LOGIC QUEST
enhancing logical ability...
IMPORTANT LOGIC CONCEPT: BLOOD RELATIONS
Published in May2021 issue of ‘VEDIC MATH WORLD’ – magazine
INTRODUCTION:
In our lifetime, the relations related with us are either by birth or by marriage is called blood relation and relations by law respectively. For an example, the relation related by birth is mother, father, brother, sister, etc. and the relation which is related by marriage will be father-in-law, mother-in-law, son, daughter, etc.
In the blood relation question, the clues related to the relation between members of a particular family is given. You need to find out, which relation is do they share. Before preceding ahead, let’s see the list of important relations that are most likely asked in the examination.
UNDERSTAND THE RELATION BETWEEN FAMILY MEMBERS:
RELATIONSHIP | TERMINOLOGY |
Mother’s or Father’s son | Myself/Brother |
Mother’s or Father’s daughter | Myself/Sister |
Uncle’s Daughter or Aunt’s Daughter | Cousin |
Uncle’s Son or Aunt’s Son | Cousin |
Brother’s Son or Sister’s Son | Nephew |
Brother’s Daughter or Sister’s Daughter | Niece |
Daughter’s Husband | Son-in-law |
Son’s Wife | Daughter-in-law |
Husband’s Brother or Wife’s Brother | Brother-in-law |
Husband’s Sister or Wife’s Sister | Sister-in-law |
Husband’s Father or Wife’s Father | Father-in-law |
Husband’s Mother or Wife’s Mother | Mother-in-law |
Mother’s or Father’s brother | Uncle |
Mother’s or Father’s sister | Aunt |
Mother’s or Father’s father | Grandfather |
Mother’s or Father’s mother | Grandmother |
HOW TO SOLVE QUESTIONS OF BLOOD RELATION:
The above mention table will help you out to identify the relation. After identifying the next step to solve the blood relation question. To easily solve the question, you need to follow some basic steps which will make it easy to solve the problems.
To portray a male, you should use the ‘+’ sign in the family tree.
To portray a female, use the ‘- ‘sign in the family tree.
Vertical lines should be used to represent the relationship between different generations like the relation between Grandfather-father or father-son.
Use ‘＝’ to denote married couples and a single line to represent the relationship between siblings.
If there is a relationship that is not defined by the statement, then you should mention it by using ‘?’ or you can use any other symbols as per the suitability.
Question_1:
X is the brother of B, M is the brother of B, K is the father of V and, T is the wife of K. How B is related to T?
Question_2:
Nithya is Samir’s sister. Mohan is Samir’s father. Selvan is Rajan’s son. Rajan is Mohan’s brother. how is Nithya related to Selvan.
Question_3:
A is the Brother of R. C is the father of A. D is the brother of E. E is daughter of B. who is the uncle of D?
DETAILED SOLUTION:
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
SPECIAL CASE OF SITTING ARRANGEMENTS – IMPORTANT TYPE OF LOGIC BUILDING QUESTION
Published in April2021 issue of ‘VEDIC MATH WORLD’ – magazine
INSTRUCTION FOR Q1 TO Q5:
Eight persons- L,M,N,P,Q,R,S and T – Are sitting at a square table such that there are two on each side and they are all facing the centre.
P is sitting between L and S.
Q is sitting two places to the left of L.
R and T are sitting along one side of the square table. R is sitting opposite to L.
M is sitting two places to the left of R.
Who is sitting opposite to P.
(a) S (b) M (c) N (d) Q (e) T
Who is sitting two places to the right of S?
(a) P (b) M (c) T (d) L (e) R
Between which two persons does L sit?
(a) M-P (b) N-P (c) N-R (d) Q-T (e) S-P
Which of the following is a neighbour of L?
(a) S (b) Q (c) P (d) R (e) T
Who is sitting exactly opposite to Q?
(a) S (b) P (c) T (d) N (e) M
Before you go through the solution, you must try to solve the above question yourself.
