1. What is the remainder when (1!)^{3}+(2!)^{3}+(3!)^{3}+(4!)^{3}+…….+(1152!)^{3}+ is divided by 1152?

Answer – 225

225 is the remainder when (1!)^{3}+(2!)^{3}+(3!)^{3}+(4!)^{3}+…….+(1152!)^{3}+ is divided by 1152.

1. What is the remainder when (1!)^{3}+(2!)^{3}+(3!)^{3}+(4!)^{3}+…….+(1152!)^{3}+ is divided by 1152?

Answer – 225

225 is the remainder when (1!)^{3}+(2!)^{3}+(3!)^{3}+(4!)^{3}+…….+(1152!)^{3}+ is divided by 1152.

2. Find the remainder when 7^{99 }is divided by 2400.

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Answer – 343

The remainder when 7^{99 }is divided by 2400 is 343.

2. Find the remainder when 7^{99 }is divided by 2400.

Answer – 343

The remainder when 7^{99 }is divided by 2400 is 343.

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3. Find the remainder when (10^{3}+9^{3})^{752 }is divided by 12^{3}?

Answer – 1

The remainder when (10^{3}+9^{3})^{752 }is divided by 12^{3 }is 1.

3. Find the remainder when (10^{3}+9^{3})^{752 }is divided by 12^{3}?

Answer – 1

The remainder when (10^{3}+9^{3})^{752 }is divided by 12^{3 }is 1.

4. The remainder obtained when 43^{101}+23^{101 }is divided by 66 is:

Answer – 0

The remainder obtained when 43^{101}+23^{101 }is divided by 66 is 0.

4. The remainder obtained when 43^{101}+23^{101 }is divided by 66 is:

Answer – 0

The remainder obtained when 43^{101}+23^{101 }is divided by 66 is 0.

5. What is the remainder when 2(8!) – 21(6!) divides 14(7!) + 14(13!)?

Answer – 7!

7! is the remainder when 2(8!) – 21(6!) divides 14(7!) + 14(13!).

5. What is the remainder when 2(8!) – 21(6!) divides 14(7!) + 14(13!)?

Answer – 7!

7! is the remainder when 2(8!) – 21(6!) divides 14(7!) + 14(13!).

6. Find the last two digits of 15 * 37 * 63 * 51 * 97 * 17.

Answer – 3 5

The last two digits of 15 * 37 * 63 * 51 * 97 * 17 is 3 5.

6. Find the last two digits of 15 * 37 * 63 * 51 * 97 * 17.

Answer – 3 5

The last two digits of 15 * 37 * 63 * 51 * 97 * 17 is 3 5.

7. The remainder when 10^{10}+10^{100}+10^{1000}+…….+10^{10000000000 }is divided by 7 is:

Answer – 5

The remainder when 10^{10}+10^{100}+10^{1000}+…….+10^{10000000000 }is divided by 7 is 5.

7. The remainder when 10^{10}+10^{100}+10^{1000}+…….+10^{10000000000 }is divided by 7 is:

Answer – 5

The remainder when 10^{10}+10^{100}+10^{1000}+…….+10^{10000000000 }is divided by 7 is 5.

8. Find the sum of the sum of even divisors of 96 and the sum of odd divisors of 3600.

Answer – 651

The sum of the sum of even divisors of 96 and the sum of odd divisors of 3600 is 651.

8. Find the sum of the sum of even divisors of 96 and the sum of odd divisors of 3600.

Answer – 651

The sum of the sum of even divisors of 96 and the sum of odd divisors of 3600 is 651.

9. Find the sum of divisors of 544 which are perfect squares.

Answer – 21

The sum of divisors of 544 which are perfect squares is 21.

9. Find the sum of divisors of 544 which are perfect squares.

Answer – 21

The sum of divisors of 544 which are perfect squares is 21.

10. If x is a number of five-digits, which when divided by 8, 12, 15 and 20 leaves respectively 5, 9, 12 and 17 as remainders, then find x such that it is the lowest such number.

Answer – 10077

If x is a number of five-digits, which when divided by 8, 12, 15 and 20 leaves respectively 5, 9, 12 and 17 as remainders, and if x is such that it is the lowest such number, then x is 10077.

10. If x is a number of five-digits, which when divided by 8, 12, 15 and 20 leaves respectively 5, 9, 12 and 17 as remainders, then find x such that it is the lowest such number.

Answer – 10077

If x is a number of five-digits, which when divided by 8, 12, 15 and 20 leaves respectively 5, 9, 12 and 17 as remainders, and if x is such that it is the lowest such number, then x is 10077.