1) Find the remainder of the division \( \left\lfloor \frac{1071 \times 1072 \times 1073 \times 1074}{15} \right\rfloor \)

(a) 7 (b) 6 (c) 9 (d) 4 (e) 14

2) Find the remainder of the division \( \left\lfloor \frac{2221 \times 2223 \times 2225}{17} \right\rfloor \)

(a) 3 (b) 6 (c) 9 (d) 7 (e) 11

3) Find the remainder of \( \frac{2^{7799}}{7} \)

(a) 3 (b) 2 (c) 6 (d) 4 (e) None of these

4) Find the remainder of \( \frac{2^{12345}}{9} \)

(a) 3 (b) 2 (c) 6 (d) 4 (e) 8

5) Find the remainder of \( \frac{2^{12345}}{11} \)

(a) 3 (b) 10 (c) 6 (d) 4 (e) 8

6) Find the remainder of the division \( \frac{2^{5555}}{13} \)

(a) 3 (b) 9 (c) 1 (d) 5 (e) None of these

7) Find the remainder of the division \( \frac{2^{7777}}{17} \)

(a) 3 (b) 9 (c) 2 (d) 5 (e) None of these

8) Find the remainder of the division \( \frac{2^{(12345678910\ldots \text{100 digits})}}{17} \)

(a) 3 (b) 2 (c) 4 (d) 5 (e) None of these

9) Find the remainder of the division \( \frac{2^{1819}}{19} \)

(a) 3 (b) 9 (c) 2 (d) 1 (e) None of these

10) Find the remainder of the division \( \frac{3^{123132}}{7} \)

(a) 3 (b) 9 (c) 2 (d) 1 (e) None of these

11) Find the remainder of the division \( \frac{3^{111111}}{11} \)

(a) 7 (b) 9 (c) 3 (d) 1 (e) None of these

12) Find the remainder of the division \( \frac{3^{133}}{13} \)

(a) 3 (b) 9 (c) 1 (d) 5 (e) None of these

13) Find the remainder of \( \frac{4^{5^{6^{7^{8^{9^{10}}}}}}}{6} \)

(a) 2 (b) 4 (c) 0 (d) 5 (e) None of these

14) Find the remainder of \( \frac{(1a2b3c4d5e6f7)^2}{8} \)

(a) 1 (b) 2 (c) 7 (d) depend on a, b, c, d, e & f (e) None of these

15) Find the remainder of \( \frac{3^{1234}}{28} \)

(a) 21 (b) 25 (c) 14 (d) 13 (e) 7

16) Find the remainder of \( \frac{3^{152}}{15} \)

(a) 3 (b) 4 (c) 2 (d) 1 (e) None of these

17) Find the remainder of \( \frac{153^{158}}{5} \)

(a) 3 (b) 4 (c) 2 (d) 1 (e) None of these

18) Find the remainder of \( \frac{1889 \times 1891 \times 1893 \ldots 1987}{7} \)

(a) 3 (b) 4 (c) 2 (d) 1 (e) None of these

19) Find the remainder of \( \frac{2^{100}}{12} \)

(a) 4 (b) 2 (c) 8 (d) 1 (e) None of these

20) Find the remainder of \( \frac{777777\ldots\text{(100 digits)}}{13} \)

(a) 1 (b) 7 (c) 3 (d) 5 (e) None of these