ALGEBRA MCQ SET 4
1. If a + b + c = 6 , aยฒ + bยฒ + cยฒ = 14 and ab + bc + ca = 11 , then what is the value of aยณ + bยณ + cยณ – 3abc ?
(a) 31
(b) 12
(c) 18
(d) 42
Answer: C
2. If a + b + c = 15 and ab + bc + ca = 35 , then find the value of aยณ + bยณ + cยณ – 3abc .
(a) 2100
(b) 1500
(c) 1200
(d) 1800
Answer: D
3. If (a + b + c) = 20 , and aยฒ + bยฒ + cยฒ = 152 , find the value of aยณ + bยณ + cยณ – 3abc .
(a) 560
(b) 640
(c) 480
(d) 720
Answer: A
4. If the sum of three numbers is 18 and the sum of their square is 36 , then find the difference between the sum of their cubes and three times of their product .
(a) 1449
(b) -1944
(c) -1494
(d) 4149
Answer: B
5. If x = 110 , y = 111 , z = 112 , then find the value of xยณ + yยณ + zยณ – 3xyz .
(a) 999
(b) 991
(c) 997
(d) 995
Answer: A
6. If (aยณ + bยณ + cยณ – 3abc) = 405 , and (a + b + c) = 15 , find the value of (a – b)ยฒ + (b – c)ยฒ + (c – a)ยฒ .
(a) 27
(b) 54
(c) 18
(d) 45
Answer: B
7. If (5x + 1)ยณ + (x – 3)ยณ + 8(3x – 4)ยณ = 6(5x + 1) (x – 3) (3x – 4) , then x is equal to :
(a) 5/6
(b) 1/3
(c) 2/3
(d) 3/4
ย Answer: A
8. If ab + bc + ca = 8 aยฒ + bยฒ + cยฒ = 20 , then possible value of 1/2(a + b + c) [(a – b)ยฒ + (b – c)ยฒ + (c – a)ยฒ] is :
(a) 72
(b) 56
(c) 84
(d) 80
Answer: A
9. If p = 106 , q = 105 and r = 104 , then value of pยฒ + qยฒ + rยฒ – pq – qr – rp is :
(a) 2
(b) 0
(c) 1
(d) 3
Answer: C
10. If aยฒ + bยฒ = 148 and ab = 54 , then find the value of a + b/a – b .
(a) 8/โ10
(b) 2/โ10
(c) 8/โ7
(d) 5/โ3
Answer: A
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