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

Explanation:
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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:

Which  of  the  following  substances  cause temporary hardness in water?

1. Mg(HCO3)2

2. Ca(HCO3)2

3. CaCl2

4. MgSO4

A) 3 and 4 B) 2and 3
C) 1 and 4 D) 1 and 2
 
Answer & Explanation Answer: D) 1 and 2

Explanation:

There are two types of water hardness: temporary and permanent hardness. Temporary hardness is due to the presence of calcium hydrogen carbonate Ca(HCO3)2(aq) and magnesium hydrogen carbonate Mg(HCO3)2(aq).

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Q:

Which one of the following is not a characteristic of a compound?

A) Composition is variable.  B) All particles of compound are of only one type.
C) Particles of compound have two or more elements. D) Its constituents cannot be separated by simple physical methods.
 
Answer & Explanation Answer: B) All particles of compound are of only one type.

Explanation:

A mixture is made from different substances that are not chemically joined.Compound:

•Two or more elements combine together chemically to form a new substance called compound.

•The different elements are chemically joined together.•Compounds are homogeneous, i.e. their properties are the same throughout

•The compound has properties different from the elements it contains.

•It can only be separated into its elements using chemical reactions. (not using physical methods)

•During the formation of a compound from its elements, a certain amount of energy in the form of heat, light, electricity is either absorbed or evolved

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Q:

Bright light is found to emit from photographer’s flashgun. This brightness is due to the presence of which one of the following noble gases?

A) Argon B) Xenon
C) Neon D) Helium
 
Answer & Explanation Answer: B) Xenon

Explanation:

Electronic Flash differs from the consumable bulb flash in important aspects. Instead of creating light by burning up in an atmosphere containing oxygen, a consumable material (each bulb being used therefore only once), it produces a brilliant incandescent by discharging a current for a brief instant through a rarified gas, usually xenon. The gas glows every time the discharge is made through it but it is not consumed, so that many thousands of flashes are obtainable from a single tube, which helps to offset the much higher cost of the initial apparatus.

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