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Telangana TET Paper 2 Math and Science Model Paper 2

Section: Math and Science

Question : 132 of 150

Marks: +1, -0

Evaluate 23^{3} + (-11)^{3} + (-12)^{3}.

Solution:

Concept:

The cube of a number is the number multiplied by itself three times. A negative number cubed remains negative.

Explanation:

First, find

23^3 = 23 \times 23 \times 23 = 12167

Next,

(-11)^3 = - (11 \times 11 \times 11) = -1331

Then,

(-12)^3 = - (12 \times 12 \times 12) = -1728

Add them:

12167 + (-1331) + (-1728) = 12167 - 1331 - 1728

Combine the negatives:

12167 - (1331 + 1728) = 12167 - 3059

Subtract to get

9108

Answer:

9108, which is option A.

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