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Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.
When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.
He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. Let each letter in them represent a distinct non-negative digit, and the words themselves represent a number when alphabets are replaced by the respective digits. Then for a unique combination, the sum of two of the numbers is equal to the third. If you tell me which letter represents which digit, I will acknowledge your prowess".
The astrologer became completely flummoxed and asked Vijay for a clue. Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"
Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.
Q. What is the square root of TS? (Enter the closest integer if in decimal)
    Correct answer is '9'. Can you explain this answer?
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    Vijay was travelling with his wife and child. When he reached Haridwar...
    In such questions, we can draw a table as shown below. But the digit as shown in the third row is not necessarily the sum of the digits in the first two columns, as we know that in addition, we have carry-forward. This means that if the sum of two digits yields a two-digit sum, the tens digit is carried forward to the forward column and only the ones digit is written.
    The alphabets in the units place are S S and O. So we have units digit of S + S = O or S + O = S 
    Case 1: S + O = S
    ⇒ O = zero and S,T,P are non zero. Hence SCORPIO will be a 7 digit number and TAURUS and PISCES will be 6 digit numbers. We can't get a 6 digit number by adding a 7 digit number and a 6 digit number. Hence this case case is not possible.
    Case 2: S + S = O
    The sum will look like as below:

    In the last column, we can see that S+S=O. Hence S can't be zero as O will also be zero then. 
    We know that the maximum sum of any two distinct digits can be 17, and the minimum can be 3. Since S cannot be zero S can only attain a value of 1, which is carried forward. Since there is a carry forward, neither of T and P can be zero.
    In the last column, we can see that S+S=O. Hence the value of O is 2.
    Also, UR and US are consecutive numbers. As S=1, R can be either 0 or 2. Since O has the value 2 already, R will be 0. The sum looks like this:

     
    Here we can see that in the third last column, 0 is added to C to get P. Now since each letter represents a unique number, 1 must have been carried forward from the sum of U and E. So we have the following equations:
    U+E=10+I
    C+1=P or C+1=10+P
    Now C+1 cannot be 10+P as only 1 is being added to C here. So to give a two digit number, C will be 9 and P will be 0, which is not possible as 0 is already assigned to R. Hence C+1=P.
    Hence no carry-forward is there from the third last column. This means that U+1=0, and U=9. The distribution of digits to letters looks as follows:

    Now, we need to do hit and trial to ascertain the values of other letters. Since it has been given that there is a unique combination, we need to do trials only till we find a solution.
    As P=C+1, we will place them in consecutive positions on the above distribution. We will try with 3 and 4:

    Now, since the sum in the 4th column is 10, so 1 will get carried forward to column 3. Hence the equation for column 3:
    A+I+1=10+2, as sum of A and I cannot be 2, as 0 and 1 are already taken. So the sum is a two-digit number.
    We have A+I=11.
    In the distribution, we have only 5 and 6 left which can give a sum of 11.

    Since the sum in column 3 is 11, 1 will get carried forward to column 2, and we get:
    T+P+1=13, since C=3.
    Hence T+P=12. Now P=4, so T=8 and E=7.
    Since U+E=10+I, I= 9+7-10= 6 and A=5.
    The final distribution:
    So TS = 81 and its square root= 9.
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    Most Upvoted Answer
    Vijay was travelling with his wife and child. When he reached Haridwar...
    Explanation:

    Given Information:
    - The zodiac signs mentioned are Taurus, Pisces, and Scorpio.
    - The total number of distinct alphabets in these zodiac signs is 10.
    - The words can be represented as numbers by replacing alphabets with digits.
    - The sum of two of the numbers is equal to the third.

    Clue:
    - US and UR represent two consecutive two-digit numbers.

    Solution:
    - Let's assign digits to each of the distinct alphabets in the zodiac signs:
    - Taurus = TAU = 1, A, U, S = 1, 2, 3, 4
    - Pisces = PIC = 5, I, C = 5, 6, 7
    - Scorpio = SCO = 8, C, O = 8, 6, 9
    - From the clue, US and UR represent two consecutive two-digit numbers.
    - Let's assign U = 2 and S = 3. So, T = 1, A = 4.
    - Now, P = 5, I = 6, C = 7. So, the number represented by Pisces is 567.
    - Similarly, O = 9, R = 0. So, the number represented by Scorpio is 896.
    - The sum of Pisces and Scorpio is 567 + 896 = 1463, which means Taurus represents 1463.
    - Now, TS = 14. Taking the square root of 14 gives us approximately 3.74, which when rounded to the nearest integer, is 4.
    Therefore, the square root of TS is approximately 4.
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    Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. Let each letter in them represent a distinct non-negative digit, and the words themselves represent a number when alphabets are replaced by the respective digits. Then for a unique combination, the sum of two of the numbers is equal to the third. If you tell me which letter represents which digit, I will acknowledge your prowess".The astrologer became completely flummoxed and asked Vijay for a clue. Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.Q.What is the square root of TS? (Enter the closest integer if in decimal)Correct answer is '9'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. Let each letter in them represent a distinct non-negative digit, and the words themselves represent a number when alphabets are replaced by the respective digits. Then for a unique combination, the sum of two of the numbers is equal to the third. If you tell me which letter represents which digit, I will acknowledge your prowess".The astrologer became completely flummoxed and asked Vijay for a clue. Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.Q.What is the square root of TS? (Enter the closest integer if in decimal)Correct answer is '9'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. Let each letter in them represent a distinct non-negative digit, and the words themselves represent a number when alphabets are replaced by the respective digits. Then for a unique combination, the sum of two of the numbers is equal to the third. If you tell me which letter represents which digit, I will acknowledge your prowess".The astrologer became completely flummoxed and asked Vijay for a clue. Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.Q.What is the square root of TS? (Enter the closest integer if in decimal)Correct answer is '9'. Can you explain this answer?.
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Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.Q.What is the square root of TS? (Enter the closest integer if in decimal)Correct answer is '9'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. Let each letter in them represent a distinct non-negative digit, and the words themselves represent a number when alphabets are replaced by the respective digits. Then for a unique combination, the sum of two of the numbers is equal to the third. If you tell me which letter represents which digit, I will acknowledge your prowess".The astrologer became completely flummoxed and asked Vijay for a clue. Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.Q.What is the square root of TS? (Enter the closest integer if in decimal)Correct answer is '9'. Can you explain this answer?, a detailed solution for Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. Let each letter in them represent a distinct non-negative digit, and the words themselves represent a number when alphabets are replaced by the respective digits. Then for a unique combination, the sum of two of the numbers is equal to the third. If you tell me which letter represents which digit, I will acknowledge your prowess".The astrologer became completely flummoxed and asked Vijay for a clue. Then Vijay gave this clue: "US and UR represent two consecutive two-digit numbers"Master of Ancient Vedic mathematics, the astrologer easily derived the solution and Vijay bowed in respect.Q.What is the square root of TS? (Enter the closest integer if in decimal)Correct answer is '9'. Can you explain this answer? has been provided alongside types of Vijay was travelling with his wife and child. When he reached Haridwar, his wife wanted to see an astrologer. Vijay, a mathematician, did not believe in astrology.When they went there, the astrologer told the zodiac sign for each of them, which were Taurus, Pisces and Scorpio, in no order. Then he started telling about what the future holds. Meanwhile, Vijay started working on a puzzle related to these zodiac names.He interrupted the astrologer and declared: "The three zodiac names that you just said have in total 10 distinct alphabets. 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