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Q:

If $(3^{33} + 3^{33} + 3^{33}) (2^{33} + 2^{33}) = 6^{x}$ , then what is the value of x?

A) 34	B) 35
C) 33	D) 33.5

Answer & Explanation Answer: A) 34

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Filed Under: Simplification
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Q:

If 56 × 75 × 60 × 84 × 210 = $2^{p} \times 3^{q} \times 5^{r} \times 7^{s}$ , then what is the value of [(p + q)/s] + r?

A) 6	B) 8
C) 12	D) 10

Answer & Explanation Answer: B) 8

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Q:

If $A = \frac{1}{1 x 2} + \frac{1}{1 x 4} + \frac{1}{2 x 3} + \frac{1}{4 x 7} + \frac{1}{3 x 4} + \frac{1}{7 x 10} . . .$ upto 20 terms, then what is the value of A?

A) 379/308	B) 171/140
C) 379/310	D) 420/341

Answer & Explanation Answer: D) 420/341

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Q:

If $A = \frac{0.216 + 0.008}{0.36 + 0.04 - 0.12} & B = \frac{0.729 - 0.027}{0.81 + 0.09 + 0.27}$ , then what is the value of ${(A^{2} + B^{2})}^{2}$ ?

A) 0.8	B) 1
C) 1.4	D) 2.2

Answer & Explanation Answer: B) 1

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Q:

Coefficient of $x^{2}$ in (x + 9)(6 - 4x) is

A) 54	B) -4
C) 30	D) 4

Answer & Explanation Answer: B) -4

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Q:

What is the value of ${(4a}^{2} + 8 b + 14 c + 2) / 2$ ?

A) 2a2 + 4b + 7c + 1	B) a2 + 4b + 7c + 1
C) 2a2 + 4b + 7c + 2	D) a2 + 4b + 7c + 2

Answer & Explanation Answer: A) 2a2 + 4b + 7c + 1

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Q:

If $\tan^{2} A - \tan^{2} B = x$ , then the value of x is

A) (sin2A - sin2B)/(cos2A cos2B)	B) (sin2A sin2B)/(cos2A - cos2B)
C) (sin2A + sin2B)/(cos2A cos2B)	D) (sin2A sin2B)/(cos2A + cos2B)

Answer & Explanation Answer: A) (sin2A - sin2B)/(cos2A cos2B)

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Q:

Product of $9 b^{2}, 3 a^{2}$ and 4ab is

A) 108a2b2	B) 108a3b3
C) 108a3b2	D) 108a4b4

Answer & Explanation Answer: B) 108a3b3

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