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FIA Assistant Director Past Papers

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Compound interest/depreciation

medium2012FIA Assistant Director Paper 2012
MathematicsFIA

A building worth Rupees 133,100 is constructed on land worth Rs 72,900. After how many years will the value of both be the same if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?

A
2
B
3
C
4
D
5
Explanation and memory cue

The building depreciates at 10% per annum, so its value after t years is 133,100 × (0.9)^t. The land appreciates at 10% per annum, so its value after t years is 72,900 × (1.1)^t. Setting these equal and solving for t gives approximately 4 years.

172

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Percentages

easy2012FIA Assistant Director Paper 2012
MathematicsFIA

What is 45% of (25% of Rs 1600)?

A
Rs 20
B
Rs 30
C
Rs 180
D
None of these
Explanation and memory cue

To find 45% of (25% of Rs 1600), first calculate 25% of Rs 1600: 25% of 1600 = 0.25 × 1600 = Rs 400. Then calculate 45% of Rs 400: 45% of 400 = 0.45 × 400 = Rs 180. Therefore, the correct answer is Rs 180, which corresponds to option C.

173

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Area & Percentages

medium2012FIA Assistant Director Paper 2012
MathematicsFIA

The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A
35%
B
36%
C
37%
D
None of these
Explanation and memory cue

If the length of a rectangle is increased by 60%, the new length is 1.6 times the original length. To maintain the same area, the width must be decreased so that the product of the new length and new width equals the original area. Let the fractional decrease in width be y. Then (1.6) × (1 - y) = 1. Solving for y gives y = 0.375, which means the width must be decreased by 37.5%. Among the given options, 37% (option C) is the closest and correct percentage decrease to maintain the same area.

174

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Human Rights Day

easy2012FIA Assistant Director Paper 2012
Current AffairsFIA

Human Rights Day is observed on:

A
11 December
B
12 December
C
13 December
D
10 December
Explanation and memory cue

Human Rights Day is observed annually on 10 December to commemorate the adoption of the Universal Declaration of Human Rights by the United Nations General Assembly in 1948.

175

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Comprehension/Vocabulary

easy2012FIA Assistant Director Paper 2012
EnglishFIA

The reply that she liked chocolate didn't seem ------------ to my question on whether Judy wanted to meet at nine or ten to study.

A
Relevant
B
Irrelevant
C
Spotted
D
None of these
Explanation and memory cue

The sentence implies that the reply about liking chocolate did not seem connected or related to the question about meeting times, so 'irrelevant' is the correct choice. 'Relevant' would mean the reply was connected, which contradicts the sentence meaning.

176

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Circulatory system

medium2012FIA Assistant Director Paper 2012
BiologyFIA

How much blood does the normal human heart pump into the arteries with each contraction?

A
70 cm
B
60 cm
C
50 cm
D
None of these
Explanation and memory cue

The question asks about the volume of blood pumped by the human heart with each contraction, which is known as the stroke volume and is typically measured in milliliters (mL), not centimeters (cm). The average stroke volume is about 70 mL, so none of the given options with units in cm are correct. Therefore, 'None of these' is the correct answer.

177

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Vocabulary

easy2012FIA Assistant Director Paper 2012
EnglishFIA

The movie star's latest -------------- was captured by several photographers. Prancing around half-naked in a fountain seemed tame for her.

A
Escapade
B
Usual
C
Irregular
D
None of these
Explanation and memory cue

The word 'escapade' correctly fits the sentence as it means a daring or adventurous act, which matches the context of the movie star's behavior. The other options do not fit grammatically or contextually.

178

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Planets

easy2012FIA Assistant Director Paper 2012
AstronomyFIA

Which planet is called the watery planet?

A
Earth
B
Saturn
C
Mercury
D
None of these
Explanation and memory cue

Earth is called the watery planet because it has abundant liquid water covering about 71% of its surface, unlike other planets in the solar system.

179

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Middle East

Easy2012FIA Assistant Director Paper 2012
Current AffairsFIA

When did Turkey invade Cyprus?

A
1972
B
1973
C
1974
D
None of these
Explanation and memory cue

Turkey invaded Cyprus in 1974 following a coup d'état by Greek Cypriot nationalists. This military intervention is a well-documented historical event marking the beginning of the ongoing division of the island.

180

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Sri Lanka

easy2012FIA Assistant Director Paper 2012
Current AffairsFIA

Temple Trees is the official residence of the:

A
Prime Minister of Sri Lanka
B
President of Sri Lanka
C
Chief Justice of Sri Lanka
D
None of these
Explanation and memory cue

Temple Trees is the official residence of the Prime Minister of Sri Lanka, making option A correct. It is a well-known fact in Sri Lankan current affairs and political geography.