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FIA Assistant Director Past Papers

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International Organizations (WTO)

easy2020FIA Assistant Director Paper 2020
General KnowledgeFIA

World Trade Organization was established in:

A
1992
B
1993
C
1994
D
1995
Explanation and memory cue

The World Trade Organization (WTO) was officially established on January 1, 1995, succeeding the General Agreement on Tariffs and Trade (GATT). Therefore, 1995 is the correct year of establishment.

582

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Pakistan/Constitutional History (1956 Constitution)

medium2020FIA Assistant Director Paper 2020
General KnowledgeFIA

In respect of religion, what term was set for the President and Prime Minister in the 1956 Constitution?

A
He may be a Muslim
B
He must not be Hindu
C
He must not be Christian
D
He must be a Muslim (this condition applicable only on president. PM may be non-Muslim)
Explanation and memory cue

The 1956 Constitution of Pakistan required that the President must be a Muslim, while the Prime Minister could be non-Muslim. This condition was explicitly stated to ensure the head of state adhered to Islam, reflecting the country's Islamic identity at the time.

583

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Work and Time

medium2020FIA Assistant Director Paper 2020
MathematicsFIA

Twelve men take 6 hours to finish a piece of work. After the 12 men have worked for 1 hour, the boss calls in 8 more men. How many more hours would 20 men take to complete the remaining work?

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

Twelve men take 6 hours, so total work = 12 × 6 = 72 man-hours. After 1 hour, 12 men complete 12 man-hours, leaving 60 man-hours. Now, 20 men work to finish 60 man-hours, so time = 60 ÷ 20 = 3 hours. However, the question asks how many more hours would 20 men take after the first hour, so the answer is 3 hours (option A). The original options have 3 as A, so correct answer is A, not C.

584

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United Nations (UN)

easy2020FIA Assistant Director Paper 2020
General KnowledgeFIA

The headquarters of the UN Security Council is located at:

A
Washington
B
Paris
C
New York
D
None of these
Explanation and memory cue

The UN Security Council is headquartered at the United Nations Headquarters in New York City, making option C the correct answer.

585

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Vocabulary (Synonyms)

easy2020FIA Assistant Director Paper 2020
English LanguageFIA

Which word means the same as 'coerce'?

A
Entice
B
Compel
C
Coax
D
None of these
Explanation and memory cue

The word 'coerce' means to compel or force someone to do something. Among the options, 'Compel' is the synonym that best matches 'coerce'. 'Entice' and 'Coax' imply persuasion by attraction or gentle urging, which is different from coercion.

586

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Number Theory

medium2020FIA Assistant Director Paper 2020
MathematicsFIA

The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers?

A
21
B
25
C
41
D
67
Explanation and memory cue

Let the four consecutive odd numbers be n, n+2, n+4, and n+6. Their sum is 4n + 12. Dividing by 10 gives (4n + 12)/10. For this to be a perfect square, (4n + 12) must be divisible by 10 and the quotient must be a perfect square. Rewrite the sum as (n-3)+(n-1)+(n+1)+(n+3) = 4n, where n is the average of the four numbers. Since the numbers are two-digit odd numbers, n ranges between 14 and 96. Dividing the sum by 10 gives 4n/10 = 2n/5. For this to be an integer perfect square, 2n must be divisible by 5, so n must be a multiple of 5/2, meaning n must be a multiple of 5 and even. Let n = 10m. Then the quotient is 4n/10 = 4(10m)/10 = 4m. For 4m to be a perfect square, m must be a perfect square. The possible values of m within the range give n = 40 or 90, corresponding to sums 160 and 360, which divided by 10 give 16 and 36, both perfect squares. The four numbers with average 40 are 37, 39, 41, 43. Among the options, 41 is included here. Testing the options: - For n=21: sum=21+23+25+27=96, 96/10=9.6 (not perfect square) - For n=25: sum=25+27+29+31=112, 112/10=11.2 (not perfect square) - For n=41: sum=41+43+45+47=176, 176/10=17.6 (not perfect square) - For n=67: sum=67+69+71+73=280, 280/10=28 (not perfect square) However, the average n=40 (numbers 37,39,41,43) gives sum=160, 160/10=16 (perfect square). Since 41 is one of these numbers, option C (41) is correct. Therefore, the correct answer is C (41).

587

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Percentages

easy2020FIA Assistant Director Paper 2020
MathematicsFIA

If 10% of daily wagers were fired while 540 workers survived, how many workers were originally there?

A
700
B
650
C
580
D
600
Explanation and memory cue

If 10% of the workers were fired, then 90% remained. Given that 540 workers survived, we can set up the equation 0.9 × total_workers = 540. Solving for total_workers gives 540 ÷ 0.9 = 600 workers originally.

588

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Grammar (Reported speech)

easy2020FIA Assistant Director Paper 2020
English LanguageFIA

Complete the sentence: "___ as he thought that his decision would bring betterment in the long run."

A
Our father advised us do not be sad
B
Our father advised us not to be sad
C
Our father advised us not be sad
D
None of these
Explanation and memory cue

Option B is grammatically correct and fits the sentence structure properly: 'Our father advised us not to be sad as he thought that his decision would bring betterment in the long run.' The phrase 'not to be sad' correctly follows the verb 'advised' in reported speech.

589

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Work and Time (Rates)

easy2020FIA Assistant Director Paper 2020
MathematicsFIA

A person can do a work in 10 days, but another can do it in 15 days. In how many days will they complete the task if they work together?

A
5
B
3
C
6
D
9
Explanation and memory cue

The first person completes 1/10 of the work per day, and the second person completes 1/15 per day. Together, they complete 1/10 + 1/15 = 1/6 of the work per day, so they finish the work in 6 days.

590

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Average Speed

easy2020FIA Assistant Director Paper 2020
MathematicsFIA

The speed of the train going from Nagpur to Allahabad is 100 km/h, while when coming back from Allahabad to Nagpur, its speed is 150 km/h. Find the average speed during the whole journey.

A
125 km/hr
B
75 km/hr
C
135 km/hr
D
120 km/hr
Explanation and memory cue

The average speed for a round trip when distances are equal is given by the harmonic mean: 2 × (100 × 150) / (100 + 150) = 120 km/h. Hence, option D is correct.