Algebra Question with answer Practice Question and Answer
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Q: If $$ \ {xy\over x+y}= a, $$ $${xz\over x+z}=b $$ and $$ {yz\over y+z} =c $$ where a, b, c are all non – zero numbers, then x equals to
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5da8441eb247ec0cc95f4c77- 1$$ 2abc\over {ab+bc-ac} $$false
- 2$$ 2abc\over {ab+ac-ac} $$false
- 3$$ 2abc\over {ac+bc-ab} $$true
- 4$$ 2abc\over {ac+bc-ac} $$false
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Answer : 3. "$$ 2abc\over {ac+bc-ab} $$"
Q: A complete factorization of x4+64 is
521 063861340a72dd915f318247d
63861340a72dd915f318247d- 1$$\left(x^2+8 \right)^2 \ $$false
- 2$$\left(x^2+8 \right) \ (x^2-8)$$false
- 3$$\left(x^2-4x+8 \right) \ (x^2-4x-8)$$false
- 4$$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$true
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Answer : 4. "$$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$"
Q: If p3 – q3 = (p-q)[(p-q)2+xpq)] then the value of x is
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63861300a72dd915f31820dc- 11false
- 2-1false
- 33true
- 42false
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Answer : 3. "3"
Q: If $$x+{1\over x}=c{1\over c}$$ then the value of x
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6343d7e4e76f2264c5df97a4- 1c, 1\ctrue
- 2c, c2false
- 3c, 2cfalse
- 40, 1false
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Answer : 1. "c, 1\c "
Q: If P = 99, then the value of P(P2+3P+3) is
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6343d790e76f2264c5df91ee- 1999false
- 2999999true
- 399999false
- 499false
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Answer : 2. "999999"
Q: When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient=double the remainder. If the remainder is 80 then the value of x is
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6343d74a3a01e50b270088c7- 16480true
- 29680false
- 38460false
- 44680false
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Answer : 1. "6480"
Q: If $${x}^2+{y}^2x+1=0$$ then the value of $$x^{31}+y{35}$$ is
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5d8c8e00e01f466533646b06- 1– 1true
- 20false
- 31false
- 42false
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Answer : 1. "– 1 "
Q: $${a\over b}={2\over3}$$ and $${b\over c}={4\over5}$$ then the ratio $${a+b}\over {b+c}$$ equal to:
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5e16f4970972601d1eb7e746- 1$${20\over27} $$true
- 2$${27\over20} $$false
- 3$${6\over8} $$false
- 4$${8\over6} $$false
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Answer : 1. " $${20\over27} $$"
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