Algebra Practice Question and Answer
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Q: If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is
1117 05f1e953c3b87486bfc54a61f
5f1e953c3b87486bfc54a61f- 10false
- 28false
- 312true
- 4-12false
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Answer : 3. "12 "
Q: If x2+4y2=17 and xy=2, where x>0,y>0, then what is the value of x3+8y3?
1113 064d22ad9ebd5c374726e29dc
64d22ad9ebd5c374726e29dc- 195false
- 285false
- 365true
- 476false
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Answer : 3. "65"
Q: If $$64^{x+1}={64\over 4^x}$$, then the value of x
1113 05f1ec11226299776aa42bc43
5f1ec11226299776aa42bc43- 1$$1\over 2$$false
- 22false
- 31false
- 40true
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Answer : 4. "0"
Q: If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x3 +y3 + z3 -3xyz will be
1111 05f1ec20b1b4d8003eeb22da6
5f1ec20b1b4d8003eeb22da6- 14 (a+b+c)false
- 23 abcfalse
- 3a + b + cfalse
- 40true
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Answer : 4. "0"
Q: $$ {x^{8}+4\over{x^{4}+2x^{2}+2}}$$ is equal to
1111 060225c16ad295556282a4122
60225c16ad295556282a4122- 1$$ {x^{4}+2x^{2}-2}$$false
- 2$$ {x^{4}-2x^{2}+2}$$true
- 3$$ {x^{4}-2x^{2}-2}$$false
- 4Can’t be simplifiedfalse
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Answer : 2. "$$ {x^{4}-2x^{2}+2}$$"
Q: If a, b are rational number and (a-1)√2+3=b√2+a, the value of (a+b) is :
1105 05f1ec0ca1b4d8003eeb22a16
5f1ec0ca1b4d8003eeb22a16- 1-3false
- 25true
- 3-5false
- 43false
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Answer : 2. "5"
Q: If $$ {x^{4}+x^{2}y^{2}+y^{4}={21\over256}}$$ and $$ {x^{2}+xy+y^{2}={3\over16}}$$ then $$ {2(x^{2}+y^{2})}=?$$
1104 06051c545d3e3d30b29d9a4c8
6051c545d3e3d30b29d9a4c8- 1$$ {3\over 8}$$false
- 2$$ {5\over 8}$$true
- 3$$ {3\over 4}$$false
- 4$$ {5\over 16 }$$false
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Answer : 2. "$$ {5\over 8}$$"
Q: if a=26 and b=22, then the value of $${{a^3-b^3}\over {a^2-b^2}}-{3ab\over a+b}$$ is
1093 06480447b23e51f4777046d10
6480447b23e51f4777046d10- 1$$11\over 13$$false
- 2$$1\over 3$$true
- 3$$5\over 3$$false
- 4$$13\over 11$$false
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Answer : 2. "$$1\over 3$$"
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