Number system 7 questions

1.What is the reminder 5⁷ when                     is divided by 24?

A) 1   B) 2 C)  3 D) 5
2.A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

A) 10   B) 11  C) 12    D) 15
3.On dividing a number by 7, we get 4 as remainder. What will the remainder when the square of the number is divided by 7?      
4.Find the remainder of (354 x 975 x 452 + 1246) when divided by 6.
5.What is the remainder when (5642 + 3452 - 1249) is divided by 7?
6.If 17200 is divided by 16, the remainder is:
7.last digit of the number 342³⁷ x 647⁴⁴ + 528²¹ - 12323