CORRECT ANSWERS | |||||||||
Answer_1 | (e) T | Answer_2 | (c) T | Answer_3 | (b) N-P | Answer_4 | (c) P | Answer_5 | (e) M |
DETAILED SOLUTION:
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
COMPLEX LINEAR SITTING ARRANGEMENT
AN IMPORTANT TYPE OF LOGICAL DATA INTERPRETATION
Published in March2021 issue of ‘VEDIC MATH WORLD’ – magazine
INSTRUCTION FOR Q1 TO Q4:
There are ten people A, B, C, D, E, P, Q, R, S and T sitting in two parallel rows. five persons namely A, B, C, D and E are sitting in row 1 and face north. P, Q, R, S and T are sitting in row 2 and face south direction but not necessary in the same order.
Therefore, in the given arrangement each member seated in a row faces another member of the other row.
S sits one of the extreme ends of row.
Two persons sits between S and the one who face C.
B is immediate right of C and R faces A.
R is not immediate neighbour of the one who face D.
Q and T are immediate neighbours to each other.
More than two persons sit between B and D.
Q does not face person who sits immediate right of C.
1. Who among the following person sit immediate right of A?
(a) B (b) D (c) E (d) P (e) None of these
2. Who among the following person sits second to the right of one who face P?
(a) C (b) A (c) Q (d) R (e) D
3. Four of the following five are alike in certain way based from a group, find the one that does not belong to that group?
(a) S (b) D (c) T (d) R (e) B
4. How many persons sit between Q and the person who face D?
(a) Three (b) Two (c) More than three (d) One (e) None
Before you go through the solution, you must try to solve the above question yourself.
CORRECT ANSWERS
Answer_1 (e) None
Answer_2 (a) C
Answer_3 (d) R
Answer_4 (b) Two
DETAILED SOLUTION:
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
LOGICAL DATA INTERPRETATION – MOST IMPORTANT WAY TO ENHANCE LOGICAL ABILITY
Published in February2021 issue of ‘VEDIC MATH WORLD’ – magazine
INSTRUCTION FOR Q1 TO Q3:
Four friends-Nivedita, Meetu, Anamika & Karuna whose surnames are Verma, Sharma, Bedi & Basu (not necessarily in that order) were playing Snake & Ladder. They had won 2,4,6 &10 matches (not necessarily in that order). Each of them had a distinct colored token of Red, Blue, Yellow & Green colors. Further it is given as:
Anamika’s surname was not Sharma.
Meetu didn’t have a Red colored token & her surname was Bedi
Nivedita had won 2 matches & Sharma was not her surname
The girl with surname Verma didn’t have a green colored token
The girl with surname Basu didn’t have a blue colored token & she had won 2 more matches than the girl who had red coloured token.
Karuna had blue coloured token.
Meetu didn’t win 6 matches.
The girl who had won 10 matches had a yellow coloured token.
Q1.What was the colour of Anamika’s token?
(a) Green (b) red
(c) yellow (d) cannot be determined
Q2.What is the difference between number of matches won by karuna & Nivedita?
(a) 6 (b) 2
(c) 4 (d) none of these
Q3.What was the surname of the friend who had red colored token?
(a) Bedi
(b) Verma
(c) Sharma
(d) cannot be determined
INSTRUCTION FOR Q4 TO Q11:
Eight persons from different companies, viz. Accenture, Google, Facebook, IBM, Infosys, Microsoft, TCS and Wipro, are sitting in two parallel rows containing four persons each, in such a way that there is an equal distance between adjacent persons. In row 1, J, K, L and M are sitting and all of them are facing north. In row 2, A, B, C and D are sitting and all of them are facing south.
Therefore, in the given seating arrangement each member sitting in a row faces another member of the other row. (All the information given above does not necessarily represent the order of seating as in the final arrangement.)
The person from Infosys faces the one who is on the immediate left of L. L is neither from Google nor from Facebook.
An immediate neighbour of A faces the person from Accenture. The person from Microsoft faces the person who is on the left of the person from Google.
There is only are person sitting between the persons from Google and TCS but that person is not J. The persons from Google and Facebook are not sitting at the extreme ends.
B sits on the immediate left of the person from Infosys. Persons from IBM and Microsoft are immediate neighbour. C and K are not sitting at any of the ends.
M faces the one who is sitting on the immediate right of the person from Microsoft. A is not from Microsoft or IBM.
Q4. Who amongst the following is from Wipro?
(a) A (b) L (c) B (d) M (e) Can’t be determined
Q5. Which of the following statements is false regarding M?
(a) M is from TCS.
(b) M is sitting at one of the extreme ends.
(c) M is on the immediate left of the person who is from Facebook.
(d) M is sitting opposite the person from Microsoft.
(e) All are true
Q6. Four of the following five are alike in a certain way based on the given seating arrangement and thus form a group. Which is the one that does not belong to that group?
(a) C (b) J (c) A (d) K (e) M
Q7. L is from which of the following organizations?
(a) TCS (b) Accenture (c) IBM
(d) Microsoft (e) None of these
Q8. Who is sitting between D and the person from Infosys?
(a) The person who is from Facebook,
(b) B
(c) M
(d) The person who faces the one who is from Facebook
(e) None of these
Q9. D is related to Google in the same way as K is related to Wipro based on the given arrangement. Who amongst the following is L related to, following the same pattern?
(a) TCS (b) Microsoft (c) Infosys
(d) IBM (e) None of these
Q10. Who amongst the following faces the one from Microsoft?
(a) The person who is from Google
(b) L
(c) M
(d) The person who is from Wipro
(e) K
Q11. Who amongst the following sit on extreme ends of the rows?
(a) B and the person from Facebook
(b) The persons from TCS and Infosys
(c) The persons from Accenture and Microsoft
(d) M and the person from Wipro
(e) D and T
CORRECT ANSWERS:
1. (a) Green
2. (c) 4
3. (b) Verma
4. (c) b
5. (d) M is sitting opposite the person from Microsoft.
6. (e) M
7. (b) Accenture
8. (d) The person who faces the one who is from Facebook
9. (b) Microsoft
10.(e) K
11.(d) M and the person from Wipro
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
KAPREKAR’S DEMLO NUMBERS
Published in January2021 issue of ‘VEDIC MATH WORLD’ – magazine
INTRODUCTION:
Kaprekar studied the Demlo numbers. He got an idea of studying these numbers at a train station 30 miles from Bombay on the then Great Indian Peninsula Railway, and studied them. The concept of “Demlo numbers” numbers is very interesting.
SMART TRICK #1
Demlo numbers are 1, 121, 12321, …
These numbers are the squares of 1, 11, 111 … respectively.
For more details, you can take reference of the below examples.
(1)2 = 1
(11)2 = 121
(111)2 = 12321
(1111)2 = 1234321
(11111)2 = 123454321
(111111)2 = 12345654321
Trick here to answer the squares of the numbers made up of 1’s is very simple. First, we are supposed to count the number of digits a given number possess. Let’s say, it is a four digited number i.e. (1111)2
Now, to answer this, write four consecutive natural number starting from 1. So, the answer would begin with 1234….
Once you have written four numbers, you would write all the natural numbers in the descending order up to 1.
Thus, the complete answer for (1111)2 becomes 1234321.
WHAT ANSWER DO YOU GET FOR (11111111)2 ?
SMART TRICK #2
You can apply this on the squares of the numbers made up of 9’s only and see the effect.
For more details, you can take reference of the below examples.
(9)2 = 81
(99)2 = 9801
(999)2 = 998001
(9999)2 = 99980001
(99999)2 = 9999800001
(999999)2 = 999998000001
Trick here to answer the squares of the numbers made up of 9’s is very simple. First, we are supposed to count the number of digits a given number possess. Let’s say, it is a four digited number i.e. (9999)2
Now, to answer this, if you have four nines, write three 9’s followed by one ‘8’. i.e. 9998… to begin with.
After that, write three zeroes and lastly writ ‘1’ in the unit digit. i.e. ….0001
Thus, the complete answer for (9999)2 becomes 99980001.
WHAT ANSWER DO YOU GET FOR (99999999)2 ?
Hope you liked these tricks. Use them on regular basis.
