Algebra MCQ Set 3
ALGEBRA MCQ SET 3
1. The value of the expression (1.55 + 0.55 + 1.55 x 0.55) is equal to :-
(a) 1.55² – 0.55²
(b) 1.55³ – 0.55³
(c) 1.55³ + 0.55³
(d) 1.55² + 0.55²
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Answer: B
2. If 3a + 2b = 27 and 27a³ + 8b³ = 1458 , then find 2ab .
(a) 72
(b) 70
(c) 77
(d) 75
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Answer: D
3. If a² + b² + c² = 2(a + c – 1) , then the value of a³ + b³ + c³ = ?
(a) 0
(b) 2
(c) 4
(d) 1
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Answer: B
4. If x² + y² + z² = 2(x + z – 1) , then the value of x³ + y³ + z³ is equal to :
(a) 6
(b) 1
(c) 2
(d) 8
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Answer: C
5. If a² + b² + 9 – 6b + (a + b – 4)² = 2ab – 6a then find ab?
(a) 7/4
(b) -7/4
(c) 7/2
(d) 12
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Answer: A
6. If (x + y + z) = 23 and x² + y² + z² = 179 then find the value of (xy + yz + zx) .
(a) 225
(b) 280
(c) 175
(d) 350
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Answer: C
7. If x + y + z = 19 , x² + y² + z² = 133 and xz = y² , x > z > 0 , what is the value of (x – z) ?
(a) 0
(b) 5
(c) -2
(d) -5
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Answer: B
8. If x – y = 1 and x² + y² = 41 where x , y ≥ 0 , then the value of x + y will be :
(a) 9
(b) 8
(c) 6
(d) 7
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Answer: A
9. If a + b = 12 and ab = 35 , find the value of a^4 + b^4 – 10³ ?
(a) 2226
(b) 2026
(c) 2126
(d) 1226
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Answer: B
10. If a² + b² + 1 = 2a , then the value of a^4 + b^7 is :
(a) 1
(b) 0
(c) 2
(d) 4
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Answer: A