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Directions: Study the given information and answer the following question.
A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the car's number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.

Further, software provided the following data:
(1) The registration number of each car has a factor 5.
(2) Except the white car, all the other cars have at least three different digits.
(3) The registration number of black car has the highest value numerically.
(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.
(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.
(6) The registration number of white car is exactly a factor of the registration number of black car.
(7) The sum of the digits of registration number of white car is 8.
How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.
Correct answer is '1'. Can you explain this answer?
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Directions: Study the given information and answer the following quest...
Only the registration number of black car i.e.6690 is a multiple of 3.
Given that the registration number of white car has less than 3 different digits. It cannot have only one digit (since no digit occurs 4 times). Hence, the registration number of white car must be a multiple of 5 (i.e. end in a 0 or a 5) and have 2 different digits, i.e. be of the form (aaab/abbb) OR (aabb). Hence, 3a + b = 8 (for which the only possibility is a = 1 and b = 5, since 0 appears only twice) or 2a + 2b = 8 (for which there is no possibility, since 4 does not appear even once and at least one of a and b must be 0 or 5). Hence. only 1115 is possible.
The registration number of white car is exactly a factor of registration number of black car or we can say that the registration number of black car is a multiple of registration number of white car. Multiples of 1115 with four digits are 2230, 3345, 4460, 5575, 6690, 7805 and 8920. Of these, only 6690 is possible (8920 and 7805 are not possible because the registration number of red car should have three digits, which are not in anyone else's registration number, i.e. the registration number of red car should have three digits out of 2, 7, 8 and 9).
Since 9 is present in the registration number of black car, red car's registration number should contain 2, 7, 8 and 5/0. The registration number of grey car will have the digits 3, 3, 5 and 5/0. But, if there are two 5s in the registration number of grey car, it will not have at least three distinct digits. Hence, the registration number of grey car will have the digits 3, 3, 5 and 0 and the registration number of red car will be either 2785 or 2875.
From (5), 2785 + 500 = 3285 and 2875 + 500 = 3375. The registration number of grey car should lie between 3285 and 3475. The only possible values of registration number of grey car are 3350 and 3305. Since both these values are less than 3375, the registration number of red car cannot be 2875. Therefore, the registration number of red car must be 2785 and the registration number of grey car can be 3350 or 3305.
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Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.What is the registration number of white car? Correct answer is '1115'. Can you explain this answer?

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Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer?
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Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. 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 Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer?.
Solutions for Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. 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 Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer?, a detailed solution for Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer? has been provided alongside types of Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the given information and answer the following question.A car servicing company has ten LED boards which are fitted on a wall. Each of them displays the digits from 0-9. They are programmed in such a way that when any car enters the workshop for service, the registration number on the cars number plate will appear on the wall as the digits on the wall-mounted LED boards shall glow to show a 4-digit number. On Monday, 4 cars of different colours, i.e. red, white, black and grey, entered the workshop. Due to faulty software, the only thing that got noted down was the number of times each LED board glowed in total after the 4 cars entered. Hence, the following data was collected.Further, software provided the following data:(1) The registration number of each car has a factor 5.(2) Except the white car, all the other cars have at least three different digits.(3) The registration number of black car has the highest value numerically.(4) The registration number of red car has four different digits, three of which are not present in the registration numbers of any of the other 3 cars.(5) The difference between the registration numbers of red car and grey car has a maximum value of 600 and a minimum value of 500.(6) The registration number of white car is exactly a factor of the registration number of black car.(7) The sum of the digits of registration number of white car is 8.How many of the four cars have a registration number which is a multiple of 3? Key in the correct value.Correct answer is '1'. Can you explain this answer? tests, examples and also practice CAT tests.
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