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The value of [24(20×5+10)÷11−(23×15÷20)−(9×16)][{2^4 (20 × 5 + 10) ÷11}-(2^3 × 15 ÷ 20) - (9 × 16)][24(20×5+10)÷11−(23×15÷20)−(9×16)] is:​
Question

The value of [24(20×5+10)÷11(23×15÷20)(9×16)][{2^4 (20 × 5 + 10) ÷11}-(2^3 × 15 ÷ 20) - (9 × 16)] is:​

A.

8

B.

16

C.

10

D.

12

Correct option is C

[24(20×5+10)÷11(23×15÷20)(9×16)]=[16(100+10)÷11(8×15÷20)(9×16)]=[16×110÷11(6)(9×16)]=[16×10(6)(9×16)]=154144=10[{2^4 (20 × 5 + 10) ÷11}-(2^3 × 15 ÷ 20) - (9 × 16)]\\=[{16 (100 + 10) ÷11}-(8× 15 ÷ 20) - (9 × 16)]\\=[{16× 110 ÷11}-(6) - (9 × 16)]\\=[{16× 10}-(6) - (9 × 16)]\\=154-144\\=10\\​​

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