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Q:

What is the simplified value of sin2(90θ)[sin(90θ)sinθ/tanθ]?

A) 1 B) cosec θ
C) 0 D) cos θ
 
Answer & Explanation Answer: C) 0

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Q:

If x2 + (1/x2) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1?

A) -9 B) 0
C) 1 D) 9
 
Answer & Explanation Answer: C) 1

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Q:

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )?

A) 75 B) 83
C) 217 D) 225
 
Answer & Explanation Answer: B) 83

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Q:

If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/x81)?

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

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Q:

If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

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Q:

Consider the following chemical reaction :

aFe2O3(s) + bCO(g) + cFe(s) + dCO2

In the balanced chemical equation of the above, which of the following will be the values of the coefficients a, b, c and d respectively?

A) 3, 2, 3, 1 B) 1, 3, 2, 3
C) 2, 3, 3, 1 D) 3, 3, 2, 1
 
Answer & Explanation Answer: B) 1, 3, 2, 3

Explanation:

Fe2O3 + 3CO = 2Fe + 3CO2

Hematite + Carbon Monoxide = Iron + Carbon Dioxide

In this reaction, the iron oxide is reduced to iron, and the carbon is oxidised to carbon dioxide.

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Q:

If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

A) 9 : 4 : 25 B) 25 : 4 : 9
C) 64 : 25 : 49 D) 49 : 25 : 64
 
Answer & Explanation Answer: C) 64 : 25 : 49

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Q:

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A) 2√3 B) √3
C) 1/√3 D) Cannot be determined
 
Answer & Explanation Answer: B) √3

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