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Q:

If 2x - 3 = 3x - 5, then the numerical value of ${(x - 3)}^{2}$ is

A) 5	B) 1
C) -5	D) -1

Answer & Explanation Answer: B) 1

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Q:

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

The researchers are _____________ into the mode of life of diabetes patients as diabetes is a lifestyle ailment.

A) inspecting	B) investigating
C) observing	D) seeing

Answer & Explanation Answer: B) investigating

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Q:

$What is the value of {(1 + cotA)}^{2} + {(1 - cotA)}^{2} ?$

A) 2cosec2A	B) 2sec2A
C) 1 - 2cosec2A	D) 1 - 2sec2A

Answer & Explanation Answer: A) 2cosec2A

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Q:

$If a + b = 8 and ab = 15, then a^{3} + b^{3} is$

A) 224	B) 244
C) 152	D) 128

Answer & Explanation Answer: C) 152

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Q:

Expand and simplify ${(x + 4)}^{2} + {(x - 2)}^{2}$

A) 2(x2 + 2x + 10)	B) 2(x2 + 2x - 10)
C) 2(x2 - 2x + 10)	D) 2(x2 - 2x - 10)

Answer & Explanation Answer: A) 2(x2 + 2x + 10)

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Q:

Factorise $24 x^{2} - 54 x - 15$

A) 3(2x + 5)(4x - 1)	B) 3(2x - 5)(4x + 1)
C) 2(3x - 5)(4x + 1)	D) 4(2x - 5)(3x + 1)

Answer & Explanation Answer: B) 3(2x - 5)(4x + 1)

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Q:

If x - y = -8 and xy = 45, then $(x^{2} + y^{2})$ is

A) 154	B) 64
C) 90	D) 26

Answer & Explanation Answer: A) 154

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Q:

If $1 / \sqrt (1 + \cot^{2} A) = x$ , then value of x is

A) sinA	B) cosecA
C) cosA	D) secA

Answer & Explanation Answer: A) sinA

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