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
RAMANUJAN’S MAGIC SQUARE
Published in December2021 issue of ‘VEDIC MATH WORLD’ – magazine
VIDEO SESSION LINK FOR RAMANUJAN’S MAGIC SQUARE: CLICK HERE
INTRODUCTION: RAMANUJAN’S MAGIC SQUARE
The figure given here is very famous magic square of the great Indian Mathematician S. Ramanujan. A very common question which pop up in anyone’s mind can be, ‘What is so special about this square?’. To understand its magic, one needs to observe it keenly. We would suggest you to observe this square and the numbers that it contains. Once you are done, have a read of this article. (Refer PDF or watch the video from above given link for the figure)
STEP 1: OBSERVE THE SUM OF ANY OF THE GIVEN FOUR ROWS
Here, if you sum up numbers of any rows, the sum shall be same i.e. 139.
22 + 12 + 18 + 87 = 139
88 + 17 + 9 + 25 = 139
10 + 24 + 89 + 16 = 139
19 + 86 + 23 + 11 = 139
You check it out yourself.
STEP 2: OBSERVE THE SUM OF ANY OF THE GIVEN FOUR COLUMNS
Here, if you sum up numbers of any column, the sum shall be same i.e. 139.
22 + 88 + 10 + 19 = 139
12 + 17 + 24 + 86 = 139
18 + 9 + 89 + 23 = 139
87 + 25 + 16 + 11 = 139
You check it out yourself.
STEP 3: OBSERVE THE SUM OF DIAGONALS
Here, if you sum up numbers of any diagonals, the sum shall be same i.e. 139.
22 + 17 + 89 + 11 = 139
19 + 24 + 9 + 87 = 139
You check it out yourself.
STEP 4: OBSERVE THE SUM OF THE CORNERS
Here, if you sum up all the four numbers of the corners, the sum shall be same i.e. 139.
22 + 87 + 11 + 19 = 139
You check it out yourself.
STEP 5: OBSERVE THE SUM OF THE COLOURED BOXES
Here, if you sum up all the numbers of the same-coloured boxes in each case, the sum shall be same i.e. 139.
You might be very much surprised to see ‘139’ sum in each and every pattern explained in above all five steps. It will make you thrill to know that; the great Indian Mathematician Srinivasan Ramanujan was born on 22nd December, 1887. Observe the following figure, you will easily notice the amazing intellect of S. Ramanujan. This MAGIC-SQUARE was designed by Srinivasan Ramanujan and since then it is known as ‘Ramanujan’s Magic-Square’
VIDEO SESSION LINK FOR RAMANUJAN’S MAGIC SQUARE: CLICK HERE
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
AMAZING MATHEMATICS OF RUBIK’S CUBE:
Published in November2021 issue of ‘VEDIC MATH WORLD’ – magazine
To watch detailed video session: CLICK HERE
”We turn the Cube and it twists us.”
-Erno Rubik
Rubik’s Cube is a 3D puzzle which enhances a person’s mathematical skills along with the sharpening of logical ability. It improves the concentrations and enables the brain to make a strategic solution to a complex problem.
As, it is the Navaratri special issue of ‘Vedic Math world’, again, in this column too, we shall talk about the number ‘9’. Rubik’s cube has six different colours on its six faces and each face has ‘9’ elements.
Rubik’s cube is a puzzle which is made up of twenty-six smaller cubes (in a cube of 3X3). This cube has six different colours on its six faces namely white, yellow, red, orange, blue and green. The cube is jumbled and we need to twist and turn the smaller cubes to make them arrange in a way that each side has a one colour. There is no specific method by which we can solve Rubik’s cube. There are many ways to solve the Rubik’s cube.
Some people sharpened their logic and some others improved upon their concentration with solving Rubik’s cube on regular basis. No matter how scrambled a cube gets, a few moves can solve the entire cube. Mathematically the Rubik’s Cube is a permutation group. It has 6 different colors and each color is repeated exactly 9 times. Rubik’s Cube takes its name from its creator, the Hungarian sculptor, designer, and architect named, Ernő Rubik. It won the recognition in Germany as the Best Game of the Year in puzzle category 1980.
