To find the nearest integer to 5347 which is exactly divisible by 137, we need to determine the multiples of 137 that are closest to 5347 and see which one is the nearest.
- First, find the quotient by dividing 5347 by 137: \[\text{Quotient} = \frac{5347}{137} = 39.044\]. Since we want an integer, consider the nearest integers: - Floor of the quotient is 39. - Ceiling of the quotient is 40.
- Calculate the nearest integers which are exact multiples of 137:
- Multiply the floor of the quotient by 137: 39 \times 137 = 5343.
- Multiply the ceiling of the quotient by 137: 40 \times 137 = 5480.
- Compare these products with 5347:
- Difference between 5347 and 5343 is 5347 - 5343 = 4.
- Difference between 5480 and 5347 is 5480 - 5347 = 133.
- Therefore, the nearest integer to 5347 exactly divisible by 137 is 5343.
Hence, the correct answer is 5343.
Similar Questions
- Find the largest number which should replace P in the 7- digit number 87893P4 to make the number divisible by 4.
- Find the smallest non-zero value of k so that 7-digit number 48397k5 is divisible by 9.
- How many of the following numbers are divisible by 3 but not by 9? 2142, 3423, 2430, 4521, 8433, 3258
- If the number 2A19281870B is divisible by both 8 and 11, where A and B are single-digit integers, then the values of A and B are:
- If a number is divisible by both 11 and 13, then it must be:
- If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X + Y is:
- What is the least value of k, so that 23k57 is divisible by 3?
- In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 12, then what is the dividend?
- Which of the following numbers will completely divide $4^{12} + 4^{13} + 4^{14} + 4^{15}$?
- The number 7918378 is divisible by:
Important Questions from Divisibility and Remainder
If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y), for the maximum value of y?
If all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?
If 3 2019 is divided by 10, then what is the remainder?
The number 3798125P369 is divisible by 7. What is the value of the digit P?
Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?
1. S is always divisible by 74.
2. S is always divisible by 9.
select the correct answer using the code given below:
