Question:
Find the minimum numbers starting from 74 that are multiplied to get 50 zeros at the end ?
Find the minimum numbers starting from 74 that are multiplied to get 50 zeros at the end ?
Updated On: Sep 10, 2024
- 150
- 160
- 180
- 200
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The Correct Option is D
Solution and Explanation
To get fifty zeros at the end, there must be fifty 5’s in the multiplication.
The numbers which contribute 5’s are 75, 80, 85……..
Thus, the number of 5’s in each of them = 2 + 1 + 1 + 1 + 1 + 2 + 1 + 1 +………
In the 5 such numbers, six 5s are obtained. To get fifty 5s, 8 such groups are needed. Also note that 125 and 250 will have three 5s.
So, a total of 5 × 8 × 5 = 200 numbers must be multiplied.
So, the correct option is (D) : 200.
The numbers which contribute 5’s are 75, 80, 85……..
Thus, the number of 5’s in each of them = 2 + 1 + 1 + 1 + 1 + 2 + 1 + 1 +………
In the 5 such numbers, six 5s are obtained. To get fifty 5s, 8 such groups are needed. Also note that 125 and 250 will have three 5s.
So, a total of 5 × 8 × 5 = 200 numbers must be multiplied.
So, the correct option is (D) : 200.
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