Forty-three quintillion, to be precise, 43,252,003,274,489,856,000 – Yes! This impressive figure is the number of tile combinations possible in the Rubik’s Cube. Looking at this number, it seems to be an impossible mission so solve the entire cube at first go!
A surprizing fact is, minimum number of movements necessary to solve the puzzle from any of the more than 43 quintillion possible combinations, even the most difficult is known as “God’s number”. In 2010, a group of researchers proved that there was no initial position that required more than 20 movements to solve the puzzle, thus it was established: God’s number was 20. The solution to Rubik’s cube as God’s number shall be: U R2 F B R B2 R U2 L B2 R U0 D0 R2 F R0 L B2 U2 F2.
To understand in better way, let’s understand the same with the nomenclatures. We must know how to read the terminology of the Rubik’s cube:
F: front B: Back
R: right L: left
U: up D: down
Clockwise rotations (CW) : F B R L U D
Anti-clockwise rotations (ACW) : F’ B’ R’ L’ U’ D’
Remember:
There are three types of pieces: Centre piece, Edge piece, Corner piece
Centre piece maintains its position with the respect to the opposite centre piece.
No matter how many times you jumble the layers or various pieces of the Rubik’s cube, the following centre pieces would be opposite to each other:
1. White – Yellow
2. Red – Orange
3. Blue – Green
SOME MORE INTERESTING MATH-FACTS OF RUBIK’S CUBE:
Mathematically, Rubik’s cube is the puzzle of the area called ‘Permutation’.
Edges permutations: 12!
Edges orientations: 212
Corners permutations: 8!
Corners orientations: 38
Total: 12! × 212 × 8! × 38
How total permutations of the Rubik’s Cube is counted?
Edges and corners have same permutation parity. Total number of valid configurations shall be,
= (12! × 8! × 212× 38 )/( 2 × 3 × 2)
= 43, 252, 003, 274, 489, 856, 000
Interesting… Isn’t it?
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
AMAZING MATHEMATICS OF RUBIK’S CUBE:
Published in October2021 issue of ‘VEDIC MATH WORLD’ – magazine
To watch detailed video session: CLICK HERE
”We turn the Cube and it twists us.”
-Erno Rubik
Rubik’s Cube is a 3D puzzle which enhances a person’s mathematical skills along with the sharpening of logical ability. It improves the concentrations and enables the brain to make a strategic solution to a complex problem.
As, it is the Navaratri special issue of ‘Vedic Math world’, again, in this column too, we shall talk about the number ‘9’. Rubik’s cube has six different colours on its six faces and each face has ‘9’ elements.
Rubik’s cube is a puzzle which is made up of twenty-six smaller cubes (in a cube of 3X3). This cube has six different colours on its six faces namely white, yellow, red, orange, blue and green. The cube is jumbled and we need to twist and turn the smaller cubes to make them arrange in a way that each side has a one colour. There is no specific method by which we can solve Rubik’s cube. There are many ways to solve the Rubik’s cube.
Some people sharpened their logic and some others improved upon their concentration with solving Rubik’s cube on regular basis. No matter how scrambled a cube gets, a few moves can solve the entire cube. Mathematically the Rubik’s Cube is a permutation group. It has 6 different colors and each color is repeated exactly 9 times. Rubik’s Cube takes its name from its creator, the Hungarian sculptor, designer, and architect named, Ernő Rubik. It won the recognition in Germany as the Best Game of the Year in puzzle category 1980.
Forty-three quintillion, to be precise, 43,252,003,274,489,856,000 – Yes! This impressive figure is the number of tile combinations possible in the Rubik’s Cube. Looking at this number, it seems to be an impossible mission so solve the entire cube at first go!
A surprizing fact is, minimum number of movements necessary to solve the puzzle from any of the more than 43 quintillion possible combinations, even the most difficult is known as “God’s number”. In 2010, a group of researchers proved that there was no initial position that required more than 20 movements to solve the puzzle, thus it was established: God’s number was 20. The solution to Rubik’s cube as God’s number shall be: U R2 F B R B2 R U2 L B2 R U0 D0 R2 F R0 L B2 U2 F2.
