Question : What is $x$, if $x^{3}=1.5^{3}-0.9^{3}-2.43?$
Option 1: –0.5
Option 2: 0.6
Option 3: –0.7
Option 4: –1.6
Correct Answer: 0.6
Solution : $x^3=1.5^3 - 0.9^3-2.43$ $⇒x^3=3.375-0.729-2.43$ $⇒x^3=0.216$ $⇒x^3=0.6^3$ $⇒x=0.6$ Hence, the correct answer is 0.6.
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Question : What is the value of $\small \frac{(0.7)^{3}-(0.4)^{3}}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$?
Option 1: 0.3
Option 2: 0.7
Option 3: 0.9
Option 4: 1.1
Question : What is the value of $\frac{(0.5)^{3}-(0.1)^{3}}{(0.5)^{2}+0.5\times 0.1+(0.1)^{2}}$?
Option 1: $0.1$
Option 2: $0.4$
Option 3: $0.5$
Option 4: $0.6$
Question : Simplify the given expression: $(1 + x)^3 + (1 – x)^3 + (–2)^3$
Option 1: $6(1 - x^2)$
Option 2: $-3(1 - x^2)$
Option 3: $-6(1 - x^2)$
Option 4: $3(1 - x^2)$
Question : The value of $x$ in the following equation is: 0.3 + 0.6 + 0.7 + 0.8 = $x$
Option 1: $5.3$
Option 2: $2\frac{3}{10}$
Option 3: $2\frac{2}{5}$
Option 4: $2.35$
Question : If $x$ and $y$ are real numbers, then the least possible value of $4 (x -2)^2+ (y-3)^2-2 (x-3)^2$ is:
Option 1: 3
Option 2: –4
Option 3: 1
Option 4: –8
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