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Q:

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

A) 1/2 B) 5/12
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/12

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Q:

If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?

A) 18 B) – 9
C) – 27 D) – 18
 
Answer & Explanation Answer: B) – 9

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Q:

If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?

A) – 3 B) – 6
C) – 1 D) – 9
 
Answer & Explanation Answer: A) – 3

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Q:

If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?

A) (4√3 – 1)/4 B) (4√3 + 1)/2
C) (–4√3 – 1)/4 D) (–4√3 – 1)/2
 
Answer & Explanation Answer: C) (–4√3 – 1)/4

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Q:

If x and y are natural numbers such that x + y = 2017, then what is the value of ( 1)x+ ( 1)y?

A) 2 B) – 2
C) 0 D) 1
 
Answer & Explanation Answer: C) 0

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Q:

If α and β are the roots of the equation x2+ x  1 = 0, then what is the equation whose roots are α5 and β5?

A) x2 + 7x – 1 = 0 B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0 D) x2 + 11x – 1 = 0
 
Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Q:

p3 + q3 + r3  3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3  3abc?

A) 4 B) 8
C) 2 D) 12
 
Answer & Explanation Answer: B) 8

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Q:

What is the value of √121 + √12321 + √1234321 + √123454321?

A) 12345 B) 123456
C) 12344 D) 123454
 
Answer & Explanation Answer: C) 12344

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