To understand in better way, let’s understand the same with the nomenclatures. We must know how to read the terminology of the Rubik’s cube:
F: front B: Back
R: right L: left
U: up D: down
Clockwise rotations (CW) : F B R L U D
Anti-clockwise rotations (ACW) : F’ B’ R’ L’ U’ D’
Remember:
There are three types of pieces: Centre piece, Edge piece, Corner piece
Centre piece maintains its position with the respect to the opposite centre piece.
No matter how many times you jumble the layers or various pieces of the Rubik’s cube, the following centre pieces would be opposite to each other:
1. White – Yellow
2. Red – Orange
3. Blue – Green
SOME MORE INTERESTING MATH-FACTS OF RUBIK’S CUBE:
Mathematically, Rubik’s cube is the puzzle of the area called ‘Permutation’.
Edges permutations: 12!
Edges orientations: 212
Corners permutations: 8!
Corners orientations: 38
Total: 12! × 212 × 8! × 38
How total permutations of the Rubik’s Cube is counted?
Edges and corners have same permutation parity. Total number of valid configurations shall be,
= (12! × 8! × 212× 38 )/( 2 × 3 × 2)
= 43, 252, 003, 274, 489, 856, 000
Interesting… Isn’t it?
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
VIRAL PUZZLE ON WHAT’S APP: ‘WITCH_WAND_BROOM’
CAN YOU SOLVE IT?
Published in September2021 issue of ‘VEDIC MATH WORLD’ – magazine
This column is basically denoted to some logics which are very famous social media. Today, we are going to share a question, which has been viral on what’s app groups.
This question has been famous as WITCH_WAND_BROOM puzzle. This puzzle was of the genre of simple arithmetics. The puzzle has a series of three numerical equations. In the numeral problems a combination of images which have a numerical value. The picture of the puzzle is given below.
Look at the image given on right side. The image of witch, wand and broom. Each equation has a numeral value. There are two mathematical operations used here i.e. addition and multiplication. So, one needs to solve the equation by substituting the image with a numeral value to solve for the last equation.
Pause here. Don’t read the solution. Try to find answer yourself. One you are done with your answer, check the detailed solution here, given below.
Detailed solution:
Step1:
Find the value of the wand first with the reference of the second arithmetic equation.
3(wand) = 21
1(wand) = 21/3 = 7
Step2:
Find the value of brooms from the third arithmetic equation.
4(Broom) = 12
1 (Broom) = 3
You must be thinking, there is some error because you can see only three brooms in first go. But, actually there are 4 brooms in the 3rd equation. In the middle, there are 2 brooms placed one on the another.
Step3:
Find the value of the witch from the first equation. Well, in this witch is holding a broom and a wand in all the terms.
3(witch + wand + broom) = 45
1(witch + wand + broom) = 15
1(witch + 7 + 3 ) = 15
witch + 10 = 15
witch = 15 – 10 = 5
witch = 5
Step 4:
Finding the value for the fourth equation.
Broom + Witch X Wand
Now, according to BODMASS, we need to multiply first then can add.
= 3 + 5 X 7
= 3 + 35
= 38
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
A logic Puzzle had two answers!! – A debatable Question on Internet.
Published in August2021 issue of ‘VEDIC MATH WORLD’ – magazine
Dear all,
This column is basically denoted to some logics which are very famous on entire world of internet. Today, we are going to share a question, which has two answers and logically they both are correct. You might feel, this can not be possible. But, it is absolutely true!
The question is as follows:
1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
8 + 11 = ?
The above question has taken a toll of everyone on internet. Why? Because it has two correct logics to get two different answers! This reason was enough to have a great heated argument between two groups defending their logic. People who got same answers naturally supported the other fellow mates and so on. Very few could reach to the first answer i.e. logic explained in the solution 1. Let’s understand the logic here.
First of all, you find out the answer of the above question yourself.
The two answers to this puzzle are 40 and 96.
