Algebra Practice Question and Answer
8 Q: If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$
1344 06022641f2dc71d4148a153c6
6022641f2dc71d4148a153c6- 130false
- 2-15false
- 3-30false
- 415true
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Answer : 4. "15"
Q: If 3x2-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is
1334 064ba71a62d3130f575436434
64ba71a62d3130f575436434- 1$$1{2\over 3} $$false
- 2$$1{1\over 3}$$false
- 3$$2{1\over 9}$$true
- 4$$2{2\over 3}$$false
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Answer : 3. "$$2{1\over 9}$$"
Q: If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is
1334 05f1e953c3b87486bfc54a61f
5f1e953c3b87486bfc54a61f- 10false
- 28false
- 312true
- 4-12false
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Answer : 3. "12 "
Q: Given that x3 + y3 = 72 and xy = 6 with x > y. Then the value of (x – y) is
1334 0646608460e79a6cedff9f9b0
646608460e79a6cedff9f9b0- 14false
- 2– 4false
- 32true
- 4–2false
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Answer : 3. "2 "
Q: If $$64^{x+1}={64\over 4^x}$$, then the value of x
1329 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
1328 05f1ec20b1b4d8003eeb22da6
5f1ec20b1b4d8003eeb22da6- 14 (a+b+c)false
- 23 abcfalse
- 3a + b + cfalse
- 40true
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Answer : 4. "0"
Q:Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.
(i) 21x² + 10x + 1 = 0
(ii) 24y²+ 26y + 5 = 0
1327 064d5cfffa79837744725ae33
64d5cfffa79837744725ae33(ii) 24y²+ 26y + 5 = 0
- 1x ≤ yfalse
- 2x ≥ yfalse
- 3x > yfalse
- 4x < yfalse
- 5x = y or no relation can be established between x & y.true
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Answer : 5. "x = y or no relation can be established between x & y."
Q: What is the value of a2+b2+c2-2ab-2bc+2ca?
1327 064805a7923e51f477704d402
64805a7923e51f477704d402- 1(2a + b + c)2false
- 2true
(a − b + c)2
- 3false
(a − b − 2c)2
- 4false
(a + 2b − c)2
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