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21
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Grammar (Conditionals)
medium2020FIA Assistant Director Paper 2020
English LanguageFIA
If they had gone through the novel, ___.
A
they would have understood the plot of the movie
B
they had understood the plot of the movie
C
they will understand the plot of the movie
D
None of these
Explanation and memory cue
The sentence is a third conditional structure, which uses 'If they had gone...' followed by 'they would have understood...' to express a hypothetical past situation and its possible result. Option A correctly completes the sentence with the appropriate conditional form.
22
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Energy Projects/Regional Affairs
easy2020FIA Assistant Director Paper 2020
General KnowledgeFIA
The Iran-Pakistan-India gas pipeline is also known as:
A
Friendly Pipeline
B
Peace Pipeline
C
Great pipeline
D
None of these
Explanation and memory cue
The Iran-Pakistan-India gas pipeline is commonly referred to as the "Peace Pipeline" because it is intended to promote regional cooperation and energy security among the three countries.
23
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Area and Percentage Change
medium2020FIA Assistant Director Paper 2020
MathematicsFIA
The width of a rectangle is twice the size of its length. The length is increased by 30% and the width is increased by 20%. What will be the percentage change in the area of the rectangle?
A
56
B
50
C
44
D
None of these
Explanation and memory cue
Let the original length be L and the width be W = 2L. The original area is A = L × 2L = 2L². After the increase, the new length is 1.3L and the new width is 1.2 × 2L = 2.4L. The new area is 1.3L × 2.4L = 3.12L². The percentage change in area is ((3.12L² - 2L²) / 2L²) × 100% = (1.12 / 2) × 100% = 56%. Therefore, the area increases by 56%. This matches option A, confirming the original answer is correct.
24
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Grammar (Tense/Passive/Errors)
easy2020FIA Assistant Director Paper 2020
English LanguageFIA
Police ___ two men following a robbery in Commercial Market this afternoon.
A
are being questioned
B
are questing
C
have been questioned
D
None of these
Explanation and memory cue
The sentence requires the present continuous passive form to indicate an ongoing action. 'Are being questioned' correctly fits this context, while 'are questing' is incorrect (wrong word), 'have been questioned' indicates a completed action, and 'None of these' is not appropriate.
25
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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.
26
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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.
27
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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.
28
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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.
29
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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.
30
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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).