How can one question have two correct answer? The entire solution stepwise shall be shown in this article.
Solution#1:
1 + 4 = 5 ________________ (1X4) + 1 = 5
2 + 5 = 10 ________________ (2X5) + 2 = 12
3 + 6 = 21 ________________ (3X6) + 3 = 21
8 + 11 = ? ________________ (8X11) + 8 = 96
Thus, logic for the very first solution is decoded like as follows:
If the given numbers given are A, B and C. The operations of the numbers were like,
A + B = C then, C = (AxB)+A
This way the answer got is 96.
Solution#2:
1 + 4 = 5 ________________ 1 + 4 + 0 = 5
2 + 5 = 10 ________________ 2+ 5 + 5 = 12
3 + 6 = 21 ________________ 3 + 6 + 12 = 21
8 + 11 = ? ________________ 8 + 11 + 21 = 40
Thus, logic for the second solution is decoded like as follows:
If the given numbers given are A, B, C, D, E and F. The operations of the numbers were like,
A + B = C
D + E = F = D + E + (C)
This way, we got the answer 40.
So, It is nothing unusual to get two correct answers as this question was based on finding the pattern of the logic with which the numbers come up.
However, many intellectuals have agreed upon the point that both the answers can be correct since it was not a math puzzle but a logic puzzle. And, when logic goes correct in series, there is no point of denying any of the answers. So, ‘40’ and ‘96’ – both are correct answers in its own way of logical representation.
Hope you enjoyed this article.
To know more and to watch the video about this article please click the link given below.
https://youtu.be/DalhExoTUGA
Increase upon your logical ability enthusiastically. We are with you in this!
For detailed solution, please visit the magazine page and read either in 3D flip & Read section or download the PDF for the respected month of the magazine issue. You can search all published issue in the ‘ARCHIVE’ section.
VIRAL MATH PROBLEM ON INTERNET!
Published in July2021 issue of ‘VEDIC MATH WORLD’ – magazine
Namaskar!
In this article, we are going to share a ‘Viral Math Problem’ which is booming on internet. It is available on Facebook and other social media platforms. Millions of people trying to find answer of the question and getting into a debate over the correct answer. So, there is actually going a great debate over the correctness of the answer on social media.
In this article, we are trying to show you the correct approach to solve the question showcased here the top left-hand side in pictorial format. If you want to enjoy reading this article more, you need to pause here and solve the question first. Then, when you look at the solution, you will understand why the question is debatable! We are providing the best solution possible here below:
While solving very first equation of the question, wherein sum of three apples are given as 30. We can easily conclude that one apple would be 10. This part of the question or solution is quite simple and there is no any debate included in this part of explanation. Have a look at the step1.
Till here, the things are clear. Now focusing on the second equation given in the question. The second equation has an apple added along with the two bunches of bananas. Now, here the great debate starts. Some people considered, while solving, two bunches of bananas. Whereas, other group of people chose to consider number of bananas.
Here, in one bunch there are four bananas. Such two bunches are available. So, in total, there are eight bananas. We shall prefer the latter conceptualization. This way we shall add an apple in eight bananas. Apple is having value ‘10’. So, in the given equation, while solving we get value of one banana as ‘1’. You can see the below image to understand it in more detail.
Now, we know that one apple possesses the value ‘10’ and one banana ‘1’. Now while solving the third equation, in which deduction of one whole coconut from one bunch of four bananas is given as ‘2’. Now, one banana being ‘1’, four bananas would possess value ‘4’. This way we shall get the value of one whole coconut as ‘2’.
Now, the last step of solving the question is the final equation, given below. We already know, one apple is ‘10’. One banana makes ‘1’. One whole coconut makes ‘2’. But the question is half coconut added into one apple added into three bananas. Yes! This is just not a math problem, but also an observational logical problem as well. One whole coconut was ‘2’, so half coconut would be ‘1’. One apple stands for ‘1’. Three bananas would be ‘3’ as one banana is ‘1’. This way the given equation possesses the value 1 + 10 + 3 = 14.
This was an interesting algebraic question. Hope you all enjoyed solving this!
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