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The least number of five digits exactly divisible by 88 is: (SSC MTS 2017)
- a)10088
- b)10023
- c)10132
- d)10032
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The least number of five digits exactly divisible by 88 is: (SSC MT...
The smallest number of 5 digits = 10000
Now, 10000/88 = 113, and remainder is 56
∴ Required number = 10000 + (88 – 56) = (10000 + 32) = 10032.
Now, 10000/88 = 113, and remainder is 56
∴ Required number = 10000 + (88 – 56) = (10000 + 32) = 10032.
Most Upvoted Answer
The least number of five digits exactly divisible by 88 is: (SSC MT...
**Problem:**
Find the least number of five digits exactly divisible by 88.
**Solution:**
To find the least number of five digits exactly divisible by 88, we need to find the smallest multiple of 88 that has five digits.
**Method:**
To find the smallest multiple of 88 with five digits, we can start by dividing the smallest five-digit number (10000) by 88 and check if it is divisible without a remainder.
**Step 1:**
Divide 10000 by 88:
10000 ÷ 88 = 113.636363...
Since this division results in a decimal value, it means that 10000 is not divisible by 88.
**Step 2:**
Next, we need to find the smallest multiple of 88 that is greater than 10000. We can do this by finding the remainder when 10000 is divided by 88 and subtracting it from 88.
10000 ÷ 88 = 113 remainder 56
88 - 56 = 32
So, the smallest multiple of 88 greater than 10000 is 10000 + 32 = 10032.
**Step 3:**
Finally, we need to check if 10032 is divisible by 88 without a remainder.
10032 ÷ 88 = 114
Since this division results in a whole number (114), it means that 10032 is divisible by 88.
Therefore, the least number of five digits exactly divisible by 88 is 10032.
Hence, the correct answer is option D) 10032.
Find the least number of five digits exactly divisible by 88.
**Solution:**
To find the least number of five digits exactly divisible by 88, we need to find the smallest multiple of 88 that has five digits.
**Method:**
To find the smallest multiple of 88 with five digits, we can start by dividing the smallest five-digit number (10000) by 88 and check if it is divisible without a remainder.
**Step 1:**
Divide 10000 by 88:
10000 ÷ 88 = 113.636363...
Since this division results in a decimal value, it means that 10000 is not divisible by 88.
**Step 2:**
Next, we need to find the smallest multiple of 88 that is greater than 10000. We can do this by finding the remainder when 10000 is divided by 88 and subtracting it from 88.
10000 ÷ 88 = 113 remainder 56
88 - 56 = 32
So, the smallest multiple of 88 greater than 10000 is 10000 + 32 = 10032.
**Step 3:**
Finally, we need to check if 10032 is divisible by 88 without a remainder.
10032 ÷ 88 = 114
Since this division results in a whole number (114), it means that 10032 is divisible by 88.
Therefore, the least number of five digits exactly divisible by 88 is 10032.
Hence, the correct answer is option D) 10032.
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