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Q:

If x – (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2  3x + 2) / (3x4 + 3)?

A) 1/3 B) 2/3
C) 4/3 D) 5/3
 
Answer & Explanation Answer: C) 4/3

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Q:

If x2 + (1/x2) = 31/9 and x > 0, then what is the value of x3 + (1/x3)?

A) 70/9 B) 154/27
C) 349/27 D) 349/7
 
Answer & Explanation Answer: B) 154/27

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Q:

If a = 73, b = 74 and c = 75, then what is the value of a3 + b3 + c3  3abc?

A) 365 B) 444
C) 666 D) 999
 
Answer & Explanation Answer: C) 666

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Q:

If 92 A 42 B 32 = 56 and 72 A 22 B 12 = 44, then 112 A 52 B 72 = ?

A) 29 B) 32
C) 47 D) 24
 
Answer & Explanation Answer: C) 47

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Q:

If 27x + 27[x(1/3)] = 972, then what is the value of x?

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: A) 2

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Q:

If x = (√2 + 1)/(√2 – 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?

A) 5 B) 2
C) 2√3 D) 2√2
 
Answer & Explanation Answer: C) 2√3

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Q:

Find x, if 5x-6+5x+6 = 6

A) -4 B) 0
C) 2 D) 4
 
Answer & Explanation Answer: C) 2

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Q:

If x3  y3 = 81 and x – y = 3, then what is the value of x2 + y2?

A) 18 B) 21
C) 27 D) 36
 
Answer & Explanation Answer: B) 21

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