How many three digit numbers are there in which all the digits are odd?
125
The odd digits are 1, 3, 5, 7, 9 — five choices. Each of the three places (hundreds, tens, units) can independently be any odd digit (no place restriction since 0 is excluded anyway).
By the fundamental counting principle:
\[5 \times 5 \times 5 = 125\]
Therefore, there are 125 such three-digit numbers.
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Important Questions from Integers
Find the value of \(\sqrt{2025}\) .
How many times does the number 5 occur in the range of numbers from 1 to 100?
A. 21
B. 22
C. 20
D. 19
A prime number
A. is not a positive integer.
B. has no divisor at all.
C. has only 1 and itself as divisors.
D. has more than two divisors.
__________ are twin prime number.
A. (4, 9)
B. (2, 3)
C. (4, 6)
D. (3, 5)A factory produced 18,58,509 cassettes in the month of January, 7623 more cassettes in the of February and owing to short supply of electricity produced 25,838 less cassettes in March than in February. Find the total production in all?
A. 55,57,312
B. 59,83,245
C. 55,64,935
D. 56,08,988
