Consider a regular hexagon ABCDEF. Two towers are | Simplification Questions & Answers

Q:

1.123 + 11.23 + 112.3 = ?

A) 123.453	B) 124.653
C) 125.253	D) 123.953

Answer & Explanation Answer: B) 124.653

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Q:

Find the factors of $(x^{2} - x - 132)$ ?

A) x - 11x - 12	B) (x + 12)(x - 11)
C) (x + 11)(x + 12)	D) (x - 12)(x + 11)

Answer & Explanation Answer: D) (x - 12)(x + 11)

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Q:

What is the simplified value of $\frac{\sqrt{5} + \sqrt{4}}{\sqrt{5} - \sqrt{4}} + \frac{\sqrt{5} - \sqrt{4}}{\sqrt{5} + \sqrt{4}}$ ?

A) 9	B) 10
C) 18	D) 20

Answer & Explanation Answer: C) 18

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Q:

A) 110	B) 220
C) 330	D) 440

Answer & Explanation Answer: C) 330

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Q:

What is the value of $(6 x^{2} - 5 y^{2}) (6 x^{2} + 5 y^{2}), if x = \frac{1}{\sqrt{3}} and y = \frac{1}{\sqrt{5}}$ ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: B) 3

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Q:

The two equations are 4x + 4ky-6=0 and x+6y-12=0. Find the value of k for the pair of two linear equations represents the parallel lines.

A) 2	B) 6
C) 8	D) 10

Answer & Explanation Answer: B) 6

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Q:

Find the y-intercept of the line joining two points (1, 3) and (3, 5).

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

Answer & Explanation Answer: C) 2

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Q:

Calculate the total numbers of prime factors in the expression ${(5)}^{11} x {(5)}^{7} x {(7)}^{5} x {(3)}^{2} x {(17)}^{2}$ .

A) 35	B) 36
C) 37	D) 38

A) 1:√3	B) 1:3
C) 1:2	D) 1:2√3

Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?

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