All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  Vijay was travelling with his wife and child.... Start Learning for Free
SaveJoin the Discussion on the App
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. How many factors does the number CO have?
  • a)
    2
  • b)
    4
  • c)
    5
  • d)
    6
Correct answer is option 'D'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
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:
CO = 32 = 25. So it has 5 + 1 = 6 factors.
View all questions of this test
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

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?

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.Which letter among the following has the highest value of digit associated with it?

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.The values of which of the following letters if exchanged with S will lead to the maximum change in the value of Scorpio? (Consider this independently and after the values have been assigned to the letters.)

Directions: Read the following passage and answer the questions that follow:To the superficial observer scientific truth is unassailable, the logic of science is infallible; and if scientific men sometimes make mistakes, it is because they have not understood the rules of the game. Mathematical truths are derived from a few self-evident propositions, by a chain of flawless reasonings; they are imposed not only on us, but on Nature itself. By them the Creator is fettered, as it were, and His choice is limited to a relatively small number of solutions. A few experiments, therefore, will be sufficient to enable us to determine what choice He has made. From each experiment a number of consequences will follow by a series of mathematical deductions, and in this way each of them will reveal to us a corner of the universe. This, to the minds of most people, and to students who are getting their first ideas of physics, is the origin of certainty in science. This is what they take to be the role of experiment and mathematics. And thus, too, it was understood a hundred years ago by many men of science who dreamed of constructing the world with the aid of the smallest possible amount of material borrowed from experiment.But upon more mature reflection the position held by hypothesis was seen; it was recognised that it is as necessary to the experimenter as it is to the mathematician. And then the doubt arose if all these constructions are built on solid foundations. The conclusion was drawn that a breath would bring them to the ground. This sceptical attitude does not escape the charge of superficiality. To doubt everything or to believe everything are two equally convenient solutions; both dispense with the necessity of reflection.Instead of a summary condemnation we should examine with the utmost care the rôle of hypothesis; we shall then recognise not only that it is necessary, but that in most cases it is legitimate. We shall also see that there are several kinds of hypotheses; that some are verifiable, and when once confirmed by experiment become truths of great fertility; that others may be useful to us in fixing our ideas; and finally, that others are hypotheses only in appearance, and reduce to definitions or to conventions in disguise. The latter are to be met with especially in mathematics and in the sciences to which it is applied. From them, indeed, the sciences derive their rigour; such conventions are the result of the unrestricted activity of the mind, which in this domain recognizes no obstacle. For here the mind may affirm because it lays down its own laws; but let us clearly understand that while these laws are imposed on science, which otherwise could not exist, they are not imposed on Nature. Are they then arbitrary? No; for if they were, they would not be fertile. Experience leaves us our freedom of choice, but it guides us by helping us to discern the most convenient path to follow. Our laws are therefore like those of an absolute monarch, who is wise and consults his council of state.In the sentence, “By them the Creator is fettered, as it were, and His choice is limited to a relatively small number of solutions”, the “them” refers to

DIRECTIONS for the question: Read the information given below and answer the question that follows.To open a software lock, you have to type elements in sequence using a keyboard. The sequence is called a combination. All accepted combinations must consist of exactly five elements i.e. four letters and one single digit number. Acceptable combinations must also confirm to the following rules:1. The number must be either the second or third element in the combination.2. The fourth and fifth element in the combination must not be the same.3. If the third element is a number, then the fifth must be either B or D.4. If the third element is a letter, then there must be no Fs or Gs in the combination.5. The first element must be a letter closer to the beginning of the alphabet than any other element in the combination.Q. The combination C, Q, 8, P, F can be made acceptable by doing which of the following?

Top Courses for CATView all

Top Courses for CAT

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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. Can you explain this answer?
Question Description
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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. Can you explain this answer?.
Solutions 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. 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. 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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.How many factors does the number CO have?a)2b)4c)5d)6Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup