1. Find the number of divisors of 1728.
Answer – 28
The number of divisors of 1728 is 28.
2. The rightmost non-zero digit of the number 302720 is.
Answer – 1
The rightmost non-zero digit of the number 302720 is 1.
3. Find the sum of divisors of 544 excluding 1 and 544.
Answer – 589
The sum of divisors of 544 excluding 1 and 544 is 589.
4. Find the number of zeroes at the end of 48!.
Answer – 10
The number of zeroes at the end of 48! is 10.
5. Find the maximum value of n such that 157! is perfectly divisible by 10n.
Answer – 38
The maximum value of n such that 157! is perfectly divisible by 10n is 38.
6. Find the maximum power of 18 in 200!.
Answer – 48
The maximum power of 18 in 200! is 48.
7. Find the units digit of the expression 111+122+133+144+155+166
Answer – 9
The units digit of the expression 111+122+133+144+155+166 is 9.
8. Find the units digit of the expression 127813*5533703*4532828.
Answer – 4
The units digit of the expression 127813*5533703*4532828 is 4.
9. Find the remainder when (1!)3+(2!)3+(3!)3+(4!)3+…….+(1152!)3.
Answer – 225
The remainder when (1!)3+(2!)3+(3!)3+(4!)3+…….+(1152!)3 is 225.
10. Find the remainder when 799 is divided by 2400.
Answer – 343
The remainder when 7999 is divided by 2400 is 225.
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