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Q:

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?

A) 77 B) 79
C) 81 D) 83
 
Answer & Explanation Answer: B) 79

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If x + [1/(4x)] = 5/2, then what is the value of (64x6+ 1)/8x3?

A) 110 B) 115
C) 125 D) 140
 
Answer & Explanation Answer: A) 110

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Q:

If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2+ 15x + 1)?

A) 1/5 B) 1/10
C) 2/5 D) 10
 
Answer & Explanation Answer: B) 1/10

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Q:

If x3+ 2x2 5x + k is divisible by x + 1, then what is the value of k?

A) -6 B) -1
C) 0 D) 6
 
Answer & Explanation Answer: A) -6

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Q:

Circum center of ΔABC is O. If BAC = 75 and BCA = 80 degrees,

 then what is the value of OAC(in deg)?

A) 45 B) 65
C) 90 D) 95
 
Answer & Explanation Answer: B) 65

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If 3a – (3/a) – 3 = 0, then what is the value of a3  (1/a3) + 2?

A) 0 B) 2
C) 4 D) 6
 
Answer & Explanation Answer: D) 6

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Q:

If (x/y)a-4 = (y/x)2a-5, then what is the relation between x and y?

A) x > y B) Cannot be determined
C) x < y D) x = y
 
Answer & Explanation Answer: B) Cannot be determined

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Q:

If the expression px3  2x2  qx + 18 is completely divisible by (x2  9), then what is the ratio between p and q respectively?

A) 1:9 B) 1:3
C) 3:1 D) 9:1
 
Answer & Explanation Answer: A) 1:9

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Filed Under: Simplification
Exam Prep: Bank Exams