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GPSC Gujarat Number System — practice questions

6 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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If $a + b = 7$ and $a - b = 3$, what is $a^2 - b^2$?Expand $(x + 5)^2$.If $a + b + c = 0$, what is the value of $a^3 + b^3 + c^3$?Factorise $a^3 - b^3$.If $x + \dfrac{1}{x} = 5$, find $x^3 + \dfrac{1}{x^3}$.If $a + b + c = 6$ and $a^2 + b^2 + c^2 = 14$, find $ab + bc + ca$.