two consecutive numbers are placed next to each other in any direction (vertically, horizontally or diagonally?)

8 Number Grid Puzzle

This problem can be solved in four different ways. The picture shows you one of the solutions. Can you find out the other three?

#87 - Complete The Equation Puzzle

Below, you can see three complete equations and one incomplete. Based on the three complete ones, can you complete the incomplete one?

5 $ 4 $ 3 $ 9 = 4215
6 $ 9 $ 2 $ 6 = 3816
4 $ 7 $ 3 $ 3 = 1122
7 $ 2 $ 7 $ 4 = ____

2418 is the answer.

The algo that has been used here is

A $ B $ C $ D = [first digit of (A * D)] [last digit of (B * C)] [first digit of (B * C)] [last digit of (A * D)]

Using the same algo,
7 $ 2 $ 7 $ 4 = [first digit of (7 * 4)] [last digit of (2 * 7)] [first digit of (2 * 7)] [last digit of (7 * 4)]
= 2418

#88 - Matchstick Equation Puzzle

An equation has been laid down using a few matchsticks. However, as you can see, the equation is not correct. Can you correct the equation if you are allowed to add or remove 5 matchsticks?

Matchstick Equation Puzzle

As you can see in the answer figure, the equation stands true now. Compare the images to know what we have done.

#89 - Mathematical Proof Puzzle

Below, you will find the mathematical proof that 10 equals 9.99999…. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

Mathematical Proof Puzzle

No error is present in this proof and 10 is actually equal to 9.99999…. The proof is absolutely correct.

#90 - Math Algebra Equation Problem

Can you find out the value of x in the following equation?

(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)

Math Algebra Equation Problem

(2^x)(30^3) = (2^3) (3^3) (4^3) (5^3)

(2^x)(30^3) = (120^3)

(2^x) = (120^3)/ (30^3)

(2^x) = (4^3)

(2^x) = 64

ln(2^x) = ln(64)

x ln(2) = ln(64)

x = ln(64)/ln(2)

x = 6

Thus x = 6.