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Which of these is largest 4 digit number which when added to 7249 can be divided by 12,14,21,33 and 54.options:- 9123. 9383. 8727. None. I know that we hav to take lcm first for those 5 numbers.lcm is 8316. The soln is as follows:- 7248 n=8316*2 Here why should it be multiplied by 2? The ans comes to 9383.?
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Which of these is largest 4 digit number which when added to 7249 can ...
Solution:

Finding the LCM of given numbers:

- LCM of 12, 14, 21, 33 and 54 is 2772.

Finding the number to be added to 7249:

- Let the number be n.
- We need to find the largest 4 digit number, so the first two digits of n should be 99.
- n = 9900 + x, where x is a two-digit number.
- Given, (n + 7249) is divisible by 12, 14, 21, 33 and 54.
- LCM of 12, 14, 21, 33 and 54 is 2772.
- So, (n + 7249) should be a multiple of 2772.
- n + 7249 = 2772 × k, where k is an integer.
- n = 2772k - 7249.
- We need to find the largest value of n, which means we need to find the largest value of k.
- The largest possible value of k can be found by putting the smallest possible value of x, which is 00.
- k = (9900 + x + 7249) / 2772 = 7.
- Therefore, n = 2772 × 7 - 7249 = 9383.

Explanation:

- We multiply n by 2 because we need to find the largest 4 digit number to be added to 7249. The largest 4 digit number is 9999. So, if we add 9999 to 7249, we get 17248, which is a 5 digit number. Therefore, we need to add a number less than 9999, which is closest to 9999, i.e., 9990. When we add 9990 to 7249, we get 17239, which is not divisible by 12, 14, 21, 33, and 54. Therefore, we need to add a smaller number. We can keep subtracting 1 from 9990 until we get a number which is divisible by 12, 14, 21, 33, and 54. The first such number is 9383.
- The reason we need to find the LCM of the given numbers is that the number to be added to 7249 should be divisible by all those numbers. So, the number to be added should be a multiple of the LCM of those numbers.
Community Answer
Which of these is largest 4 digit number which when added to 7249 can ...
See the question is which number can be added to 7249 , to make it divisible to 8316 ( ie lcm of all numbers )
so now the number which can be divisible by 8316 should be multiple of 8316.
so either we can add 1067 to 7249 ( 8316 -7249 ) or 9383 ( 1067 + 8313 ) to make it multiple of 8316.
they have asked for highest 4 digit number so ans is 9383
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Directions: In this question, two rows are given and to find out the resultant of a particular row, you need to follow the steps given below. Give answer to the question asked accordingly. The operations on numbers progress from left to right.Step 1: If an odd number is followed by an even number, then the second number is to be subtracted from the first number.Step 2: If an even number is followed by a composite odd number, then they are to be multiplied.Step 3: If an even number is followed by a number which is a perfect Cube, then the even number is to be subtracted from perfect cube.Step 4: If an even number is followed by a prime odd number, then the first number is to be divided by the second number.Step 5: If an odd number is followed by another composite (a non-prime number) odd number, then they are to be added.Q. Find the resultant of the second row, if N is the resultant of the first row.

Directions: In this question, two rows are given and to find out the resultant of a particular row, you need to follow the steps given below. Give answer to the question asked accordingly. The operations on numbers progress from left to right.Step 1: If an odd number is followed by an even number, then the second number is to be subtracted from the first number.Step 2: If an even number is followed by a composite odd number, then they are to be multiplied.Step 3: If an even number is followed by a number which is a perfect Cube, then the even number is to be subtracted from perfect cube.Step 4: If an even number is followed by a prime odd number, then the first number is to be divided by the second number.Step 5: If an odd number is followed by another composite (a non-prime number) odd number, then they are to be added.Q. N is the resultant of the first row. Find the difference if N is subtracted from the resultant of second row.

Directions: In this question, two rows are given and to find out the resultant of a particular row, you need to follow the steps given below. Give answer to the question asked accordingly. The operations on numbers progress from left to right.Step 1: If an odd number is followed by an even number, then the second number is to be subtracted from the first number.Step 2: If an even number is followed by a composite odd number, then they are to be multiplied.Step 3: If an even number is followed by a number which is a perfect Cube, then the even number is to be subtracted from perfect cube.Step 4: If an even number is followed by a prime odd number, then the first number is to be divided by the second number.Step 5: If an odd number is followed by another composite (a non-prime number) odd number, then they are to be added.Q. Find the resultant of the first row if N is the resultant of the second row.

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Which of these is largest 4 digit number which when added to 7249 can be divided by 12,14,21,33 and 54.options:- 9123. 9383. 8727. None. I know that we hav to take lcm first for those 5 numbers.lcm is 8316. The soln is as follows:- 7248 n=8316*2 Here why should it be multiplied by 2? The ans comes to 9383.?
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Which of these is largest 4 digit number which when added to 7249 can be divided by 12,14,21,33 and 54.options:- 9123. 9383. 8727. None. I know that we hav to take lcm first for those 5 numbers.lcm is 8316. The soln is as follows:- 7248 n=8316*2 Here why should it be multiplied by 2? The ans comes to 9383.? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Which of these is largest 4 digit number which when added to 7249 can be divided by 12,14,21,33 and 54.options:- 9123. 9383. 8727. None. I know that we hav to take lcm first for those 5 numbers.lcm is 8316. The soln is as follows:- 7248 n=8316*2 Here why should it be multiplied by 2? The ans comes to 9383.? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of these is largest 4 digit number which when added to 7249 can be divided by 12,14,21,33 and 54.options:- 9123. 9383. 8727. None. I know that we hav to take lcm first for those 5 numbers.lcm is 8316. The soln is as follows:- 7248 n=8316*2 Here why should it be multiplied by 2? The ans comes to 9383.?.
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