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Algebra Practice Questions & Answers

35 vote

If a3 + b3 + c3 – 3abc = 0 then, which one is correct?

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If a3 + b3 + c3 – 3abc = 0 then, which one is correct?
1). a = b - c
2). a + b + c = 0
3). a + c = b
4). a = b + c

0 vote

The value of t for which \({m^2} - \frac{5}{2}m + t\) will be a perfect square, is

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The value of t for which \({m^2} - \frac{5}{2}m + t\) will be a perfect square, is


1). \(\frac{{25}}{4}\)
2). \(\frac{{25}}{{16}}\)
3). \(\frac{5}{2}\)
4). \(\frac{5}{4}\)

0 vote

If x2 – 7x + 1 = 0, then the value of \(\frac{{{x^6} + \;1}}{{{x^3}}}\;is\)

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If x2 – 7x + 1 = 0, then the value of \(\frac{{{x^6} + \;1}}{{{x^3}}}\;is\)


1). 335
2). 322
3). 325
4). 328

0 vote

Of the three numbers the sum of first two is 55, the sum of the second and the third is 75 and the sum of the third and thrice the first is 100. Determine the third number.

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Of the three numbers the sum of first two is 55, the sum of the second and the third is 75 and the sum of the third and thrice the first is 100. Determine the third number.
1). 30
2). 20
3). 35
4). 40

0 vote

If 4pxy = (x + 2y)2 - (x - 2y)2, then what will be the value of p?

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If 4pxy = (x + 2y)2 - (x - 2y)2, then what will be the value of p?
1). 0.5
2). 0.25
3). 4
4). 2