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Q:

If α and β are the roots of the equation $x^{2} + x - 1 = 0$ , then what is the equation whose roots are $α^{5} and β^{5}$ ?

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:

$p^{3} + q^{3} + r^{3} - 3 pqr = 4 . If a = q + r, b = r + p and c = p + q, then what is the value of a 3 + b 3 + c 3 - 3 abc ?$

A) 4	B) 8
C) 2	D) 12

Answer & Explanation Answer: B) 8

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Q:

What is the unit digit of $1^{5} + 2^{5} + 3^{5} + . . . + 20^{5}$ ?

A) 0	B) 5
C) 2	D) 4

Answer & Explanation Answer: A) 0

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Q:

What is the value of $\frac{1}{3 \times 7} + \frac{1}{7 \times 11} + \frac{1}{11 \times 15} + . . . + \frac{1}{899 \times 903}$ ?

A) 21/509	B) 18/403
C) 25/301	D) 29/31

Answer & Explanation Answer: C) 25/301

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Q:

If $(1 + \frac{1}{2}) (1 + \frac{1}{4}) (1 + \frac{1}{6}) (1 + \frac{1}{8}) (1 - \frac{1}{3}) (1 - \frac{1}{5}) (1 - \frac{1}{7}) = 1 + \frac{1}{x}$ , then what is the value of x?

A) 6	B) 8
C) 5	D) 7

Answer & Explanation Answer: B) 8

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Q:

If $\frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}}$ = $\frac{5}{8}$ , then what is the value of x?

A) 2	B) 3
C) 1	D) 4

Answer & Explanation Answer: A) 2

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Q:

What is the value of $\frac{3.6 \times 1.62 + 0.48 \times 3.6}{1.8 \times 0.8 + 10.8 \times 0.3 - 2.16}$ ?

A) 2.4	B) 2
C) 4	D) 3

Answer & Explanation Answer: D) 3

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Q:

What is the value of $\frac{1}{0.2} + \frac{1}{0.02} + \frac{1}{0.002} + . . . upto 9 terms$

A) 222222222	B) 111111111
C) 555555555	D) 525252525

Answer & Explanation Answer: C) 555555555

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Filed Under: Numbers
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